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# IPMAT Mock Test - 9 (New Pattern)

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## 100 Questions MCQ Test Mock Tests Series for All other MBA Exams | IPMAT Mock Test - 9 (New Pattern)

IPMAT Mock Test - 9 (New Pattern) for CAT 2023 is part of Mock Tests Series for All other MBA Exams preparation. The IPMAT Mock Test - 9 (New Pattern) questions and answers have been prepared according to the CAT exam syllabus.The IPMAT Mock Test - 9 (New Pattern) MCQs are made for CAT 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for IPMAT Mock Test - 9 (New Pattern) below.
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IPMAT Mock Test - 9 (New Pattern) - Question 1

### If A = 315∘ then find the value of 3(tan2⁡ A + cot⁡A − 3)2?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 1 Given: Angle A = 315°

⇒ 3 (tan2A + cot A – 3)2 = 3 (tan2(315°) + cot (315°) – 3)2

⇒ 3(tan2(315°) + cot (315°) – 3)2 = 3(tan2(360° - 45°) + cot (360° - 45°) – 3)2

We know that, tan (360° - θ) = - tan θ and cot (360° - θ) = - cot θ then,

⇒ 3(tan2(315°) + cot (315°) – 3)2 = 3(tan2 45° - cot 45° - 3)2

As we know that, tan 45° = 1 = cot 45°,

⇒ 3(tan2⁡ A + cot⁡A − 3)2 = 3 (9) = 27

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 2

### Find the value of

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 2 Given

We know that,

tan (900 - A) = cot A

= 0

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 3

### The order of the given matrix is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 3 As we know,

A matrix having m rows and n columns is called a matrix of order m×n or simply m×n matrix.

Given,

As we can see that the given matrix A has 3 rows and 2 columns.

∴ The order of the given matrix A is 3 × 2.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 4

Direction: Study the following graph carefully and answer the question that follows.

The number of students from four different schools who qualified in an exam in six different years from 2012 to 2017 is shown in the graph given below.

What was the total number of students who qualified in the exam from school A in 2016, from school B in 2015, from school C in 2014 and from school D in 2012?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 4 Total number of students who qualified in the exam from school A in 2016, from school B in 2015, from school C in 2014 and from school D in 2012 = 825 + 770 + 710 + 100

= 2405

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 5

Direction: Study the following graph carefully and answer the question that follows.

The number of students from four different schools who qualified in an exam in six different years from 2012 to 2017 is shown in the graph given below.

What was the average number of students who qualified in the exam from school C over all the years together?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 5 The total number of students who qualified in the exam from school C over all the years together.

= 800 + 845 + 710 + 900 + 1100 + 950 = 5305

Therefore, the required average

= 5305/6 = 884.17 ≈ 884

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 6

Direction: Study the following graph carefully and answer the question that follows.

The number of students from four different schools who qualified in an exam in six different years from 2012 to 2017 is shown in the graph given below.

What was the difference between the total number of students who qualified in the exam from schools A and B together in the year 2017 and the total number of students who qualified in the exam from schools C and D together in the year 2015?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 6 The total number of students who qualified in the exam from schools A and B together in the year 2017 = 400 + 770 = 1170

The total number of students who qualified in the exam from schools C and D together in the year 2015 = 900 + 400 = 1300

Therefore, required difference = 1300 - 1170 = 130

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 7

If X={4n − 3n − 1, n ∈ N} and Y = {9n − 9, n ∈ N}, then X ∪ Y is equal to:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 7 Concept

Set theory:

A ∪ B means set of all the values in the set A and B.

A ∩ B is the set of common elements of A and B.

Binomial theorm:

(a+b)n = nC0anb0 + nC1an − 1b1 + nC2an − 2b2 +…+ nCn − 2a2bn − 2 + nCn−1a1bn−1 + nCna0bn

Calculation:

Given X = {4n − 3n−1, n ∈ N} and Y = {9n−9, n ∈ N}

x = 4n − 3n−1 = (3 + 1)n − 3n−1

(∵ nCn−1 = n and nCn = 1)

⇒ X = 32(nC03n−2+nC13n−3+nC23n−4+…+nCn−2)

⇒ x = 9(nC03n−2+nC13n−3+nC23n−4+…+nCn−2)

For n ≥ 2, X is some multiple of 9.

And Xn = 1 = 0

∴ X = {0, some multiples of 9 but not all} .....(i)

Y = 9n − 9 = 9(n − 1)

∴ Y = { All multiple of 9 starting from 0} .......(ii)

From (i) and (ii) we can say,

∴ X ∪ Y = Y

Hence, the correct option is (A).

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

If the sum of n numbers in the GP 4, 8, 16,… is 2044 then n is?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 8 Given series is 4, 8, 16,…

Here, a = 4, r = 2

Sum of n numbers = Sn = 2044

As we know that, Sum of n terms of GP

= Sn = a(rn − 1)/r − 1

Where r > 1

∴Sn = 4(2n − 1)/2 − 1

2044 = 4×(2n − 1)

⇒ 511 = (2n − 1)

⇒ 2n = 512

⇒ 2n = 29

∴ n = 9

Hence, the correct option is (D).

