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# IPMAT Mock Test - 8 (New Pattern)

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IPMAT Mock Test - 8 (New Pattern) - Question 1

### Answer the questions on the basis of the information given below:A, B, C. D and E are five brothers. They have assets in the form of flats and cash only. Together they have 9 flats and each brother has at least 1 flat. Value (in terms of rupees) of all flats is equal and constant. Cash with each brother is an integral multiple of Rs. 10 lakhs. The amount of cash with B is just enough to buy one more flat, all the other brothers have cashless than that of B. E has got the maximum number of flats. A number of flats with A is equal to the sum of the number of flats with B and C. Amount of cash with B is double of that with D, but D has got assets worth Rs. 20 lakhs more than that of B.What is the value of 1 flat?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 1 E has got the maximum number of flats and number of flats with A is equal to the sum of a number of flats with B and C. As there are 9 flats, so possible solutions are when E, A, B, C and D have 3, 2, 1, 1 and 2 or 4, 2, 1. 1 and 1 flats respectively.

Case I:B and D have one flat and two flats respectively.

Let the value of a flat be Rs. x. So, the amount of cash with B = x.

So total assets of B = 2x

Total assets of As D has got assets worth 20 lakhs more than that of B

Case II:

B and D have one flat each.

Let value of a flat be Rs. x. So, amount of cash with B = x

⇒ Total assets of B = 2x

Total assets of

As D has got assets worth 20 lakhs more than B

Here the value of x is coming as negative. So this case is not possible.

We can collate the final distribution of assets in the following table:

In above table B's flat is 40 lacks so,value of 1 flat is Rs 40 lacks.

IPMAT Mock Test - 8 (New Pattern) - Question 2

### Answer the questions on the basis of the information given below:A, B, C. D and E are five brothers. They have assets in the form of flats and cash only. Together they have 9 flats and each brother has at least 1 flat. Value (in terms of rupees) of all flats is equal and constant. Cash with each brother is an integral multiple of Rs. 10 lakhs. The amount of cash with B is just enough to buy one more flat, all the other brothers have cashless than that of B. E has got the maximum number of flats. A number of flats with A is equal to the sum of the number of flats with B and C. Amount of cash with B is double of that with D, but D has got assets worth Rs. 20 lakhs more than that of B.What is the ratio of the maximum possible value of assets of E to the minimum possible value of assets of C?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 2 E has got the maximum number of flats and number of flats with A is equal to the sum of a number of flats with B and C. As there are 9 flats, so possible solutions are when E, A, B, C and D have 3, 2, 1, 1 and 2 or 4, 2, 1. 1 and 1 flats respectively.

Case I:B and D have one flat and two flats respectively.

Let the value of a flat be Rs. x. So, the amount of cash with B = x.

So total assets of B = 2x

Total assets of As D has got assets worth 20 lakhs more than that of B

Case II:

B and D have one flat each.

Let value of a flat be Rs. x. So, amount of cash with B = x

⇒ Total assets of B = 2x

Total assets of

As D has got assets worth 20 lakhs more than B

Here the value of x is coming as negative. So this case is not possible.

We can collate the final distribution of assets in the following table:

Maximum possible assets of E = 150 lakhs and minimum possible assets of C = 50 lakhs. so, Ratio is = 3 : 1​.

IPMAT Mock Test - 8 (New Pattern) - Question 3

### Answer the questions on the basis of the information given below:A, B, C. D and E are five brothers. They have assets in the form of flats and cash only. Together they have 9 flats and each brother has at least 1 flat. Value (in terms of rupees) of all flats is equal and constant. Cash with each brother is an integral multiple of Rs. 10 lakhs. The amount of cash with B is just enough to buy one more flat, all the other brothers have cashless than that of B. E has got the maximum number of flats. A number of flats with A is equal to the sum of the number of flats with B and C. Amount of cash with B is double of that with D, but D has got assets worth Rs. 20 lakhs more than that of B.For how many brothers is it possible to find out the exact value of their total assets?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 3 E has got the maximum number of flats and number of flats with A is equal to the sum of a number of flats with B and C. As there are 9 flats, so possible solutions are when E, A, B, C and D have 3, 2, 1, 1 and 2 or 4, 2, 1. 1 and 1 flats respectively.

Case I:B and D have one flat and two flats respectively.

Let the value of a flat be Rs. x. So, the amount of cash with B = x.

So total assets of B = 2x

Total assets of As D has got assets worth 20 lakhs more than that of B

Case II:

B and D have one flat each.

Let value of a flat be Rs. x. So, amount of cash with B = x

⇒ Total assets of B = 2x

Total assets of

As D has got assets worth 20 lakhs more than B

Here the value of x is coming as negative. So this case is not possible.

We can collate the final distribution of assets in the following table:

According to the table B and D buy 1 and 2 flat respectively.

So, Only for B and D, it is possible to find the exact value of their total assets.​

Only 2 brothers find out the exact value of their total assets.

Hence the correct option is B.

IPMAT Mock Test - 8 (New Pattern) - Question 4

All natural numbers that give remainders 1 and 2 when divided by 6 and 5, respectively, are written in ascending order, side by side from left to right. What is the 99th digit from the left?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 4 Natural numbers which when divided by 5 give a remainder 2 are given by 5K + 2 [‘k’ is a whole number].

Natural numbers which when divided by 6 give a remainder 1 are given by 6m +1 [‘m’ is a whole number].

5k + 2 = 6m + 1 or 6m - 5k = 1.

All such natural numbers are 7, 37, 67, 97,127

Numbers when written one beside the other

7, 37, 67, 97, 127, 157, 187, 217, 247, 277, 307, 337.......so on.

Observe the series.

The first 4 numbers give first 7 digits. After these 4 numbers, 3 digit numbers follow. The 3 digit numbers from an A.P. with common difference 30.

First three digit number = 127

The 30th 3-digit number is = 127 + (30 -1) × 30

= 997

=> The first 34 numbers (= 4 + 30) give 97 digits (= 7 + 3 × 30)

The next number in this A.P is 997 + 30 = 1027

=> the 99th digit is 0.

Hence answer is an option (d).

IPMAT Mock Test - 8 (New Pattern) - Question 5

A combo pack having a bulb and a tube light costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tube light escalates by 50%. the pack would cost Rs. 50. Find the price of a tube light?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 5 cost of a tubelight = t and cost of a bulb = b.

t + b = 52

cost of bulb drops by 20% and cost of tubelight increases by 50%

⇒1.5t + 0.8b = 50

Solving the two equations in t and b

t + b = 52.......(i)

1.5t + 0.8b = 50.......(ii)

Multiplying (i) equation by 4 and (ii) equation by 5

4t + 4b = 2087.5t + 4b = 250

Subtracting

3.5 t = 42

⇒ t = 12

Thus, the cost of a tube light = Rs. 12

IPMAT Mock Test - 8 (New Pattern) - Question 6

How many sets of three distinct factors of the number N = 26 x 34 x 52 can be made such that the factors in each set have a highest common factor of 1 with respect to every other factor in that set?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 6 N = 26 × 34 × 52

Case: [A]

when none of the elements is 1 ⇒ the three factors must be some powers of 2, 3, 5 respectively.

⇒ total number of such sets = 6 × 4 × 2 = 48

Case: [B]

when one of the elements is 1

⇒ the other two factors could be of the form (2a), (3b) − number of sets = 6 × 4 = 24

(26), (52) − number of sets = 6 × 2 = 12

(34),(52) − number of sets = 4 × 2 = 8

(26 × 34 × 52) − number of sets = 6 × 4 × 2 = 48

(26 × 52 × 34) − number of sets = 6 × 2 × 4 = 48

(34 × 52 × 26) − number of sets = 4 × 2 × 6 = 48

∴ total number of such sets = 188

combining both the cases, total sets possible

= 188 + 48 = 236

IPMAT Mock Test - 8 (New Pattern) - Question 7

Find all the values of p, such that 6 lies some where between the roots of the equation

x2 + 2(p - 3)x + 9 = 0. (‘x’ is a real number).

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 7

Both the roots will be real as 6 lies between the roots

(i) b2 − 4ac > 0

= 4(p − 3)2 − 4 × 9 > 0P(P − 6) > 0

p > 6 or p < />

(ii), since x = 6 lies between the two roots.

so, (6)2 + 2(p − 3)6 + 9 < />

Hence the correct option is A.

IPMAT Mock Test - 8 (New Pattern) - Question 8

Sum to n terms of the series

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 8

Hence the correct option is D.

IPMAT Mock Test - 8 (New Pattern) - Question 9

A manufacturing company conducted workshops on three techniques namely designing, formatting and testing for its executives. The number of executives who attended the workshop on designing is twice and thrice of the number of executives who attended the workshops on formatting and testing respectively. 42 executives attended the workshop on formatting. The aggregate number of executives who attended the workshops on exactly two techniques is at most 25% of the aggregate number of executives who attended the workshops on exactly one technique. Workshops on any combination of exactly two techniques were attended by more than 1 executive.

If the minimum possible executives attended the workshop on all three techniques, then find the minimum possible number of executives who attended the workshop on designing only.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 9 Minimum possible number of executives who attended the workshop on all three techniques = 0.

Since we have to minimise the number of executives who attended the workshop on only designing, we have to maximise the number of executives who attended the workshop on designing, formatting and testing.

A minimum number of employees who attended the workshop on formatting and testing = 2.

A + 2B = 154.

Maximum possible value of B = 25 (Since maximum possible value of B = 0.25A)

The minimum possible value of the number of executives who attended the workshop on only designing.

= 84-(25 - 2) = 61.

IPMAT Mock Test - 8 (New Pattern) - Question 10

How many integers “a” are there such that 9x2 + 3ax + (a + 5) > 0 for all values of x ?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 10 If 9x2 + 3ax + (a + 5) > 0 for all values of x, then the discriminant of this quadratic expression must be negative.

⇒ (3a)2 -4(9) (a + 5) < 0 or a2 - 4a - 20 < 0 or R (a - 2)2 < 24

⇒ -2.89

⇒ a = -2, -1,0, 1, 2, 3, 4, 5, 6

⇒ there are 9 such integral values.

Hence (c) is the correct option.

IPMAT Mock Test - 8 (New Pattern) - Question 11

a, b and c are positive real numbers such that a + b + c = p, where 'p' is a constant. Find the maximum value of (p - a) (p - b)(p - c).

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 11 (p − a), (p − b) and (p − c) all are positive numbers.

∴ AM ≥ GM

Hence (b) is the correct answer.

Alternative Method:

(p − a) + (p − b) + (p − c) = 2p(constant)

⇒ (p − a)⋅(p − b)⋅(p − c) will be maximum when

p − a = p − b = p − c = 2p/3

Maximum value of the product

IPMAT Mock Test - 8 (New Pattern) - Question 12

What is the remainder when 36001 + 76000 is divided by 13?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 12 36001 = 3 ⋅ (36000) = 3 ⋅ (36)1000 = 3 ⋅ (729)1000 = 3(728 + 1)1000

728 is divisible by 13, so the remainder is 3.

76000 = (74)1500 = (2401)1500 = (2392 + 9)1500

2392 is divisible by 13, so we have to find the remainder when 91500 is divided by 13.

91500 = (36)500 = (729)500 = (728 + 1)500

since 728 is divisible by 13, therefore the remainder is 1.

So the net remainder = 3 + 1 = 4

IPMAT Mock Test - 8 (New Pattern) - Question 13

In a shoe store, there are 12 highly expensive pair of shoes. One night, thieves break in and steal 4 shoes, not necessarily having a matching pair among them. What is the probability that at least one matching pair of shoes was stolen?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 13 Total number of ways to choose 4 shoes

Total number of ways in which no pair is selected

∴ Probability of not getting a pair

Hence, probability of selecting one pair

Hence the correct option is B.

IPMAT Mock Test - 8 (New Pattern) - Question 14

Read the following graph carefully and answer the question given below.

The bar chart given below shows the import of soya bean (in quintals) for the year 2011 to 2016.

The import of Soya bean in the year 2015 is what per cent of the import of Soya bean in the year 2012?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 14 Required per cent of the import of Soya bean in the year 2012 = 390 × 100/340 = 114.7

Hence the correct option is C.

IPMAT Mock Test - 8 (New Pattern) - Question 15

Directions: Read the following graph carefully and answer the question given below.

The bar graph given below shows the per acre yield (in kg) of different countries. Study the graph carefully and answer the questions

By how much percentage is India's per acre yield more than that of Bhutan's?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 15 India's per acre yield = 200kg Bhutan's per acre yield = 80 kg

Difference in yield = 200 − 80 = 120kg

∴ Required % = 150%

Hence the correct option is B.

IPMAT Mock Test - 8 (New Pattern) - Question 16

Find out the ratio of milk to that of water, if a mixture is formed after mixing milk and water of 3 same vessels containing the mixture of milk to that of water in the proportion 3:2, 7:3, 9:2 respectively.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 16 Required mixture

Hence the correct option is C.

IPMAT Mock Test - 8 (New Pattern) - Question 17

A chemist has 20 litres of a solution that is 20% hydrochloric acid by volume. He wants to dilute the solution to 4% strength by adding water how many litres of water must be added?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 17 Initial Quantity of Acid Litr And that of water = 16 litre percent of water

Hence the correct option is C.

IPMAT Mock Test - 8 (New Pattern) - Question 18

The surface area of a sphere is 5024 m2. What is the volume of the sphere? (Approx)

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 18 Surface area of sphere = 4πr2 = 5024.

So r2 = 5024/4π = 400.

So r = 20 m.

Volume of sphere = 33523.8 m3 = 33524 m3 (approx.).

Hence the correct option is A.

IPMAT Mock Test - 8 (New Pattern) - Question 19

What is the diameter (in cm) of a sphere of surface area 154 sq cm?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 19 Surface area of sphere 4πr2 = 154cm2

diameter = 2r

diameter = 7cm

Hence the correct option is D.

IPMAT Mock Test - 8 (New Pattern) - Question 20

A boat running downstream covers a distance of 18 km in 2 hours while for covering the same distance upstream, it takes 3 hours. What is the speed of the boat in still water?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 20 Speed of boat in downstream = 18 ÷ 2 = 9 kmph

Speed of boat in upstream = 18 ÷ 3 = 6 kmph

Speed of boat in still water = 1 ÷ 2 (9 + 6) = 7.5 kmph

Hence the correct option is D.

IPMAT Mock Test - 8 (New Pattern) - Question 21

Answer the questions on the basis of the information given below:

A, B, C. D and E are five brothers. They have assets in the form of flats and cash only. Together they have 9 flats and each brother has at least 1 flat. Value (in terms of rupees) of all flats is equal and constant. Cash with each brother is an integral multiple of Rs. 10 lakhs. The amount of cash with B is just enough to buy one more flat, all the other brothers have cashless than that of B. E has got the maximum number of flats. A number of flats with A is equal to the sum of the number of flats with B and C. Amount of cash with B is double of that with D, but D has got assets worth Rs. 20 lakhs more than that of B.

What can be the maximum possible value of assets of A?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 21 E has got the maximum number of flats and number of flats with A is equal to the sum of a number of flats with B and C. As there are 9 flats, so possible solutions are when E, A, B, C and D have 3, 2, 1, 1 and 2 or 4, 2, 1. 1 and 1 flats respectively.

Case I:B and D have one flat and two flats respectively.

Let the value of a flat be Rs. x. So, the amount of cash with B = x.

So total assets of B = 2x

Total assets of As D has got assets worth 20 lakhs more than that of B

Case II:

B and D have one flat each.

Let value of a flat be Rs. x. So, amount of cash with B = x

⇒ Total assets of B = 2x

Total assets of

As D has got assets worth 20 lakhs more than B

Here the value of x is coming as negative. So this case is not possible.

We can collate the final distribution of assets in the following table:

According to table Maximum possible value of assets of A can be Rs. 110 lakhs.

IPMAT Mock Test - 8 (New Pattern) - Question 22

Answer the questions on the basis of the information given below:

A, B, C. D and E are five brothers. They have assets in the form of flats and cash only. Together they have 9 flats and each brother has at least 1 flat. Value (in terms of rupees) of all flats is equal and constant. Cash with each brother is an integral multiple of Rs. 10 lakhs. The amount of cash with B is just enough to buy one more flat, all the other brothers have cashless than that of B. E has got the maximum number of flats. A number of flats with A is equal to the sum of the number of flats with B and C. Amount of cash with B is double of that with D, but D has got assets worth Rs. 20 lakhs more than that of B.

What can be the maximum possible value of the assets of all the brothers taken together?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 22 E has got the maximum number of flats and number of flats with A is equal to the sum of a number of flats with B and C. As there are 9 flats, so possible solutions are when E, A, B, C and D have 3, 2, 1, 1 and 2 or 4, 2, 1. 1 and 1 flats respectively.

Case I:B and D have one flat and two flats respectively.

Let the value of a flat be Rs. x. So, the amount of cash with B = x.

So total assets of B = 2x

Total assets of As D has got assets worth 20 lakhs more than that of B

Case II:

B and D have one flat each.

Let value of a flat be Rs. x. So, amount of cash with B = x

⇒ Total assets of B = 2x

Total assets of

As D has got assets worth 20 lakhs more than B

Here the value of x is coming as negative. So this case is not possible.

We can collate the final distribution of assets in the following table:

As the above table maximum possible value of the assets of all the brothers taken together is:

= Maximum possible value of assets of all the brothers taken together

= 110 + 80 + 70 + 100 + 150.

= 510 lakhs = Rs. 5.1 crore.

IPMAT Mock Test - 8 (New Pattern) - Question 23

Bag A contains 6 white balls and 4 black balls and bag B contains 3 white balls and 2 black balls. A white ball is picked from bag A and put into bag B. Then, three balls are picked from bag B and put into bag A. Find the probability that a ball picked now from bag A is black.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 23 The following cases are possible.

I. Three white balls are transferred from bag B to bag A.

Required probability

II. Two white balls and one black ball is transferred from bag B to bag A.

Required probability

III. One white ball and 2 black balls are transferred from bag B to bag A.

Required probability

Required probability that the ball now picked from bag A is black

IPMAT Mock Test - 8 (New Pattern) - Question 24

Find the area of bounded regions generated by the curves |x| = 3, y = |x| and y = -|x|.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 24 Given curves can be drawn as

The closed area generated by the three curves is the sum of the areas of the triangles OAB and OCD.

IPMAT Mock Test - 8 (New Pattern) - Question 25

Three numbers first are twice the second and second is twice the third. The average of the three numbers is 21. Find the largest number of the three.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 25 Let,

IIIrd number = x

IInd number = 2x

Ist number = 4x

The average of the three numbers is 21.

(x + 2x + 4x)/3 = 21.

7x = 63.

x = 9

Largest number = 4x.

= 4 × 9 = 36.

IPMAT Mock Test - 8 (New Pattern) - Question 26

Pawan was designing a Mock test. He had 8 questions for this Mock test and he had to assign a total of 30 marks to the 8 questions in this Mock test. If the minimum marks assigned to a question is 2 and each question carries integral marks, then how many ways are possible for Pawan to distribute 30 marks in this Mock test?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 26 Any question can have a maximum of 16 marks

= q1 + q2 + q3 +……… q8 = 30

where range of marks for any question, say qi

2 ≤ qi ≤ 16

or 0 ≤ q1 − 2 ≤ 14

or 0 ≤ M1 ≤ 14 (where ,qi − 2 = Mi)

⇒ M1 + M2 + M3 +…… M8 = 14

∴ Number of non-negative integral solution for (i)

= 14 + 8 − 1C8−1 = 21C7

Hence the correct option is A.

IPMAT Mock Test - 8 (New Pattern) - Question 27

Let M be a three-digit number denoted by ‘ABC’ where A. B and C are numerals from 0 to 9. Let N be a number formed by reversing the digits of M. It is known that M - N + 396C is equal to 990. How many possible values of M are there which are greater than 300?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 27 99A – 99C + 396C = 990

99A + 297C = 990

A + 3C = 10

C = 1, 2, 3 and A = 7, 4, 1.

For each value of A and C, B can take 10 values. Also, A has to be greater than or equal to 3. So, 4B2 and 7B1 will be the numbers. B can take any value from 0 to 9. So, 20 values in total.

IPMAT Mock Test - 8 (New Pattern) - Question 28

A manufacturing company conducted workshops on three techniques namely designing, formatting and testing for its executives. The number of executives who attended the workshop on designing is twice and thrice of the number of executives who attended the workshops on formatting and testing respectively. 42 executives attended the workshop on formatting. The aggregate number of executives who attended the workshops on exactly two techniques is at most 25% of the aggregate number of executives who attended the workshops on exactly one technique. Workshops on any combination of exactly two techniques were attended by more than 1 executive.