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

In a factory, the average salary of the employees is Rs. 1500. After the inclusion of 5 employees, the total salary increased by Rs. 3000 and the average salary was reduced by Rs. 100, then now the number of employees are:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 9 Given

Average salary of all employees = Rs. 1500

Total salary increased by Rs. (3000 after 5 new employees

Decrease in average after new employees induction = Rs. 100

Formula used:

Average of n numbers = sum of total numbers/n

Let the total number of employees before new employees induction = x

⇒ Total salary of the employees = 1500x

⇒ After new induction, total salary = 1500x + 3000

Then, according to the question:

1400 = ((1500x + 3000)/x) + 5

⇒ 1400x + 7000 = 1500x + 3000

⇒ x = 40

⇒ x + 5 = 45

∴ Now the number of employees = 45

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 10

The average age of 3 sisters is 15. If the ages of 2 sisters are 12 years and 15 years, the age of the third sister is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 10 Let the ages of sisters be x, y, z.

So,

(x + y + z/3) = 15

x + y + z = 45

Given that x, y = 12, 15

⇒ 12 + 15 + z = 45

⇒ z = 18

Therefore, age of third sister is 18 years.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 11

On selling an article for Rs. 265 a man loses 4%. In order to gain 12%, for how much he must sell the article?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 11 Gain % = ((SP − CP)/CP) × 100

Loss % = ((CP − SP)/CP) × 100

Let the Cost price of article be x

Loss =4%

Selling price of article = x − (4/100) × x = 0.96x

0.96x = 265 ⇒ x = Rs. 276

Now the article is sold at gain

Gain = 12%

Selling price of article = 276 + (12/100) × 276 = Rs. 308

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 12

The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, the dividend is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 12 From given data-

Quotient is 16 and the divisor is 25 times the quotient.

⇒ Divisor = 25 × 16 = 400

Also, divisor is 5 times the remainder

⇒ Remainder = divisor/ 5

= 400/5 = 80

We know that,

Dividend = quotient × divisor + remainder

⇒ Dividend = 16 × 400 + 80

= 6480

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 13

In a two digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 13 Let the ten's digits be x.

Then,Unit digit be 2x - 1

Original number:

= 10x + 2x - 1

= 12x - 1

New number:

= 10(2x - 1) + x

= 20x - 10 + x

= 21x - 10

According to the question,

(21x - 10) - (12x - 1)

= (12x - 1) - 20

9x - 9 = 12x - 21

3x = 12

x = 4

Original number:

= 12x - 1

= 12 × 4 - 1

= 47

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 14

If 432P1 is completely divisible by 9, then what is the value of P?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 14 We know that if the sum of digits in a number is divisible by 9 then the number is divisible by 9.

Now 4 + 3 + 2 + P + 1 should be divisible by 9.

So, 10 + P should be divisible by 9.

Also P is a single-digit number.

The number after 10 which is divisible by 9 is 18.

So P = 18 − 10 = 8

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 15

The value of

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 15 Given,

= 16/81

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 16

A man completes a certain journey by a car. If he covered 30% of the distance at the speed of 20kmph, 60% of the distance at 40km/h and the remaining of the distance at 10 kmph, his average speed is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 16 Let the total distance be 100 km.

Average speed

= 25 km/h

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 17

Solve: where x ∈ R, x ≠ ±2

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 17 Given,

Using number line rule:

1 ≤ |x| < />

⇒ x ∈ (-2, -1) ∪ (1, 2)

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 18

Shikha invested a total of Rs. 1500 in two different schemes offering simple interest of 6% and 4% respectively. In two years' time, the scheme offering higher interest rate gives Rs. 100 more interest than the scheme offering the lower rate. What was the ratio of amount invested at higher interest rate to the other amount?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 18 Let the sum invested by Shikha in the Scheme offering a higher interest rate be x.

So, Sum invested by Shikha in another scheme = (1500 - x)

Thus,

= 100

= 100

On solving,

x = Rs. 1100

Another amount = 1500 − 1100

= Rs. 400

Thus, the required ratio = 11 : 4

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 19

In how many ways can a team of 6 members be selected from 7 boys and 4 girls, consisting of equal number of boys and girls.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 19 Concept

The number of ways to select r things out of n things is given by, nCr

Calculation:

Here, we have 7 boys and 4 girls out of which we have to select an equal number of boys and girls to form a team of 6 (i.e., 3 boys and 3 girls)

∴ Required number of ways 7C3 x 4C3

= 35 x 4

= 140

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 20

If x, y, z are three consecutive positive integers, then log (1 + xz) is

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 20 Let x, y, z are three consecutive positive integers.

⇒ y = x + 1 and z = y + 1

⇒ z = x + 2

Consider, log (1 + xz)

= log [1 + x(x + 2)]

= log [1 + x2 + 2x]

= log (1 + x)2

= 2 log (1 + x)

= 2 log y

So, If x, y, z are three consecutive positive integers, then log (1 + xz) is 2 log y.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 21

Equation of the circle having diameter 8 and diameters y + 2x - 5 = 0 and 2y + 3x - 8 = 0 is?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 21 Given

Diameter = 8

Also diameters equations:

y + 2x − 5 = 0 ...(i)

2y + 3x − 8 = 0 ..(ii)

Subtracting 2× (i) from (ii)

−x + 2 = 0

x = 2

Putting back in (i):

y + 2 × 2 − 5 = 0

y = 1

So center is (2,1) and radius is 4.