If the maximum possible executives attended the workshop on all three techniques, then find the maximum possible number of executives who attended the workshop on both designing and formatting but not testing.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 28 Maximum possible number of executives who attended the training sessions on all the three techniques.

= 28 - (x3 + xs + x6)

= 28 - (0 + 2 + 2) = 24.

Now,

A + 2B = 154

⇒ A + 2B = 154 - 72 = 82.

Since the maximum value of B can be 0.25A, therefore the maximum possible value of B can be 13.

Therefore the maximum possible number of executives who attended the workshop on designing and formatting.

= 13 - (2 + 2) = 9.

IPMAT Mock Test - 8 (New Pattern) - Question 29

25x2 + y2 = 34 and xy = 3, then value of (125x3 + y3) is:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 29 Given: 25x2 + y2 = 34

We know that,

(x3 + y3) = (x + y) (x2 + y2 − xy)

(x + y)2 = x2 + y2 + 2xy

Now,

25x2 + y2 = 34

⇒ 25x2 + y2 + 10xy = 34 + 10xy

⇒ 25x2 + y2 + 10xy = 34 + 30

⇒ (5x + y)2 = 64

⇒ (5x + y) = 8

So,

(125x3 + y3)

= (5x + y)(25x2 + y2 − 5xy)

= (8)(34 − 15)

= 8 × 19

= 152

∴ The value of (125x3 + y3) is 152.

Hence, the correct option is (A).

IPMAT Mock Test - 8 (New Pattern) - Question 30

A natural number is randomly selected from 100 to 360. Find the probability that it is divisible by exactly two of the three numbers 4, 6 and 8.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 30 Total number of numbers = 360 − 100 + 1 = 261

LCM of 4,6 and 8 is equal to 24

Here, we will take 3 cases.

Case 1: Numbers divisible by 4 and 6 but not 8.

Case 2: Numbers divisible by 6 and 8 but not 4.

Case 3: Numbers divisible by 8 and 4 but not 6.

Case 1: Numbers of the form 12, (12 + 24),(12 + 2 × 24),…

From 100 to 360, the numbers are from (12 + 4 × 24) to (12 + 14 × 24) = (14 − 4 + 1) numbers = 11 numbers.

case 2:

Numbers divisible by 8 have to be divisible by 4

Hence, no number exists in this case.

case 3:

Numbers of the form 8, (8 + 24), (8 + 2 × 24),… and

16, (16 + 24), (16 + 2 × 24),…

From 100 to 360 , the numbers are from (8 + 4 × 24) to (8 + 14 × 24) and (16 + 4 × 24) to (16 + 14 × 24)

= (14 − 4 + 1) + (14 − 4 + 1) = 22

Required probability

Alternative Method:

LCM of 4,6 and 8 is equal to 24

Number of natural numbers that are divisible by 24

Number of natural numbers that are divisible by 8

= (45 − 12 − 11) = 22

Number of natural numbers that are divisible by 4

= (30 − 8 − 11) = 11

Required probability

Hence the correct option is A.

IPMAT Mock Test - 8 (New Pattern) - Question 31

A trader used to make 5% profit on an item selling at the usual marked price. One day, he trebled the marked price of the item and finally offered a discount of 30%. Find the percentage of profit he made on the item that day.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 31 Let the earlier cost price of the item = Rs.100

Earlier marked price = Rs.105.

On that day, 30% discount is offered on Rs. 3X105 = Rs.315 Thus, new selling price = Rs.220.50.

New Profit percentage = 120.50%.

IPMAT Mock Test - 8 (New Pattern) - Question 32

There are 10 pairs of shoes in a cupboard, from which 4 shoes are picked at random. The probability that there is at least one pair, is 11k/323. Find the value of k

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 32 The total number of ways of choosing 4 shoes(in order) out of 10 pairs( so 20 shoes) is 20 × 19 × 18 × 17

The number of ways in which no pair is selected is 20 × 18 × 16 × 14

Thus the probability of not getting a pair is

Hence the probability of getting at least one pair is

Therefore k = 9

IPMAT Mock Test - 8 (New Pattern) - Question 33

Directions: Read the following graph carefully and answer the question given below.

The bar chart given below shows the import of soya bean (in quintals) for the year 2011 to 2016.

In how many years the import of Soya bean is more than the average import of Soya bean for the given years?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 33 Average import (in quintals) of Soya

So in the years 2013 and 2016 import was more than average import in the given years.

Hence the correct option is D.

IPMAT Mock Test - 8 (New Pattern) - Question 34

Directions: Read the following graph carefully and answer the question given below.

The bar graph given below shows the per acre yield (in kg) of different countries. Study the graph carefully and answer the questions

Bangladesh's yield (approximately) is what percent of total yield of all the countries?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 34 Total yield of all the countries = 200 + 160 + 132 + 120 + 120 + 80 = 812kg

Let Bangladesh's yield is x% of total yield of all the countries.

IPMAT Mock Test - 8 (New Pattern) - Question 35

If 8 liters of pure milk is mixed with 40 liters of a mixture in which milk and water are in the ratio of 1: 4, find the ratio of the final composition of the mixture.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 35 The ratio of milk to water in the initial mixture = 1: 4

Quantity of milk in the initial mixture = 1 ÷ 1 + 4 × 40 = 8 litres

Quantity of water in the initial mixture = 40 - 8 = 32 litres

Total Quantity of milk in the final mixture = 8 + 8 = 16 litres

Ratio of final composition of the mixture = 16 : 32 = 1 : 2

IPMAT Mock Test - 8 (New Pattern) - Question 36

In a mixture of 100L, the ratio of acid to water is 12 : 13. Another 4 L of the water is added to the mixture. The ratio of acid to water in the new mixture is-

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 36

Acid : water = 12x : 13x

Total mixture = 100 L

12x + 13x = 100

x = 4

Acid = 12x = 48 L

Water = 13x = 52 L

New mixture = water = 52 + 4 = 56

Ratio of acid to water = 48 : 56 = 6 : 7

Hence the correct option is C.

IPMAT Mock Test - 8 (New Pattern) - Question 37

A cubic meter of copper weighing 9000 kilograms is rolled into a square bar 9 meters long. An exact cube is cut off from the bar. How much does it weigh?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 37 As volume of copper is rolled in a square bar basically a cuboid with square base of given length.

Then an exact cube is cut off from this square bar. Clearly, the exact cube should have the same dimension as that of the square base of square bar.

Given volume =Area of square base × length = 1cu

Area of square base × length =1cu

Volume of cut-off cube = (side of square base)3= (1/3)3

weight of cube

Hence the correct option is A.

IPMAT Mock Test - 8 (New Pattern) - Question 38

Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recast into a solid sphere. What will be the percentage decrease in the surface area?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 38 Volume of larger sphere

Surface area of small spheres = 4π(32 + 42 + 52) = 4π(9 + 16 + 25) = 200π.

Surface area of larger spheres = 4πR2 = 4π × 62 = 144π.

The percentage decrease in the surface area

IPMAT Mock Test - 8 (New Pattern) - Question 39

A boat moves downstream at the rate of 2 km in 12 minutes and upstream at the rate of 1 km in 10 minutes. Find the time taken by boat to covers 3 km in still water.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 39 Downstream speed = 2 ÷ 12 × 60 = 10 km/hrs

Upstream speed = 1 ÷ 10 × 60 = 6 km/hrs

Speed of boat in still water 10 + 6 ÷ 2 = 8 km/hrs

Required times= 3 ÷ 8 × 60 = 22.5 minutes

IPMAT Mock Test - 8 (New Pattern) - Question 40

A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 84 km downstream.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 40 Speed downstream = (15 + 6) km/hr = 21 km/hr.

Time taken to travel 84 km downstream = (84 ÷ 21) = 4 hrs.

Hence the correct option is B.

IPMAT Mock Test - 8 (New Pattern) - Question 41

Direction: In the questions given below a part of the sentence is given in Underline. It is then followed by three options. Find the alternative that can replace the given Underline part to make the sentence grammatically and contextually correct.

We have seen that the monsoon has reasonably caught up, which should give a boast to agriculture and lead to the revival to some extent of consumption in rural India.

I. Boost

II. Give a boost to

III. Gave a boost on

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 41 Here the context is that due to good monsoon, it is expected that the consumption will be boosted in the rural areas. This is going to be a good sign for the Indian economy. Both I and II will be correct in this context if placed instead of the Underline phrase in the given sentence.

We have seen that the monsoon has reasonably caught up, which should boost / give a boost to agriculture and lead to the revival to some extent of consumption in rural India.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 42

Direction: In the questions given below a part of the sentence is given in Underline. It is then followed by three options. Find the alternative that can replace the given Underline part to make the sentence grammatically and contextually correct.

He passed on very soon after that and his sons took over the entire business.

I. He passed off very soon

II. He passed away very soon

III. He passed about very soon

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 42 According to the context of the sentence it is regarding the fact that he died and after that his sons inherited the entire business. The correct phrasal verb used for that purpose is pass away. Therefore it should have been he passed away very soon.

He passed away very soon after that and his sons took over the entire business.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 43

Select the most appropriate option to fill in the blank.

Bengaluru is a beautiful city which ______ the modern with the traditional.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 43 Bengaluru is a beautiful city which blends the modern with the traditional.

In the above-given sentence, 'Blends' will be used.

It is so because 'Blends' is a verb meaning 'to form a harmonious combination'. For Example: Costumes, music, and lighting all blend together beautifully.

The sentence talks about the harmonious combination of modern and traditional culture/concepts in the city of Bangalore.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 44

Direction: Read the passage carefully and answer the questions that follow.

The most striking feature of Prime Minister Narendra Modi’s address to the nation on the decision to scrap Articles 370 and 35A was its temporal focus: the future. This served to both fill the narrative with hope and skirt the messy political discord preceding and accompanying the decision to remove Jammu and Kashmir’s special status.

He also held out the promise that J&K would make the transition from Union territory to full statehood, without setting a deadline for that change. He also made it clear that Ladakh’s separation from what once was a kingdom of disparate regions would be permanent.

The speech carries forward the project of integrating the troubled state into the Indian mainstream by laying out before them an array of opportunities for building a new future for themselves and for the country as a whole.