The equation of circle:

(x − 2)2 + (y − 1)2 = 42

x2 + 4 − 4x + y2 + 1 − 2y = 16

x2 + y2 − 4x − 2y − 11 = 0

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 22

A man completes a journey in 10 hours. He travels the first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr. Find the total journey in km.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 22 Given

Total time = 10 hours

Half journey at the rate of speed = 21 km/hr

and

Half journey at the rate of speed = 24 km/hr

We know that,

Time = Distance/Speed

Let distance = x

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 23

When a number n is divided by 5, the remainder is 2. When n2 is divided by 5, the remainder will be:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 23 We know that,

Dividend = Divisor × Quotient + Remainder

Let the quotient be =b

n = 5 × b + 2

n2 = (5b + 2)2

⇒ n2 = 25b2 + 4 + 2 × 5b × 2

⇒ n2 = 25b2 + 4 + 20b

⇒ n2 = 5(5b2 + 4b) + 4

∴ When n2 is divided by 5, the remainder will be 4.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 24

Find the value of log6√2 + log6√3

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 24 We have to find the value of log6⁡√2+log6⁡√3

log6√⁡2 + log6⁡√3

= log6⁡(√2 × √3) (∵ log⁡m + log⁡n = log⁡mn)

= log6⁡(√6)

= log6⁡61/2

=(½)log6⁡6 (∵ log⁡mn = nlog⁡m)

As we know,

logm⁡m = (loga⁡m/loga⁡m) = 1

∴ log6⁡√2 + log6⁡√3 = ( ½)log6⁡6

= (½) ×1 = 1/2

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 25

Direction: Study the following graph carefully and answer the question that follows.

The number of students from four different schools who qualified in an exam in six different years from 2012 to 2017 is shown in the graph given below.

What was the ratio of the number of students who qualified in the exam from school C in the year 2014 to the number of students who qualified in the exam from school D in the year 2017?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 25 Number of students who qualified in the exam from school C in the year 2014 = 710

Number of students who qualified in the exam from school D in the year 2017 = 600

Required ratio = 710 : 600

= 71 : 60

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 26

Direction: Study the following graph carefully and answer the question that follows.

The number of students from four different schools who qualified in an exam in six different years from 2012 to 2017 is shown in the graph given below.

What was the approximate percentage increase in the number of students who qualified in the exam from school A in the year 2013 as compared to that in the previous year?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 26 The number of students who qualified in the exam from school A in the year 2013 = 625

The number of students who qualified in the exam from school A in the year 2012 = 450

Increase = 625 - 450 = 175

Therefore, required percentage

= (175/450) × 100 = (350/9) = 38.88% ≈ 39%

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 27

If A = [2, 3] then cardinality of A × A × A is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 27 Given that,

A = [2, 3]

Then,

A × A = [2, 3] × [2, 3]

= [(2, 2), (2, 3), (3, 2), (3, 3)]

Therefore,

A × A × A = [2, 3] × [2, 3] × [2, 3]

= [(2, 2), (2, 3), (3, 2), (3, 3)] × [2, 3]

= [(2, 2, 2), (2, 2, 3), (2, 3, 2), (2, 3, 3), (3, 2, 2), (3, 2, 3), (3, 3, 2), (3, 3, 3)]

So, n(A × A × A) = 8

Therefore, cardinality = 8

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 28

Find the equation of the tangent to the ellipse x2 + 2y2 = 4 at the point where ordinate is 1 such that point lies in the first quadrant?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 28 Given

Equation of ellipse is x2 + 2y2 = 4

Here, we have to find the equation of the tangent to the given ellipse at the point where ordinate is 1 such that the point lies in the first quadrant.

Let the point be P = (c, 1)

Now this point P lies on the ellipse. So, x = c and y = 1 will satisfy the equation x2 + 2y2 = 4

c/2 + 2 = 4

c = ± √2

So, the point P is (√2, 1) because the point P lies in the first quadrant.

The given equation of ellipse we can be re-written as: (x2/4) + (y2/2) = 1

As we know that, the equation of the tangent to the horizontal ellipse x2/a2 + y2/b2 = 1 where 0 < b="" />< a="" at="" the="" point="" />1, y1) is given by:

So, the required equation of tangent is √2x + 2y - 4 = 0

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 29

If A = and B = then the value of (AB)T is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 29 Given,

Now, we can get transpose of AB by switching its rows with its columns.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 30

The total surface area of a cube is 108 cm2. Find the volume of the cube?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 30 Given

Total surface area of cube = 108 cm2

Formula used:

TSA of cube = 6a2

Volume of cube = a3

Let, the side of the cube be a.

∵ TSA of cube = 6a2

⇒ 108 cm2 = 6a2

⇒ a2 = 108/6

⇒ a2 = 18 cm2

⇒ a = √18 = 3√2 cm

∴ Volume of cube = a3

= (3√2)3

= 54√2 cm3

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 31

Simplify:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 31 Given,

= 1

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 32

Let f: R → R be defined as f(x) = x4. Choose the correct answer.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 32 f: R→R is defined as f(x) = x4.

Let x, y ∈ R such that:

f(x) = f(y)

Then,

x4 = y4

x = ±y

∴ f(x1) = f(x2) does not imply that x1 = x2

For instance f(1) = f(−1) = 1

∴ f is not one-one.

Consider an element −2 in co-domain R.

It is clear that, there does not exist any x in domain R such that:

f(x)=−2

∴ f is not onto.

Therefore, function f is neither one-one nor onto.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 33

Find the value of x and y such that

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 33 Given,

As we know,

If two matrices and are said to be equal, then

Order of matrix A = Order of matrix B

Corresponding element of matrix A= Corresponding element of B

So,

x − y = 2...(1)

x + y = 16...(2)

On adding equation (1) and (2) we get,

2x = 18

⇒ x = 9

Substituting x = 9 in equation (2) we get

9 + y = 16

⇒ y = 16 − 9

⇒ y = 7

So, the value of x = 9 and y = 7

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 34

A train crossed a 110 m long platform in 13.5 seconds and a 205 m long platform in 18.25 seconds. What was the speed of the train?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 34 Let the length of train be x m.

⇒ Speed of train = (length of platform + length of train)/time

According to question,

⇒ 401.5 + 3.65x = 553.5 + 2.7x

⇒ 0.95x = 152

⇒ x = 160

⇒ Speed of train

= (110 + 160)/13.5

= 20 m/sec

= 20 × (18/5) = 72 km/hr

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 35

If 10Pr = 5040, then r =

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 35 We know that,

nPr= (n!/(n−r)!) = n×(n−1)×….×(n−r+1)

Here, 10Pr = 5040

10Pr = 10 × 504

10Pr = 10 × 9 × 56

= 10 × 9 × 8 × 7

= 10 × (10 − 1) × (10 − 2) × (10 − 4 + 1)

On comparing with,

nPr = n × (n−1)×……(n−r+1),

We get,

R = 4

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 36

A problem is given to three persons and their chances of solving it are 1/3,1/4,1/5 respectively. This probability that none will solve it is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 36 Given,

Probability of Solving the problem by first person = 1/3

Probability of Solving the problem by second person = 1/4

Probability of Solving the problem by third person = 1/5

We know that,

Probability of occurrence of an event =1− Probability of not happening of the same event

Then,

Probability of Not Solving the problem by first person

= 1 − (1/3)

= 2/3

Probability of not Solving the problem by second person

= 1 − (1/4)

= 3/4

Probability of not Solving the problem by third person

= 1 − (1/5)

= 4/5

So,

The probability of none solving the problem

= (⅔) × (¾) × (4/5)

= 2/5

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 37

If the distance between point A(5,a) and B(17,12) is 13 units, then find the value of a:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 37 Given

Point A = (5, a) and Point B = (17, 12)

The distance between the two points is 13 units.

Formula Used:

Distance between two points

Point A = (5, a)

⇒ x1 = 5 and y1 = a

Point B = (17, 12)

⇒ x2 = 17 and y2 = 12

Using the formula,

⇒ 132 = (12)2 + (12 − a)2

⇒ 169 = 144 + (12 − a)2

⇒ (12 − a)2 = 169 − 144

⇒ (12 − a)2 = 25

⇒ 12 − a = √25

⇒ 12 − a = 5

⇒ a = 12 − 5

⇒ a = 7

∴ The value of a is 7 units.

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 38

In an examination, 20% of the total number of students failed in English, 15% of the total number of students failed in Maths, and 5% of the total number of students failed in both. What is the percentage of students who passed in both the subjects?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 38 Given

Total number of students failed in English (x) = 20%

Total number of students failed in Maths (y) = 15%

Total number of students failed in both (z) = 5%

Formula Used:

Percentage of students passed in both = [100 − (x + y − z)]

= [100 − (20 + 15 − 5)]

= [100 − 30]

= 70%

∴ 70% students passed in both subjects.

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 39

If A = {2, 3}, B = {4, 5}, C = {5, 6}, then what is the number of elements in A x (B ∩ C)?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 39 We know that

If A and B be any two sets, then:

(A ∩ B) = {x, x ∈ A and x ∈ B}

A × B = {(x, y), x ∈ A and y ∈ B}

Given that,

A = {2, 3}, B = {4, 5}, C = {5, 6}

Then,

(B ∩ C) = {5}

A × (B ∩ C) = {(2, 5), (3, 5)}

Therefore, the number of elements in A × (B ∩ C) = 2

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 40

Prem buys a table for Rs. 450 and spends Rs. 30 on its transportation. If he sells the table for Rs. 600 what will be his gain percent?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 40 Given,

Purchased price of a table = Rs. 450

Transportation charges = Rs. 30

Total cost price of a table

= 450 + 30 = 480

Cost price of a table = Rs. 480

Selling price of a table = Rs. 600

Profit percentage

= 25

∴ Profit percentage is 25%

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 41

Direction: Rearrange the following five sentences/ group of sentences A, B, C, D and E in the proper sequence to form a meaningful paragraph; then answer the questions given below them.

Which of the following should be the FIRST sentence after rearrangement?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 41 The given passage is about the well known monument Taj Mahal. Hence the first line should introduce the monument with regards to its builder and situation which is done in sentence B. This should be followed by any description of the building itself which is done by sentence c where it is mentioned the building material.

Sentence A and E which describes the various components of the building complex should come in next. Sentence A should be the third sentence as it states what is in the front of the monument and sentence E follows as it describes what is inside the monument. Sentence D is the last sentence of the passage. The correct order is BCAED.

Hence, the correct answer is B.

IPMAT Mock Test - 9 (New Pattern) - Question 42

Direction: Rearrange the following five sentences/ group of sentences A, B, C, D and E in the proper sequence to form a meaningful paragraph; then answer the questions given below them.

Which of the following should be the LAST sentence after rearrangement?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 42 The given passage is about the well known monument Taj Mahal. Hence the first line should introduce the monument with regards to its builder and situation which is done in sentence B. This should be followed by any description of the building itself which is done by sentence c where it is mentioned the building material.

Sentence A and E which describes the various components of the building complex should come in next. Sentence A should be the third sentence as it states what is in the front of the monument and sentence E follows as it describes what is inside the monument. Sentence D is the last sentence of the passage. The correct order is BCAED.

Hence, the correct answer is D.

IPMAT Mock Test - 9 (New Pattern) - Question 43

Direction: In this question, a part of the sentence is made bold. Below are given alternatives to the bold part at (A), (B), and (C) which may improve the sentence. Choose the correct alternative. In case no correction is needed, mark (D) as your answer.

Students from around the world have increasing started opting to online education.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 43 The original sentence is incorrect.

Reason: As we can observe that the sentence is made in Present Perfect Tense (Have + V3), usage of ‘increasing’ is ungrammatical in the sentence. Instead of it, the adverb ‘increasingly’ should be used here.