The prime minister held out carrots aplenty, juicy ones. Better salaries and service conditions for civil servants and J&K policemen, an immediate flurry of jobs as the government moved to fill all vacancies, new scholarships and educational opportunities, new rights as full-fledged citizens of India and new jobs that Indian enterprises, State-owned and private, would create.

If a leader holds out a carrot, a stick cannot but be part of the package. But if the prime minister wielded one, it was not on display. He did refer to separatism and terror, but implicitly treated them as nothing more than bumps along the road to normalisation and return to statehood.

The detailed list of benefits and legal entitlements that the people of Jammu and Kashmir now stand to gain, governed as they would be by the Constitution and legal system of India, is likely to have the desired impact of shifting the spotlight on the benefits of the political change, from the costs that have been most obvious.

The prime minister did well to announce relaxation, as early as next Monday, when Eid would be celebrated, on the lockdown in place in the state. His call to the rest of India to join in rebuilding the state should rein in lumping temptation to target Kashmiris outside Kashmir.

Q. Which of the following statements is the author most likely to agree with?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 44 If a leader holds out a carrot, a stick cannot but be part of the package. But if the prime minister wielded one, it was not on display. He did refer to separatism and terror, but implicitly treated them as nothing more than bumps along the road to normalisation and return to statehood.

The author believes that the Prime Minister was using a carrot and stick policy but was not showing the stick directly. He just brushed over the threats that were looming by mentioning them briefly. Out of the given options only option C can be a valid point which can be inferred from the passage.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 45

Direction: Read the passage carefully and answer the questions that follow.

The most striking feature of Prime Minister Narendra Modi’s address to the nation on the decision to scrap Articles 370 and 35A was its temporal focus: the future. This served to both fill the narrative with hope and skirt the messy political discord preceding and accompanying the decision to remove Jammu and Kashmir’s special status.

He also held out the promise that J&K would make the transition from Union territory to full statehood, without setting a deadline for that change. He also made it clear that Ladakh’s separation from what once was a kingdom of disparate regions would be permanent.

The speech carries forward the project of integrating the troubled state into the Indian mainstream by laying out before them an array of opportunities for building a new future for themselves and for the country as a whole.

The prime minister held out carrots aplenty, juicy ones. Better salaries and service conditions for civil servants and J&K policemen, an immediate flurry of jobs as the government moved to fill all vacancies, new scholarships and educational opportunities, new rights as full-fledged citizens of India and new jobs that Indian enterprises, State-owned and private, would create.

If a leader holds out a carrot, a stick cannot but be part of the package. But if the prime minister wielded one, it was not on display. He did refer to separatism and terror, but implicitly treated them as nothing more than bumps along the road to normalisation and return to statehood.

The detailed list of benefits and legal entitlements that the people of Jammu and Kashmir now stand to gain, governed as they would be by the Constitution and legal system of India, is likely to have the desired impact of shifting the spotlight on the benefits of the political change, from the costs that have been most obvious.

The prime minister did well to announce relaxation, as early as next Monday, when Eid would be celebrated, on the lockdown in place in the state. His call to the rest of India to join in rebuilding the state should rein in lumping temptation to target Kashmiris outside Kashmir.

Q. Which of the following is/are not incentive(s) referred to in the passage?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 45 The prime minister held out carrots aplenty, juicy ones. Better salaries and service conditions for civil servants and J&K policemen, an immediate flurry of jobs as the government moved to fill all vacancies, new scholarships and educational opportunities, new rights as full-fledged citizens of India and new jobs that Indian enterprises, State-owned and private, would create.

The highlighted part shows that apart from maternity leave, all other benefits have been mentioned in the passage.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 46

Direction: Given below are six statements A, B, C, D, E, and F, which when arranged in the correct order, form a coherent and meaningful paragraph. The sentence marked D is fixed and would fit in the fourth position. Rearrange the other statements in a proper sequence to form a meaningful paragraph, then answer the questions that follow.

A) While an inquiry is being conducted, it is suspected that the deaths may have occurred due to infighting and disease according to reports.

B) If we don’t check our misuse of natural resources more and more such appalling news will keep surfacing from time to time.

C) Earlier this week, Gujarat’s treasured wildlife reserve suffered a shocking jolt in the form of mass lion deaths.

D) While some have presumably died in infights, others, including three lion cubs, are suspected to have contracted a fatal illness.

E) Infighting in the wild mostly occurs when natural resources are scarce and animals encroach upon each other's territory for basic necessities.

F) 11 lion carcasses were reportedly found in the East division of Gir forest and the deaths have presumably taken place within 10 days as stated by east Gir’s Deputy Conservator of Forest, P Purushothama.

Which of the following will be the third statement after rearrangement?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 46 The paragraph is talking about the decrease in the number of lions in the Gir Forest.

E could also work as an introduction. But, E introduces the topic of 'infighting in the wild' which doesn’t match with other sentences in the paragraph.

Now, for the next sentence, we need elaboration on the topic introduced in C. F does this perfectly as it gives statistics about the death of lions. Now, an event took place, so we would have consequences. An immediate consequence of the events is that an inquiry was made, as described in A.

So, A comes next. So far, our sequence is CFA. The next is D as it is fixed. The remaining two sentences are B & E. E should come after D as both have a common topic of 'infighting'. This leaves for the last.

So, the sequence becomes CFADEB.

Thus, the third statement after rearrangement is A.

Hence, the correct answer is A.

IPMAT Mock Test - 8 (New Pattern) - Question 47

Direction: Given below are six statements A, B, C, D, E, and F, which when arranged in the correct order, form a coherent and meaningful paragraph. The sentence marked D is fixed and would fit in the fourth position. Rearrange the other statements in a proper sequence to form a meaningful paragraph, then answer the questions that follow.

A) While an inquiry is being conducted, it is suspected that the deaths may have occurred due to infighting and disease according to reports.

B) If we don’t check our misuse of natural resources more and more such appalling news will keep surfacing from time to time.

C) Earlier this week, Gujarat’s treasured wildlife reserve suffered a shocking jolt in the form of mass lion deaths.

D) While some have presumably died in infights, others, including three lion cubs, are suspected to have contracted a fatal illness.

E) Infighting in the wild mostly occurs when natural resources are scarce and animals encroach upon each other's territory for basic necessities.

F) 11 lion carcasses were reportedly found in the East division of Gir forest and the deaths have presumably taken place within 10 days as stated by east Gir’s Deputy Conservator of Forest, P Purushothama.

Which of the following will be the second statement after rearrangement?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 47 The paragraph is talking about the decrease in the number of lions in the Gir Forest.

E could also work as an introduction. But, E introduces the topic of 'infighting in the wild' which doesn’t match with other sentences in the paragraph.

Now, for the next sentence, we need elaboration on the topic introduced in C. F does this perfectly as it gives statistics about the death of lions. Now, an event took place, so we would have consequences. An immediate consequence of the events is that an inquiry was made, as described in A.

So, A comes next. So far, our sequence is CFA. The next is D as it is fixed. The remaining two sentences are B & E. E should come after D as both have a common topic of 'infighting'. This leaves for the last.

So, the sequence becomes CFADEB.

Thus, the second statement after rearrangement is F.

Hence, the correct answer is F.

IPMAT Mock Test - 8 (New Pattern) - Question 48

Direction: The question is split into parts (a), (b), (c) and (d), Here some parts of the sentences have errors and remainings are correct. Find out which part of a sentence has an error. If a sentence is free from error, your answer is No error.

The importance of trade in Mughal times reinforced (a)/ the cultural definition of wealth as something (b)/ comprising of movable property. (c)/ No error (d)

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 48 Correct sentence: The importance of trade in Mughal times reinforced the cultural definition of wealth as something comprised of movable property.
• The error lies in Part (c) of the sentence.

• The given sentence is not making complete sense.

• A preposition 'of' is used after the verb 'comprised.'

• Therefore, the use of 'comprising' in Part (c) of the sentence should be replaced with 'comprised' to make it grammatically correct.​

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 49

Direction: The question is split into parts (a), (b), (c) and (d), Here some parts of the sentences have errors and remainings are correct. Find out which part of a sentence has an error. If a sentence is free from error, your answer is No error.

He refused to change (a)/ his decision; (b)/ he refused it point out (c). (d) No error.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 49 Correct sentence: He refused to change his decision; he refused to point it out.
• The error lies in Part (c) of the sentence.

• The given sentence is not making complete sense.

• A preposition 'to' should be used before the phrasal verb 'point out' in this context.

• Therefore, the use of 'it' in Part (c) of the sentence should be replaced with 'to' to make it grammatically correct.​

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 50

Select the most appropriate option to fill in the blank.

Moviemakers generally ______ historical facts to write their stories.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 50 Moviemakers generally adapt historical facts to write their stories.

According to the given sentence, moviemakers adapt historical facts to write stories.

The word 'adapt' means alter (a text) to make it suitable for filming, broadcasting, or the stage.

Example: He needed to adapt his strategies when dealing with her.

​​So, according to the context of the sentence, 'adapt' fits appropriately in the given blank.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 51

Direction: In the following sentence, four words/phrases have been underlined. Choose the word/phrase that is not appropriate according to the standard written English and mark the answer accordingly.

(1) Next week we will /(2) study more about /(3) universe and /(4) our solar system.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 51 We use the definite article 'the' before unique things. i.e. The Universe.

Correct sentence: Next week we will study more about the universe and our solar system.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 52

Direction: In the following question, a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer options given, to make the passage complete and coherent (coherent means logically complete and sound).

The first step in analyzing the problem of poverty is to be able to define it conceptually. The minimum standard of living is one criterion used to define the poverty line.__________. One identifies a consumption basket that may be regarded as essential for an individual for sustenance. Then one finds the set of corresponding prices, which can be used to convert this basket to value terms. The minimum standard of living thus obtained may be regarded as the poverty line. An individual with consumption below this defined poverty line is regarded as poor.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 52 The first step in analyzing the problem of poverty is to be able to define it conceptually. The minimum standard of living is one criterion used to define the poverty line. This minimum standard includes both food and non-food components. One identifies a consumption basket that may be regarded as essential for an individual for sustenance. Then one finds the set of corresponding prices, which can be used to convert this basket to value terms. The minimum standard of living thus obtained may be regarded as the poverty line. An individual with consumption below this defined poverty line is regarded as poor.

The paragraph defines the concept and the meaning of poverty. Only option (B) talks about the minimum standard which is mentioned in the prior option. It acts as the continuing statement to the prior sentence.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 53

Direction: One part of the sentence followed by four alternatives is given. Complete the sentences by choosing the correct alternative.