Besides, the verb ‘opt’ always takes preposition ‘for’ after it. Therefore, ‘to’ must be replaced by ‘for’ to make it a grammatically correct sentence.

Clearly, among the given choices option (C) replaces the bold part most appropriately.

The sentence after replacement becomes:

Students from around the world have increasingly started opting for online education.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 44

Direction: In this question, a part of the sentence is made bold. Below are given alternatives to the bold part at (A), (B), and (C) which may improve the sentence. Choose the correct alternative. In case no correction is needed, mark (D) as your answer.

Getting to hire as the assistant to a pastry chef seemed like a dream come true.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 44 The original sentence is incorrect.

Reason: The sentence is starting with a gerund and implying as the narrator is feeling happy to have got the job of the assistant to a pastry chef. Therefore, instead of ‘to hire’, the past participle ‘hired’ must be used to make the sentence meaningful.

Ex. Getting married was the best decision of my life. (Correct)

Ex. Getting to marry was the best decision of my life. (Incorrect)

Clearly, among the given choices option (C) replaces the bold part most appropriately.

The sentence after replacement becomes:

Getting hired as the assistant to a pastry chef seemed like a dream come true.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 45

Direction: In this question, a part of the sentence is made bold. Below are given alternatives to the bold part at (A), (B), and (C) which may improve the sentence. Choose the correct alternative. In case no correction is needed, mark (D) as your answer.

A federal government climate-change report released last year shows the Pacific Northwest is already seeing damage from rising temperatures.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 45 The original sentence is correct in the given form and therefore the bold part needs no replacement.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 46

Direction: In each question a sentence is given followed by a blank. You are provided with three fragments I, II and III. You have to identify which statement/statements can carry forward the given sentence in the most logical way so as to make the sentence coherent and contextually correct.

On one hand, the government is providing ___________.

I. power to industrialists of Vidarbha and Marathwada at concessional rates but on the other, the State Discom MSEDCL is providing free electricity to them.

II. cheap food to people and on the other, it is increasing fuel prices.

III. water and power supply in some colonies but on the other side, government has lifted the ban on their development.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 46 I. On one hand, the government is providing power to industrialists of Vidarbha and Marathwada at concessional rates but on the other, the State Discom MSEDCL is providing free electricity to them.

Whenever we have the expression ‘on one hand..on the other hand..’, we have two contradicting statements for each. Here, both statements agree with each other and hence, the sentence is not logical.

II. On one hand, the government is providing cheap food to people and on the other, it is increasing fuel prices. This is correct.

III. On one hand, the government is providing water and power supply in some colonies but on the other side, government has lifted the ban on their development.

Here too, we have two statements agreeing with one another and hence illogical.

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 47

Direction: In each question a sentence is given followed by a blank. You are provided with three fragments I, II and III. You have to identify which statement/statements can carry forward the given sentence in the most logical way so as to make the sentence coherent and contextually correct.

No matter how much we ____________.

I. mitigate, there prevails some information asymmetry which makes some amount of climate change unavoidable.

II. understand him, we will fully grasp the myriad ways in which he has made the sport better.

III. care for her, it will not be in vain.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 47 No matter what conveys that whatever action one may take with respect to something, the result would be inadequate/ there would be some issue.

Statement I: No matter how much we mitigate, some amount of climate change is unavoidable.

This is correct.

Statement II: No matter how much we understand him, we will fully grasp the myriad ways in which he has made the sport better.

This is incorrect as both statements are in agreement with each other.

Statement III: No matter how much we care for her, it will not be in vain.

Again, these statements are not in contradiction and hence incorrect.

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 48

Direction: In each question a sentence is given followed by a blank. You are provided with three fragments I, II and III. You have to identify which statement/statements can carry forward the given sentence in the most logical way so as to make the sentence coherent and contextually correct.

From its establishment many decades back, _________.

I. the value of the Canada-U.S. surface trade has increased by 76% in the present day, while that of the U.S.-Mexico surface trade has increased by 372%.

II. Magnet has invested till date, over €120m in developing its own advanced telecoms network.

III. much of Germany’s political class has worried that the 92 MPs entering the Bundestag could throw a spanner in the works of German democracy.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 48 From its establishment many decades back, the value of the Canada-U.S. surface trade has increased by 76% in the present day, while that of the U.S.-Mexico surface trade has increased by 372%.

This is correct.

From its establishment many decades back, Magnet has invested till date, over €120m in developing its own advanced telecoms network.

This is correct.

From its establishment many decades back, much of Germany’s political class has worried that the 92 MPs entering the Bundestag could throw a spanner in the works of German democracy.

This does not make sense either grammatically or contextually and is wrong.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 49

Directions: The following question has two blanks, each blank indicating that something has been omitted. Choose the set of words for each blank that best fits in the context of the sentence.

Central banks across the globe are preparing to loosen monetary policies, to _______ their respective economies and it is expected that gold will continue the ongoing ________.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 49 Central banks “loosen monetary policies” so as to ‘stimulate’ economies. In the context of the sentence, the only possible words that can fit the first blank are “spur", “inspire” or "encourage". This eliminates the option (C).

The word “ongoing” before the second blank, implies that a force has already been set in motion and would be continued. In other words, the “momentum” would be continued. This eliminated options (B) and (D).

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 50

Directions: The following question has two blanks, each blank indicating that something has been omitted. Choose the set of words for each blank that best fits in the context of the sentence.