She married him:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 53 She married him because of his nature​​.
• The sentence given in the question tells us about the instance of a girl marrying a boy.

• The given sentence is in the past simple tense.

• The subsequent sentence needs to be an explanation of the above-mentioned instance.

• In the given scenario, the option (A) and (D) are rejected as these sentences don't start with the required conjunction.

• The statement given in the option (B) is rejected as it doesn't contain the required preposition 'of' after the conjunction 'because'.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 54

Direction: One part of the sentence followed by four alternatives is given. Complete the sentences by choosing the correct alternative.

I could not sleep:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 54 I could not sleep despite being very tired.
• The sentence given in the question tells us about the instance of the subject not being able to sleep.

• The given sentence is in the past simple tense.

• The subsequent sentence needs to offer a conclusion or further explanation on why the subject couldn't sleep.

• In the given scenario, the option (C) is rejected as this sentence doesn't add up with the one given in the question.

• The statement given in the option (A) is rejected as it doesn't contain the required preposition 'of' after the conjunction 'because'.

• As per the statements given in the options (B) and (D), the subject couldn't sleep even though he was tired.

• Thus we need a sentence that starts with the conjunction that represents a contrasting statement.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 55

Direction: One part of the sentence followed by four alternatives is given. Complete the sentences by choosing the correct alternative.

Although the group has been acquitted:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 55 Although the group has been acquitted they are under the watch of the police​.

• A conjunction is a word which is used to connect clauses or sentences or to coordinate words in the same clause.

When the though/although clause comes before the main clause, we usually put a comma at the end of the clause.

For Example:

• Even though I earn a lot of money every month, I never seem to have any to spare.

• The sentence given in the question tells us about a group being set free from a criminal charge but with a condition.

• The given sentence is in the present perfect tense.

• In the given scenario, the options (B) and (C) are rejected as these sentences don't offer any proper precondition.

• The statement given in the option (D) is in contrast with the one given in the question and doesn't make any sense.

Hence, the correct option is (A).

IPMAT Mock Test - 8 (New Pattern) - Question 56

Select the most appropriate option to fill in the blank.

The pleasant ______ of the rain as it fell on the dust made me feel nostalgic.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 56 The pleasant aroma of the rain as it fell on the dust made me feel nostalgic.

According to the given sentence, the pleasant smell of the rain made the speaker nostalgic.

The word 'aroma' means 'a smell, especially a pleasant one'. Example: The aroma of cologne surrounded him and his breath smelled like he had recently brushed his teeth.

So, according to the context of the sentence, 'aroma' fits appropriately in the given blank.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 57

Direction: Read the passage carefully and select the best answer to each question out of the given five alternatives.

RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic, the central bank said in a statement on Tuesday. Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday. Das chaired the meeting. Das led the discussions on progress made under the SAARCFINANCE initiatives, achieved with the all-round cooperation of the SAARC central banks and launched the maiden issue of the annual SAARCFINANCE e-Newsletter. While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said. The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka. With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority and assured him of the Reserve Bank's continued commitment to the SAARCFINANCE initiative. SAARCFINANCE is a network of central bank governors and finance secretaries of the SAARC region. The Reserve Bank of India is the present chair of the SAARCFINANCE from October 2019 to March 2021.

While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers, especially in the areas of big data, digital currencies, reg-tech, sup-tech and cyber security. The keynote address was delivered by Jermy Prenio, Senior Adviser, Financial Stability Institute, BIS on the topic 'Suptech use in central banks'. The Symposium also included a Panel Discussion on 'Cyber Security in Central Banks' and a presentation by the researchers of the SAARCFINANCE Collaborative Study on 'Comparison of Financial Sector Regulatory Regimes in the SAARC Region', the RBI's release added.

Who is the governor of Nepal Rastra Bank?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 57 The following lines are mentioned in the passage

"The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka."

Therefore, the governor of Nepal Rastra Bank is Maha Prasad Adhikari.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 58

Read the passage carefully and select the best answer to each question out of the given five alternatives.

RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic, the central bank said in a statement on Tuesday. Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday. Das chaired the meeting. Das led the discussions on progress made under the SAARCFINANCE initiatives, achieved with the all-round cooperation of the SAARC central banks and launched the maiden issue of the annual SAARCFINANCE e-Newsletter. While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said. The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka. With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority and assured him of the Reserve Bank's continued commitment to the SAARCFINANCE initiative. SAARCFINANCE is a network of central bank governors and finance secretaries of the SAARC region. The Reserve Bank of India is the present chair of the SAARCFINANCE from October 2019 to March 2021.

While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers, especially in the areas of big data, digital currencies, reg-tech, sup-tech and cyber security. The keynote address was delivered by Jermy Prenio, Senior Adviser, Financial Stability Institute, BIS on the topic 'Suptech use in central banks'. The Symposium also included a Panel Discussion on 'Cyber Security in Central Banks' and a presentation by the researchers of the SAARCFINANCE Collaborative Study on 'Comparison of Financial Sector Regulatory Regimes in the SAARC Region', the RBI's release added.

Q. Why did the RBI Governor praise the SAARC central banks?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 58 The following lines are mentioned in the passage

"RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic".

It is clear that the governor of RBI praised the SAARC central banks for their efforts in combating the pandemic.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 59

Read the passage carefully and select the best answer to each question out of the given five alternatives.

RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic, the central bank said in a statement on Tuesday. Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday. Das chaired the meeting. Das led the discussions on progress made under the SAARCFINANCE initiatives, achieved with the all-round cooperation of the SAARC central banks and launched the maiden issue of the annual SAARCFINANCE e-Newsletter. While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said. The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka. With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority and assured him of the Reserve Bank's continued commitment to the SAARCFINANCE initiative. SAARCFINANCE is a network of central bank governors and finance secretaries of the SAARC region. The Reserve Bank of India is the present chair of the SAARCFINANCE from October 2019 to March 2021.

While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers, especially in the areas of big data, digital currencies, reg-tech, sup-tech and cyber security. The keynote address was delivered by Jermy Prenio, Senior Adviser, Financial Stability Institute, BIS on the topic 'Suptech use in central banks'. The Symposium also included a Panel Discussion on 'Cyber Security in Central Banks' and a presentation by the researchers of the SAARCFINANCE Collaborative Study on 'Comparison of Financial Sector Regulatory Regimes in the SAARC Region', the RBI's release added.

Q. Find the relation between the statements given below.

Statement I: Governor of RBI has emphasised the effective, efficient and well judged uses of technology in banking sector.

Statement II: The need of technological tools to accelerate the growth of banking sector during Covid19 outbreak, was recognized by the governors of the central banks.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 59 "While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said."

"While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers,"

After going through the above mentioned lines we can understand that the governors of the central banks have realized the importance of effective, creative and prudent use of technology and that is why the governor of RBI emphasised the importance of the uses of technology.

So, the second statement is the cause and the first statement is the effect.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 60

Read the passage carefully and select the best answer to each question out of the given five alternatives.

RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic, the central bank said in a statement on Tuesday. Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday. Das chaired the meeting. Das led the discussions on progress made under the SAARCFINANCE initiatives, achieved with the all-round cooperation of the SAARC central banks and launched the maiden issue of the annual SAARCFINANCE e-Newsletter. While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said. The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka. With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority and assured him of the Reserve Bank's continued commitment to the SAARCFINANCE initiative. SAARCFINANCE is a network of central bank governors and finance secretaries of the SAARC region. The Reserve Bank of India is the present chair of the SAARCFINANCE from October 2019 to March 2021.

While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers, especially in the areas of big data, digital currencies, reg-tech, sup-tech and cyber security. The keynote address was delivered by Jermy Prenio, Senior Adviser, Financial Stability Institute, BIS on the topic 'Suptech use in central banks'. The Symposium also included a Panel Discussion on 'Cyber Security in Central Banks' and a presentation by the researchers of the SAARCFINANCE Collaborative Study on 'Comparison of Financial Sector Regulatory Regimes in the SAARC Region', the RBI's release added.

Q. Which of the following is not a SAARC central bank?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 60 The following lines are mentioned in the passage

"The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka."

It is clear that the Bank of England is not a SAARC central bank.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 61

Direction: In the questions given below a part of the sentence is given in underline. It is then followed by three options. Find the alternative that can replace the given underline part to make the sentence grammatically and contextually correct.

Though the government is facing fiscal constraints to pump-prime the economy, the RBI may have headroom to cut rates to support growth.

I. to prime the economy

II. to priming the economy

III. to pumping the economy

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 61 The sentence is correct in the present form and no correction is required to be carried out in the sentence.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 62

Direction: In the questions given below a part of the sentence is given in underline. It is then followed by three options. Find the alternative that can replace the given underline part to make the sentence grammatically and contextually correct.

Each of the boys in the class were given the task but none of them could finish the same on time.

I. Being given the task

II. Was given the task

III. Been given the task

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 62 There is the error in the subject-verb agreement here because the subject here is in singular form whereas the corresponding verb has been used in the plural form i.e. were given. The subject ­each is singular and is followed by singular verbs only. Therefore it should have been was given.

Each of the boys in the class was given the task but none of them could finish the same on time.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 63

Direction: Read the passage carefully and answer the questions that follow.

The most striking feature of Prime Minister Narendra Modi’s address to the nation on the decision to scrap Articles 370 and 35A was its temporal focus: the future. This served to both fill the narrative with hope and skirt the messy political discord preceding and accompanying the decision to remove Jammu and Kashmir’s special status.

He also held out the promise that J&K would make the transition from Union territory to full statehood, without setting a deadline for that change. He also made it clear that Ladakh’s separation from what once was a kingdom of disparate regions would be permanent.

The speech carries forward the project of integrating the troubled state into the Indian mainstream by laying out before them an array of opportunities for building a new future for themselves and for the country as a whole.

The prime minister held out carrots aplenty, juicy ones. Better salaries and service conditions for civil servants and J&K policemen, an immediate flurry of jobs as the government moved to fill all vacancies, new scholarships and educational opportunities, new rights as full-fledged citizens of India and new jobs that Indian enterprises, State-owned and private, would create.

If a leader holds out a carrot, a stick cannot but be part of the package. But if the prime minister wielded one, it was not on display. He did refer to separatism and terror, but implicitly treated them as nothing more than bumps along the road to normalisation and return to statehood.