Investors can think of putting in at least 10 percent of their savings in gold as it has the _____ to be an ______ for the portfolio in a fragile trade environment.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 50 In the context of the sentence, "potential" or "probability" can fit the first blank and this eliminates options (A) and (B). Further, as diversification of portfolio by investing in gold provides a protection, "insurance" is the most appropriate choice for the second blank. Thus, option (D) gets eliminated as well.

Investors can think of putting in at least 10 percent of their savings in gold as it has the potential to be an insurance for the portfolio in a fragile trade environment.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 51

Direction: Complete the paragraph given below.

Vinyasa, as commonly understood, consists of moving from one asana or body position to another, combining breathing with the movement. The concept is to take orderly steps, each step placed correctly while considering the person and goal so that progress is consistent and steady. The order in which the poses are done in an asana practice is not an arbitrary matter. _____________ . When strung together without purpose they form nonsense, but when properly ordered they create words, sentences, and wondrous literature.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 51 'It is as if the asanas were letters of the alphabet' is the correct answer. The central idea of the passage is the description of Vinyasa to be an orderly and consistent exercise.

Option (A) and (B) are clearly not relevant to the primary idea. Option (D) goes against the central idea of 'orderly steps'. Thus, option (C) brings out a metaphor (that of alphabet's orderly nature) to stress the central idea of the passage and continues into a valid conclusion.

The correct paragraph- Vinyasa, as commonly understood, consists of moving from one asana or body position to another, combining breathing with the movement. The concept is to take orderly steps, each step placed correctly while considering the person and goal so that progress is consistent and steady. The order in which the poses are done in an asana practice is not an arbitrary matter. It is as if the asanas were letters of the alphabet. When strung together without purpose they form nonsense, but when properly ordered they create words, sentences and wondrous literature.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 52

Direction: Read the passage given below and answer the questions that follow by selecting the correct most appropriate options.

1. Each drop represents a little bit of creation and of life itself. When the monsoon brings to northern India the first rains of summer, the parched earth opens its pores and quenches its thirst with a hiss of ecstasy. After baking in the sun for the last few months, the land looks cracked, dusty and tired. Now, almost overnight, new grass springs up, there is renewal everywhere, and the damp earth releases a fragrance sweeter than any devised by man.

2. Water brings joy to earth, grass, leaf bud, blossom, insect, bird, animal and the pounding heart of man. Small children run out of their homes to romp naked in the rain. Buffaloes, which have spent the summer listlessly around lakes gone dry, now plunge into heaven of muddy water. Soon the lakes and rivers will overflow with the monsoon’s generosity, Trekking in the Himalayan foothills, I recently walked for kilometres without encountering habitation. I was just scolding myself for not having brought along a water- bottle when I came across a patch of green on a rock face. I parted a curtain of tender maidenhair fern and discovered a tiny spring issuing from the rock-nectar for the thirsty traveller.

3. I stayed there for hours, watching the water descend, drop by drop, into a tiny casement in the rocks. Each drop reflected creation. That same spring, I later discovered, joined other springs to form a. swift, tumbling. stream, which went cascading down the hill into other streams until, in the plains, it became part of a river. And that river flowed into another mightier river that kilometres later emptied into the ocean. Be like water, taught Laotzu, philosopher ‘and founder of Taoism. Soft and limpid, it finds its way through, over or under any obstacle. It does not quarrel; it simply moves on.

Which of the following words is most similar in meaning to the word ‘pounding’ as used in para 2 of the passage?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 52 The meaning of given words:
• Pounding means the sound, feeling, or action of something beating repeatedly.

• Palpitating means (of the heart) beating rapidly and strongly.

• Benumbing means to make numb, especially by cold.

• Sinking means to go below the surface of water or another liquid.

• Shaking means to move backwards and forwards or up and down in quick, short movements, or to make something or someone do this.

Thus, palpitating and pounding are similar in meaning.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 53

Direction: Read the passage given below and answer the questions that follow by selecting the correct most appropriate options.

1. Each drop represents a little bit of creation and of life itself. When the monsoon brings to northern India the first rains of summer, the parched earth opens its pores and quenches its thirst with a hiss of ecstasy. After baking in the sun for the last few months, the land looks cracked, dusty and tired. Now, almost overnight, new grass springs up, there is renewal everywhere, and the damp earth releases a fragrance sweeter than any devised by man.

2. Water brings joy to earth, grass, leaf bud, blossom, insect, bird, animal and the pounding heart of man. Small children run out of their homes to romp naked in the rain. Buffaloes, which have spent the summer listlessly around lakes gone dry, now plunge into heaven of muddy water. Soon the lakes and rivers will overflow with the monsoon’s generosity, Trekking in the Himalayan foothills, I recently walked for kilometres without encountering habitation. I was just scolding myself for not having brought along a water- bottle when I came across a patch of green on a rock face. I parted a curtain of tender maidenhair fern and discovered a tiny spring issuing from the rock-nectar for the thirsty traveller.

3. I stayed there for hours, watching the water descend, drop by drop, into a tiny casement in the rocks. Each drop reflected creation. That same spring, I later discovered, joined other springs to form a. swift, tumbling. stream, which went cascading down the hill into other streams until, in the plains, it became part of a river. And that river flowed into another mightier river that kilometres later emptied into the ocean. Be like water, taught Laotzu, philosopher ‘and founder of Taoism. Soft and limpid, it finds its way through, over or under any obstacle. It does not quarrel; it simply moves on.

Which one of the following words is most opposite in meaning to the word ‘descend’ (para 3) as used in the passage?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 53 The meaning of given words:
• Descend means move or fall downwards.

• Ascend means go up or climb.

• Hover means remain in one place in the air.

• Zoom means move or travel very quickly.

• Flow means the action or fact of moving along in a steady, continuous stream.