The detailed list of benefits and legal entitlements that the people of Jammu and Kashmir now stand to gain, governed as they would be by the Constitution and legal system of India, is likely to have the desired impact of shifting the spotlight on the benefits of the political change, from the costs that have been most obvious.

The prime minister did well to announce relaxation, as early as next Monday, when Eid would be celebrated, on the lockdown in place in the state. His call to the rest of India to join in rebuilding the state should rein in lumping temptation to target Kashmiris outside Kashmir.

Q. As per the passage, what was the effect of the most striking feature of the Prime Minister’s address to the nation regarding the decision to scrap Articles 370 and 35A?

I. Help in having a debate regarding the pros and cons of scrapping the aforementioned articles

II. Help in avoiding the dissonance that was caused due to the scrapping of the said articles

III. Help in painting a picture of hope for the future.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 63 The most striking feature of Prime Minister Narendra Modi’s address to the nation on the decision to scrap Articles 370 and 35A was its temporal focus: the future. This served to both fill the narrative with hope and skirt the messy political discord preceding and accompanying the decision to remove Jammu and Kashmir’s special status.

The highlighted portion validates the information given in statements II and III . Thus, statements II and III are correct. However, the address did nothing to encourage further debate regarding the pros and cons of scrapping the articles once the decision had been made.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 64

Direction: Read the passage carefully and answer the questions that follow.

The most striking feature of Prime Minister Narendra Modi’s address to the nation on the decision to scrap Articles 370 and 35A was its temporal focus: the future. This served to both fill the narrative with hope and skirt the messy political discord preceding and accompanying the decision to remove Jammu and Kashmir’s special status.

He also held out the promise that J&K would make the transition from Union territory to full statehood, without setting a deadline for that change. He also made it clear that Ladakh’s separation from what once was a kingdom of disparate regions would be permanent.

The speech carries forward the project of integrating the troubled state into the Indian mainstream by laying out before them an array of opportunities for building a new future for themselves and for the country as a whole.

The prime minister held out carrots aplenty, juicy ones. Better salaries and service conditions for civil servants and J&K policemen, an immediate flurry of jobs as the government moved to fill all vacancies, new scholarships and educational opportunities, new rights as full-fledged citizens of India and new jobs that Indian enterprises, State-owned and private, would create.

If a leader holds out a carrot, a stick cannot but be part of the package. But if the prime minister wielded one, it was not on display. He did refer to separatism and terror, but implicitly treated them as nothing more than bumps along the road to normalisation and return to statehood.

The detailed list of benefits and legal entitlements that the people of Jammu and Kashmir now stand to gain, governed as they would be by the Constitution and legal system of India, is likely to have the desired impact of shifting the spotlight on the benefits of the political change, from the costs that have been most obvious.

The prime minister did well to announce relaxation, as early as next Monday, when Eid would be celebrated, on the lockdown in place in the state. His call to the rest of India to join in rebuilding the state should rein in lumping temptation to target Kashmiris outside Kashmir.

Q. “If a leader holds out a carrot, a stick cannot but be part of the package” What is a carrot and stick policy?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 64 Meaning: A motivational tactic that uses a reward and punishment system to encourage improved performance or behaviour.

Example: Management dangled the carrot of a possible raise before strikers, but at the same time waved the stick of losing their pension benefits.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 65

Direction: Read the passage carefully and answer the questions that follow.

The most striking feature of Prime Minister Narendra Modi’s address to the nation on the decision to scrap Articles 370 and 35A was its temporal focus: the future. This served to both fill the narrative with hope and skirt the messy political discord preceding and accompanying the decision to remove Jammu and Kashmir’s special status.

He also held out the promise that J&K would make the transition from Union territory to full statehood, without setting a deadline for that change. He also made it clear that Ladakh’s separation from what once was a kingdom of disparate regions would be permanent.

The speech carries forward the project of integrating the troubled state into the Indian mainstream by laying out before them an array of opportunities for building a new future for themselves and for the country as a whole.

The prime minister held out carrots aplenty, juicy ones. Better salaries and service conditions for civil servants and J&K policemen, an immediate flurry of jobs as the government moved to fill all vacancies, new scholarships and educational opportunities, new rights as full-fledged citizens of India and new jobs that Indian enterprises, State-owned and private, would create.

If a leader holds out a carrot, a stick cannot but be part of the package. But if the prime minister wielded one, it was not on display. He did refer to separatism and terror, but implicitly treated them as nothing more than bumps along the road to normalisation and return to statehood.

The detailed list of benefits and legal entitlements that the people of Jammu and Kashmir now stand to gain, governed as they would be by the Constitution and legal system of India, is likely to have the desired impact of shifting the spotlight on the benefits of the political change, from the costs that have been most obvious.

The prime minister did well to announce relaxation, as early as next Monday, when Eid would be celebrated, on the lockdown in place in the state. His call to the rest of India to join in rebuilding the state should rein in lumping temptation to target Kashmiris outside Kashmir.

Q. Which of the following can be inferred from the passage?

I. Benefits given to the J&K residents have stolen the limelight from the cost.

II. India is no longer under any threat from Pakistani terrorists.

III. There was a lockdown in Jammu and Kashmir.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 65 I : Benefits given to the J&K residents have stolen the limelight from the cost.

III : There was a lockdown in Jammu and Kashmir.

The prime minister did well to announce relaxation, as early as next Monday, when Eid would be celebrated, on the lockdown in place in the state.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 66

Direction: Given below are six statements A, B, C, D, E, and F, which when arranged in the correct order, form a coherent and meaningful paragraph. The sentence marked D is fixed and would fit in the fourth position. Rearrange the other statements in a proper sequence to form a meaningful paragraph, then answer the questions that follow.

A) While an inquiry is being conducted, it is suspected that the deaths may have occurred due to infighting and disease according to reports.

B) If we don’t check our misuse of natural resources more and more such appalling news will keep surfacing from time to time.

C) Earlier this week, Gujarat’s treasured wildlife reserve suffered a shocking jolt in the form of mass lion deaths.

D) While some have presumably died in infights, others, including three lion cubs, are suspected to have contracted a fatal illness.

E) Infighting in the wild mostly occurs when natural resources are scarce and animals encroach upon each other's territory for basic necessities.

F) 11 lion carcasses were reportedly found in the East division of Gir forest and the deaths have presumably taken place within 10 days as stated by east Gir’s Deputy Conservator of Forest, P Purushothama.

Which of the following will be the first statement after rearrangement?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 66 The paragraph is talking about the decrease in the number of lions in the Gir Forest.

E could also work as an introduction. But, E introduces the topic of 'infighting in the wild' which doesn’t match with other sentences in the paragraph.

Now, for the next sentence, we need elaboration on the topic introduced in C. F does this perfectly as it gives statistics about the death of lions. Now, an event took place, so we would have consequences. An immediate consequence of the events is that an inquiry was made, as described in A.

So, A comes next. So far, our sequence is CFA. The next is D as it is fixed. The remaining two sentences are B & E. E should come after D as both have a common topic of 'infighting'. This leaves for the last.

So, the sequence becomes CFADEB.

Thus, the first statement after rearrangement is C.

Hence, the correct answer is C.

IPMAT Mock Test - 8 (New Pattern) - Question 67

Direction: The question is split into parts (a), (b), (c) and (d), Here some parts of the sentences have errors and remainings are correct. Find out which part of a sentence has an error. If a sentence is free from error, your answer is No error.

You don't have a (a)/ monopoly on suffering; (b)/ other people don't have problems too. (c)/ No error (d)

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 67 Correct sentence: You don't have a monopoly on suffering; other people have problems too.

The error lies in Part (c) of the sentence.

The given sentence is not making complete sense.

Therefore, the use of 'Don't' in Part (c) of the sentence should be removed to make it grammatically correct.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 68

Direction: The question is split into parts (a), (b), (c) and (d), Here some parts of the sentences have errors and remainings are correct. Find out which part of a sentence has an error. If a sentence is free from error, your answer is No error.

If you say that someone (a)/ you admire has feet of clay (b)/ you mean that they have hidden faults. (c)/ No error.(d)

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 68 There is no error in the given sentences and it is providing a complete sense.

​Correct sentence: If you say that someone you admire has feet of clay you mean that they have hidden faults.

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 69

Direction: The question is split into parts (a), (b), (c) and (d), Here some parts of the sentences have errors and remainings are correct. Find out which part of a sentence has an error. If a sentence is free from error, your answer is No error.

In the nineteenth century, (a)/ most traditional scholars (b)/ tried to stay clear from the imperial Government. (c)/ No error (d)

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 69 ​Correct sentence: In the nineteenth century, most traditional scholars tried to stay clear of the imperial Government.

• The error lies in Part (c) of the sentence.

• The meaning of the phrase 'clear of' is away from (something dangerous, harmful, etc.).

• Example: We'll pick up speed once we get clear of the heavy traffic.

• Therefore, the use of 'from' in Part (c) of the sentence should be replaced with 'of' to make it grammatically correct.​

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 70

Select the most appropriate option to fill in the blank.

The nationalists followed a policy of non-violence to make their ______ successful.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 70 The correct answer is 'struggle'.

Struggle means a very difficult task. Example: My son is really struggling in math.

Encounter means a confrontation or unpleasant struggle. Example: The pilot told us that we might encounter turbulence during the flight.

Politics mean the activities associated with the governance of a country or area, especially the debate between parties having power. Example: Everything we understood about the world and politics changed.

Speeches (plural of 'speech') a formal talk that you give to a group of people. Example: Though not a great orator, his speeches were weighty and impressive.

The sentence talks about the task or the movement which is made successful by the policy of non-violence.

So, the most appropriate word is 'struggle'.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 71

Direction: In the following question, a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer options given, to make the passage complete and coherent (coherent means logically complete and sound).

One of South America’s mysteries is Easter Island. Easter Island, also called Rapa Nui and Isla de Pascua, 3600 km (2237 mi) west to Chile, is a volcanic island with an interesting and partly unknown history. The island was named by the Dutch explorer Jacob Roggeveen because he encountered it on Easter Sunday 1722. ____________

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 71 One of South America’s mysteries is Easter Island. Easter Island, also called Rapa Nui and Isla de Pascua, 3600 km ( 2237 mi) west to Chile, is a volcanic island with an interesting and partly unknown history. The island was named by the Dutch explorer Jacob Roggeveen because he encountered it on Easter Sunday 1722. The mysteries of the island are still unknown.

Option (A) is correct as it matches with the flow of the passage, it is only logical to end the para by not stating a misleading statement. It also keeps up with the tone and general subject of the passage.

Hence, the correct option is (A).

IPMAT Mock Test - 8 (New Pattern) - Question 72

Direction: In the following question, a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer options given, to make the passage complete and coherent (coherent means logically complete and sound).

FPI typically has a shorter time frame for investment return than FDI. As with any equity investment, FPI investors usually expect to quickly realize a profit on their investments. Unlike FDI, FPI doesn't offer control over the business entity in which the investment is made. Because securities are easily traded, the liquidity of FPIs ___________.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 72 FPI typically has a shorter time frame for investment return than FDI. As with any equity investment, FPI investors usually expect to quickly realize a profit on their investments. Unlike FDI, FPI doesn't offer control over the business entity in which the investment is made. Because securities are easily traded, the liquidity of FPIs makes them easier to sell than FDI.

The passage talks about FPI, a type of investment which usually involves lesser capital than FDI. FPIs have more liquidity as compared to FDIs and hence this means they are easier to sell than FDIs.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 73

Direction: One part of the sentence followed by four alternatives is given. Complete the sentences by choosing the correct alternative.

You can use my computer:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 73 You can use my computer as long as you do not use any external drive​.

Conditional sentences are statements discussing known factors or hypothetical situations and their consequences.

If two actions take place one after the other in the future, the structure will be as given below:

• If/(any conditional word) + Subject + V1 + Object, Subject + Will + V1 + Object.

For example:

• If George will be there, I will not go at any cost.

• If George is there, I will not go at any cost.

As the latter part (given in the options) of the sentence is conditional in nature, 'do not use' is the correct form of the verb to be used.

The desired structure is followed only in the option (C).

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 74

Direction: One part of the sentence followed by four alternatives is given. Complete the sentences by choosing the correct alternative.

Unless you fulfill the essential qualifications:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 74 Unless you fulfill the essential qualifications you will not be called for the interview​​.
• The sentence given in the question tells us about a condition where one has to possess essential qualifications.

• The subsequent sentence needs to offer a conclusion on what will take place next if one doesn't possess essential qualifications.

• In the given scenario, the next statement must include some unpleasant consequences like the applicant being rejected.

• The statements given in the option (A), (B) and (D) are rejected as it these statements don't demonstrate negative consequences.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 75

Direction: One part of the sentence followed by four alternatives is given. Complete the sentences by choosing the correct alternative.

I will come to meet you:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 75 I will come to meet you in case you want​​.
• The sentence given in the question tells us about the instance when the subject comes to meet someone.

• The given sentence is in the future simple tense.

• The next statement needs to offer some kind of explanation which results in the above-mentioned situation.

• In the given scenario, the option (D) is rejected as it offers a contrasting statement.

• The statements given in the option (B) and (C) is rejected as these statements offer incomplete explanations.

Hence, the correct option is (A).

IPMAT Mock Test - 8 (New Pattern) - Question 76

Select the most appropriate option to ﬁll in the blank.

Generally people use ______ oils for their cooking.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 76 Generally people use reﬁned oils for their cooking.

Refined oil is a kind of oil that has been purified.

'Cleared', 'improved' and 'washed' have meanings related to the word 'refined', but they are not appropriate in the given context.

Hence, the correct option is (B).

IPMAT Mock Test - 8 (New Pattern) - Question 77

Direction: Read the passage carefully and select the best answer to each question out of the given five alternatives.

RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic, the central bank said in a statement on Tuesday. Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday. Das chaired the meeting. Das led the discussions on progress made under the SAARCFINANCE initiatives, achieved with the all-round cooperation of the SAARC central banks and launched the maiden issue of the annual SAARCFINANCE e-Newsletter. While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said. The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka. With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority and assured him of the Reserve Bank's continued commitment to the SAARCFINANCE initiative. SAARCFINANCE is a network of central bank governors and finance secretaries of the SAARC region. The Reserve Bank of India is the present chair of the SAARCFINANCE from October 2019 to March 2021.

While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers, especially in the areas of big data, digital currencies, reg-tech, sup-tech and cyber security. The keynote address was delivered by Jermy Prenio, Senior Adviser, Financial Stability Institute, BIS on the topic 'Suptech use in central banks'. The Symposium also included a Panel Discussion on 'Cyber Security in Central Banks' and a presentation by the researchers of the SAARCFINANCE Collaborative Study on 'Comparison of Financial Sector Regulatory Regimes in the SAARC Region', the RBI's release added.

Q. Which of the following statements is false according to the passage?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 77 Option (A), (B) and (C) are true according to the given passage, only option (D) is a false statement. According to the passage, "RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation."

Hence, the correct option is (D).

IPMAT Mock Test - 8 (New Pattern) - Question 78

Direction: Read the passage carefully and select the best answer to each question out of the given five alternatives.

RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic, the central bank said in a statement on Tuesday. Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday. Das chaired the meeting. Das led the discussions on progress made under the SAARCFINANCE initiatives, achieved with the all-round cooperation of the SAARC central banks and launched the maiden issue of the annual SAARCFINANCE e-Newsletter. While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said. The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka. With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority and assured him of the Reserve Bank's continued commitment to the SAARCFINANCE initiative. SAARCFINANCE is a network of central bank governors and finance secretaries of the SAARC region. The Reserve Bank of India is the present chair of the SAARCFINANCE from October 2019 to March 2021.

While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers, especially in the areas of big data, digital currencies, reg-tech, sup-tech and cyber security. The keynote address was delivered by Jermy Prenio, Senior Adviser, Financial Stability Institute, BIS on the topic 'Suptech use in central banks'. The Symposium also included a Panel Discussion on 'Cyber Security in Central Banks' and a presentation by the researchers of the SAARCFINANCE Collaborative Study on 'Comparison of Financial Sector Regulatory Regimes in the SAARC Region', the RBI's release added.

Q. Governor Das handed over the SAARCFINANCE Chair to:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 78 The following lines are mentioned in the passage

"With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority".

The governor of Maldives Monetary Authority is Ali Hashim. So, Governor Das handed over the SAARCFINANCE Chair to Ali Hashim.

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 79

Direction: Read the passage carefully and select the best answer to each question out of the given five alternatives.

RBI Governor Shaktikanta Das expressed optimism about the overall COVID-19 situation following the rollout of the vaccines and complimented all the SAARC central banks for their efforts in combating the pandemic, the central bank said in a statement on Tuesday. Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday. Das chaired the meeting. Das led the discussions on progress made under the SAARCFINANCE initiatives, achieved with the all-round cooperation of the SAARC central banks and launched the maiden issue of the annual SAARCFINANCE e-Newsletter. While the Governors agreed that the pandemic had an adverse impact on their economies, they recognized the importance of leveraging technology to spur growth, the RBI said. The meeting was attended by the Governors from other SAARC central banks – Ajmal Ahmadi, Da Afghanistan Bank; Fazle Kabir, Bangladesh Bank; Dasho Penjore, Royal Monetary Authority of Bhutan; Ali Hashim, Maldives Monetary Authority; Maha Prasad Adhikari, Nepal Rastra Bank; Reza Baqir, State Bank of Pakistan; and W D Lakshman, Central Bank of Sri Lanka. With the RBI's tenure coming to a close, Governor Das handed over the SAARCFINANCE Chair (effective from April 01, 2021) to the Governor, Maldives Monetary Authority and assured him of the Reserve Bank's continued commitment to the SAARCFINANCE initiative. SAARCFINANCE is a network of central bank governors and finance secretaries of the SAARC region. The Reserve Bank of India is the present chair of the SAARCFINANCE from October 2019 to March 2021.

While inaugurating the SAARCFINANCE Governors' Symposium on Tuesday, Das emphasised the importance of effective, creative and prudent use of technology by central bankers, especially in the areas of big data, digital currencies, reg-tech, sup-tech and cyber security. The keynote address was delivered by Jermy Prenio, Senior Adviser, Financial Stability Institute, BIS on the topic 'Suptech use in central banks'. The Symposium also included a Panel Discussion on 'Cyber Security in Central Banks' and a presentation by the researchers of the SAARCFINANCE Collaborative Study on 'Comparison of Financial Sector Regulatory Regimes in the SAARC Region', the RBI's release added.

Q. The 41st Meeting of the SAARCFINANCE Governors' Group was arranged:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 79 The following lines are mentioned in the passage

"Das made these remarks in his opening speech at the 41st Meeting of the SAARCFINANCE Governors' Group in virtual format on Monday."

The 41st Meeting of the SAARCFINANCE Governors' Group was arranged virtually.

Hence, the correct option is (A).

IPMAT Mock Test - 8 (New Pattern) - Question 80

Direction: In the following question, the given sentence has four parts marked as P, Q, R, and S. Choose the part of the sentence with the error and mark it as your answer. If there is no error, mark 'S' as your answer.

Can you tell me (P)/ the name of the person (Q)/ whom wrote the book? (R)/ No error (S)

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 80 The error lies in the usage of 'whom' instead of 'who'.

In the given sentence, there is no subject for the verb 'wrote'.

'​Who' and 'whom' are relative pronouns. 'Whom' is the accusative (objective) form of 'who'.

'Whom' is used to refer to the object of a verb or preposition. 'Who' is used to refer to the subject of a sentence.

Correct sentence: Can you tell me the name of the person who wrote the book?

Hence, the correct option is (C).

IPMAT Mock Test - 8 (New Pattern) - Question 81

If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 81 Given,

Sn = 2n2 + n.

For Sn−1, We will put (n − 1) at the place of n.

⇒ Tn = Sn − Sn−1 = (2n2 + n) − {2(n − 1)2 + (n − 1)}

⇒ Tn = 2n2 + n − {2(n2 − 2n + 1) + n − 1}

⇒ Tn = 2n2 + n − {2n2 − 4n + 2 + n − 1}

⇒ Tn = 2n2 + n − 2n2 + 3n − 2+1

⇒ Tn = 4n − 1

Therefore, T10 = 4×10−1 = 39

Hence, the correct answer is 39.

IPMAT Mock Test - 8 (New Pattern) - Question 82

In Sahara hospital, the average salary of 9 nurses is Rs. 3600 while the average salary of 11 ward boys is Rs. 4400 and the average salary of all doctors is Rs. 22000. If average salary of entire staff is Rs. 7632, then find the number of doctors working in Sahara hospital.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 82 Given,

The average salary of 9 nurses is Rs. 3600 while the average salary of 11 ward boys is Rs. 4400.