Thus, ascend and descend are opposite in meaning.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 54

Direction: Read the passage given below and answer the questions that follow by selecting the correct most appropriate options.

1. Each drop represents a little bit of creation and of life itself. When the monsoon brings to northern India the first rains of summer, the parched earth opens its pores and quenches its thirst with a hiss of ecstasy. After baking in the sun for the last few months, the land looks cracked, dusty and tired. Now, almost overnight, new grass springs up, there is renewal everywhere, and the damp earth releases a fragrance sweeter than any devised by man.

2. Water brings joy to earth, grass, leaf bud, blossom, insect, bird, animal and the pounding heart of man. Small children run out of their homes to romp naked in the rain. Buffaloes, which have spent the summer listlessly around lakes gone dry, now plunge into heaven of muddy water. Soon the lakes and rivers will overflow with the monsoon’s generosity, Trekking in the Himalayan foothills, I recently walked for kilometres without encountering habitation. I was just scolding myself for not having brought along a water- bottle when I came across a patch of green on a rock face. I parted a curtain of tender maidenhair fern and discovered a tiny spring issuing from the rock-nectar for the thirsty traveller.

3. I stayed there for hours, watching the water descend, drop by drop, into a tiny casement in the rocks. Each drop reflected creation. That same spring, I later discovered, joined other springs to form a. swift, tumbling. stream, which went cascading down the hill into other streams until, in the plains, it became part of a river. And that river flowed into another mightier river that kilometres later emptied into the ocean. Be like water, taught Laotzu, philosopher ‘and founder of Taoism. Soft and limpid, it finds its way through, over or under any obstacle. It does not quarrel; it simply moves on.

Which part of speech is the underlined word in the following sentence?

Almost overnight new grass spring up.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 54 Almost is an adverb here. Almost means 'nearly', 'not quite' or 'not completely'.

An adverb is a word that is used to change, modify or qualify several types of words including an adjective, a verb, a clause, another adverb, or any other type of word or phrase, with the exception of determiners and adjectives, that directly modify nouns.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 55

Direction: In the following question, the given sentence has four parts marked (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 'No error (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 - 9 (New Pattern) - Question 55 The correct sentence: Can you tell me the name of the person who wrote the book?
• We need to replace 'whom' with 'who' to correct the sentence.

• We use Who as a relative pronoun to introduce a relative clause about people. Ex: The police officer who came was a friend of my father’s.

• Whom is the object form of 'who'. We use whom to refer to people in formal styles or in writing when the person is the object of the verb. Ex: Whom did he marry?

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 56

Direction: In the following question, the given sentence has four parts marked (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 'No error (S)' as your answer.

Men who has risen (P) / by their own exertions (Q) / are always respected. (R) / No error (S)

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 56 The correct sentence: Men who have risen by their own exertions are always respected.
• Replace has with have in part P.

• Subjects and verbs must agree with one another in number (singular or plural). Thus, if a subject is singular, its verb must also be singular; if the subject is a plural, its verb must also be plural.

• Here, Men is the plural subject so we need a plural helping verb(have).

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 57

Direction: Read the passage given below and answer the questions that follow by selecting the correct most appropriate options.

1. Each drop represents a little bit of creation and of life itself. When the monsoon brings to northern India the first rains of summer, the parched earth opens its pores and quenches its thirst with a hiss of ecstasy. After baking in the sun for the last few months, the land looks cracked, dusty and tired. Now, almost overnight, new grass springs up, there is renewal everywhere, and the damp earth releases a fragrance sweeter than any devised by man.

2. Water brings joy to earth, grass, leaf bud, blossom, insect, bird, animal and the pounding heart of man. Small children run out of their homes to romp naked in the rain. Buffaloes, which have spent the summer listlessly around lakes gone dry, now plunge into heaven of muddy water. Soon the lakes and rivers will overflow with the monsoon’s generosity, Trekking in the Himalayan foothills, I recently walked for kilometres without encountering habitation. I was just scolding myself for not having brought along a water- bottle when I came across a patch of green on a rock face. I parted a curtain of tender maidenhair fern and discovered a tiny spring issuing from the rock-nectar for the thirsty traveller.

3. I stayed there for hours, watching the water descend, drop by drop, into a tiny casement in the rocks. Each drop reflected creation. That same spring, I later discovered, joined other springs to form a. swift, tumbling. stream, which went cascading down the hill into other streams until, in the plains, it became part of a river. And that river flowed into another mightier river that kilometres later emptied into the ocean. Be like water, taught Laotzu, philosopher ‘and founder of Taoism. Soft and limpid, it finds its way through, over or under any obstacle. It does not quarrel; it simply moves on.

Children respond to the first rains of summer by:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 57 Children respond to the first rains of summer by running and playing in the rain.

According to the passage, 'Small children run out of their homes to romp naked in the rain.'

Romp means to play in a rough, excited, and noisy way. It can be concluded that the children played excitedly in the rain.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 58

As NASA works toward its long-term goal of establishing a human settlement on Mars, SpaceX is fleshing out its plans to help NASA make that dream a reality.

The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Before Starship can launch to Mars, it will start off launching commercial satellites as early as 2021, followed by a manned flight around the moon in 2023. Although SpaceX has not given a timeline for its first missions to Mars, SpaceX founder Elon Musk has said that the first Mars base could be up and running in 2028. And while Musk shared some eye-catching artist illustrations depicting what he called "Mars Base Alpha" as an intricate network of buildings and infrastructure, SpaceX's plans for the Red Planet are not quite that extensive.