The average salary of all the doctors is Rs 22000.

Total salary of 9 nurses = 3600 × 9 = Rs. 32400

Total salary of 11 ward boys = 4400 × 11 = Rs. 48400

Let the total number of all doctors in hospital be ' d '.

Total salary of ' d ' number of doctors = d × 22000 = Rs. 22000d

The average salary of entire staff is Rs. 7632

Total salary of entire staff = (9 + 11 + d) × 7632 = (20 + d) × 7632

Total salary of entire staff = Total salary of 9 nurses + Total salary of 11 ward boys + Total salary of ' d ' number of doctors

⇒ (20 + d) × 7632 = 32400 + 48400 + 22000d

⇒ 152640 + 7632d = 80800 + 22000d

⇒ 22000d − 7632d = 152640 − 80800

⇒ 14368d = 71840

⇒ d = 71840/14368 = 5

∴ There are 5 doctors available in Sahara hospital.

Hence, the correct answer is 5.

IPMAT Mock Test - 8 (New Pattern) - Question 83

Two horses P and Q are running at a certain point at the speed of 15 km/hr and 17 km/hr respectively. What is the distance between them after 5 hrs if they running in the opposite directions?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 83 Given

Two horses P and Q are running at a certain point at the speed of 15 km/hr and 17 km/hr respectively.

If the speed of the two trains is x km/hr and y km/hr respectively if x > y.

Relative speed, if opposite directions = (x + y) km / hr

Speed = Distance/Time

Relative speed of both horses = 17 + 15 = 32 km/hr

Distance between them after 5 hrs = 32 × 5 = 160 km

Hence, the correct answer is 160 km.

IPMAT Mock Test - 8 (New Pattern) - Question 84

Evaluate 2(sec⁡A − cos⁡A)2 + 2(cosecA − sin⁡A)2 − 2(cot⁡A − tan⁡A)2 − 2.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 84 Given,

2(sec ⁡A − cos ⁡A)2 + 2(cosec A − sin ⁡A)2 − 2(cot ⁡A − tan ⁡A)2 − 2

= 2[(sec⁡ A − cos ⁡A)2 + (cosec A − sin ⁡A)2 − (cot⁡ A − tan ⁡A)2 − 1]

= 2[sec2 ⁡A + cos2 ⁡A − 2sec ⁡A cos ⁡A + cosec2 A + sin2 ⁡A − 2 cosec A sin ⁡A − cot2⁡A − tan2 ⁡A + 2cot ⁡A tan⁡ A −1]

= 2[sec2⁡ A + cos2⁡A − 2 + cosec2 A + sin2⁡A − 2 − cot2⁡ A − tan2⁡ A + 2 −1]

= 2[(cos2⁡A + sin2 ⁡A) + (sec2⁡ A − tan2 ⁡A) + (cosec2 A − cot2 ⁡A) − 3]

[∵ cos2 ⁡A + sin2 ⁡A = 1, sec2⁡ A − tan2⁡ A = 1 and cosec2 A − cot2 ⁡A = 1]

= 2[1 + 1 + 1 − 3]

= 0

Hence, the correct answer is 0.

IPMAT Mock Test - 8 (New Pattern) - Question 85

What is the equation of the line which passes through the points (2,3) and (-4,1)?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 85 Equation of the line which passes through (x1, y1) & (x2, y2) will given by

Here points are (2,3) and (-4, 1)

Hence, the correct answer is x − 3y = −7.

IPMAT Mock Test - 8 (New Pattern) - Question 86

The ratio of the speed of train Before accident and after accident is 3 ∶ 2. After an accident train travels 400 km in 5 hours. Find the original speed of train before the accident.

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 86 Given

The ratio of the speed of train Before accident and after accident = 3 : 2

Distance travelled after an accident =400 km

Time taken = 5 hours

Speed = Distance/Time

Let 3x and 2x be the speed of the train before and after an accident respectively.

Speed of train after an accident = 400/5 = 80 km/hr

⇒ 2x = 80 km/hr

⇒ x = 40 km/hr

Then, speed of the train before an accident = 3x = 40 × 3 = 120 km/hr

∴ Original speed of the train before the accident is 120 km/hr.

Hence, the correct answer is 120 km/hr.

IPMAT Mock Test - 8 (New Pattern) - Question 87

Then the value of x is

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 87 Given,

From (1) and (2)

x = 1

IPMAT Mock Test - 8 (New Pattern) - Question 88

Choose whether (A > B) / (A < b)="" or="" a="" />

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 88 Given,

Hence, the correct answer is A > B.

IPMAT Mock Test - 8 (New Pattern) - Question 89

Find the value of x

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 89 Given,

Comparing (1 − 0.84) (0.842 + 0.84 + 1) with (a − b)(a2 + ab + b2)

(a − b) (a2 + ab + b2) = a3 − b3 = 13 − 0.843

∴ The value of x is 2.5.

Hence, the correct answer is 2.5.

IPMAT Mock Test - 8 (New Pattern) - Question 90

The area of triangle with vertices A(3, 0), B(7, 0) and C(8, 4):

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 90 The area of the △ABC whose points A = (x1, y1), B = (x2, y2) and C = (x3, y3) are given by area of △ABC

= [1/2 [x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)]]

Here, x1 = 3, y1 = 0, x2 = 7, y2 = 0, x3 = 8, y3 = 4

= 1/2[ 3 (0 − 4) + 7(4 − 0) + 8(0 − 0)]

= 1/2[−12 + 28 − 0] = 1/2 (16) = 8

Hence, the correct answer is 8.

IPMAT Mock Test - 8 (New Pattern) - Question 91

The base of a right-angled triangle is 12 cm and the difference between the other two sides is 6 cm. What will be the perimeter of the triangle?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 91 Given

Base = 12 cm

P2 + b2 = h2

Let height be x cm

So, hypotenous is (x + 6)cm

(x + 6)2 − x2 = 144

⇒ x2 + 36 + 12x − x2 = 144

⇒12x =108

x = 9

Height = 9 cm

So, hypotenuse is 15 cm

Perimeter = 9 + 12 + 15

= 36 cm

∴ The perimeter of the triangle is 36 cm.

Hence, the correct answer is 36 cm.

IPMAT Mock Test - 8 (New Pattern) - Question 92

In a mixture 60 liters, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 92

Quantity of water in it = (60 − 40) litres = 20 litres

New ratio = 1 : 2

Let quantity of water to be added further be x litres

Then, milk:

∴ Quantity of water to be added =60 litres.

Hence, the correct answer is 60 litres.

IPMAT Mock Test - 8 (New Pattern) - Question 93

A line passes through (1,1) and is perpendicular to the line 3x + y = 7. Its x-intercept is:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 93 Given,

3x + y = 7

Y = −3x + 7

The slope of line = m = −3

Then the slope of a line perpendicular to it is −1/m = 1/3

The equation of line passing through (1,1) with slope " 1/3 " is:

⇒ 3y − 3 = x − 1

⇒ 3y = x + 2

⇒ 3y − x = 2

For x-intercept, y = 0

∴ x = −2

So, the x-intercept of line is −2.

Hence, the correct answer is −2.

IPMAT Mock Test - 8 (New Pattern) - Question 94

then find the value of x?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 94 Given,

Hence, the correct answer is 32/3.

IPMAT Mock Test - 8 (New Pattern) - Question 95

If log⁡2 = 0.3010 and log⁡3 = 0.4771, the value of log5 ⁡512 is:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 95 Given,

log⁡2 = 0.3010 and log⁡3 = 0.4771

We know that,

Base change formula,

Hence, the correct answer is 3.876.

IPMAT Mock Test - 8 (New Pattern) - Question 96

The radius of the base is tripled and the height of a right circular cone is doubled. The volume of the cone will be:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 96 Given,

Volume of cone

Given, radius is tripled and height is doubles.

Now, R = 3r and H = 2 h

Now, the volume

Hence, the correct answer is 18 times of the previous volume.

IPMAT Mock Test - 8 (New Pattern) - Question 97

If the nine-digit number 7p5964q28 is completely divisible by 88, what is the value of (p2 − q), for the largest value of q, where p and q are natural numbers?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 97 Number should be divisible by 88 then number should be divisible by 8 and 11 both. Largest possible value of q to be divisible by 98 is = 9

⇒ 92/88 = 116

For q = 9, then

Number should be divisible by 11

= (7 + 5 + 6 + 9 + 8) − (p + 9 + 4 + 2)

= 20 − p

(20 − p) should be divisible by 11 then for p = 9 this condition will satisfy.

So, possible value of p = 9

Then,

∴ p2 − q = 81 − 9 = 72

Hence, the correct answer is 72.

IPMAT Mock Test - 8 (New Pattern) - Question 98

Find the number of digits in 176440, given that log 6 = 0.778 and log 7 = 0.845

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 98 Given,

log 176440 = 40 log (62 × 72)

⇒ 40 (2 log 6 + 2 log 7)

⇒ 40 (2 × 0.778 + 2 × 0.845)

⇒ 40 (1.556 + 1.69)

⇒ 40 (3.246)

⇒ 129.84

So, number of digits in 176440 = [(log 176440) + integral part of 1]

⇒ 129 + 1 = 130 digits

Hence, the correct answer is 130.

IPMAT Mock Test - 8 (New Pattern) - Question 99

Sum of the power of all coefficients in the expansion of is:

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 99 Given

The general term in the expansion of (a+b)n in:

Power of x in this term is 26 − 3r.

Total power in all coefficients

Hence, the correct answer is 91.

IPMAT Mock Test - 8 (New Pattern) - Question 100

A cricket team have 2 wicket keepers, 5 bowlers and 8 batsmen. In how many ways can a captain select a playing team of 11 members in which one wicket keeper, 3 bowlers and 7 batsmen?

Detailed Solution for IPMAT Mock Test - 8 (New Pattern) - Question 100 The number of ways to select r things out of n given things wherein r ≤ n is given by

From 2 wicket-keepers we have to select 1, so, number of ways of selecting = 2C1

From 5 bowlers we have to select 3 bowlers, so, the number of ways of selecting = 5C3

From 8 batsmen we have to select 7 batsmen, so, the number of ways of selecting = 8C7

Therefore,

Total required number of ways

= 160 Ways

Hence, the correct answer is 160.

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