"SpaceX very much is a transportation company," Paul Wooster, the principal Mars development engineer at SpaceX, said during a speech at the Humans to Mars Summit in Washington in May. He explained that SpaceX plans to build whatever infrastructure is necessary to support the company's Starship flights to and from Mars; that could include landing pads and refueling stations for the reusable rockets.

For its very first Mars missions, SpaceX will land at least two unmanned cargo ships on the Red Planet before sending any humans there, Wooster said. Those cargo missions would bring supplies, such as life- support systems and power generators that the first astronauts on Mars will need when they set up camp.

The first unmanned Mars missions will also be tasked with confirming the presence of natural resources that can provide fuel for future two-way missions to the Red Planet, Wooster said. SpaceX wants to use water ice from the planet's surface and carbon dioxide from the Martian atmosphere to refuel Starships on Mars, enabling the rockets to return to Earth.

After those first two cargo missions, SpaceX will launch two manned missions alongside two additional cargo-only flights to begin setting up a propellant production plant. At that plant, water and carbon dioxide will be converted into liquid methane and liquid oxygen, which fuel the rocket's engines.

So, while SpaceX intends to set up a transportation system for humans and cargo traveling to the Red Planet, the company won't be building an entire Mars base on its own. Musk has laid out his vision to create a million-person colony on Mars, but to establish that colony SpaceX will have to work together with NASA and the agency's international partners and other commercial space companies. Several companies have already begun designing concepts for Mars habitats and have proposed orbital outposts similar to NASA's Lunar Gateway, which could serve as a waypoint for Starship and reduce the amount of fuel needed for return trips to Earth.

What is the name of the spacecraft that SpaceX is building that will carry passengerFalcon 9and cargo to mars?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 58 The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 59

As NASA works toward its long-term goal of establishing a human settlement on Mars, SpaceX is fleshing out its plans to help NASA make that dream a reality.

The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Before Starship can launch to Mars, it will start off launching commercial satellites as early as 2021, followed by a manned flight around the moon in 2023. Although SpaceX has not given a timeline for its first missions to Mars, SpaceX founder Elon Musk has said that the first Mars base could be up and running in 2028. And while Musk shared some eye-catching artist illustrations depicting what he called "Mars Base Alpha" as an intricate network of buildings and infrastructure, SpaceX's plans for the Red Planet are not quite that extensive.

"SpaceX very much is a transportation company," Paul Wooster, the principal Mars development engineer at SpaceX, said during a speech at the Humans to Mars Summit in Washington in May. He explained that SpaceX plans to build whatever infrastructure is necessary to support the company's Starship flights to and from Mars; that could include landing pads and refueling stations for the reusable rockets.

For its very first Mars missions, SpaceX will land at least two unmanned cargo ships on the Red Planet before sending any humans there, Wooster said. Those cargo missions would bring supplies, such as life- support systems and power generators that the first astronauts on Mars will need when they set up camp.

The first unmanned Mars missions will also be tasked with confirming the presence of natural resources that can provide fuel for future two-way missions to the Red Planet, Wooster said. SpaceX wants to use water ice from the planet's surface and carbon dioxide from the Martian atmosphere to refuel Starships on Mars, enabling the rockets to return to Earth.

After those first two cargo missions, SpaceX will launch two manned missions alongside two additional cargo-only flights to begin setting up a propellant production plant. At that plant, water and carbon dioxide will be converted into liquid methane and liquid oxygen, which fuel the rocket's engines.

So, while SpaceX intends to set up a transportation system for humans and cargo traveling to the Red Planet, the company won't be building an entire Mars base on its own. Musk has laid out his vision to create a million-person colony on Mars, but to establish that colony SpaceX will have to work together with NASA and the agency's international partners and other commercial space companies. Several companies have already begun designing concepts for Mars habitats and have proposed orbital outposts similar to NASA's Lunar Gateway, which could serve as a waypoint for Starship and reduce the amount of fuel needed for return trips to Earth.

What is the name of the proposed Mars base as put forward by SpaceX?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 59 Musk shared some eye-catching artist illustrations depicting what he called "Mars Base Alpha" as an intricate network of buildings and infrastructure, SpaceX's plans for the Red Planet are not quite that extensive.

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 60

As NASA works toward its long-term goal of establishing a human settlement on Mars, SpaceX is fleshing out its plans to help NASA make that dream a reality.

The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Before Starship can launch to Mars, it will start off launching commercial satellites as early as 2021, followed by a manned flight around the moon in 2023. Although SpaceX has not given a timeline for its first missions to Mars, SpaceX founder Elon Musk has said that the first Mars base could be up and running in 2028. And while Musk shared some eye-catching artist illustrations depicting what he called "Mars Base Alpha" as an intricate network of buildings and infrastructure, SpaceX's plans for the Red Planet are not quite that extensive.

"SpaceX very much is a transportation company," Paul Wooster, the principal Mars development engineer at SpaceX, said during a speech at the Humans to Mars Summit in Washington in May. He explained that SpaceX plans to build whatever infrastructure is necessary to support the company's Starship flights to and from Mars; that could include landing pads and refueling stations for the reusable rockets.

For its very first Mars missions, SpaceX will land at least two unmanned cargo ships on the Red Planet before sending any humans there, Wooster said. Those cargo missions would bring supplies, such as life- support systems and power generators that the first astronauts on Mars will need when they set up camp.

The first unmanned Mars missions will also be tasked with confirming the presence of natural resources that can provide fuel for future two-way missions to the Red Planet, Wooster said. SpaceX wants to use water ice from the planet's surface and carbon dioxide from the Martian atmosphere to refuel Starships on Mars, enabling the rockets to return to Earth.

After those first two cargo missions, SpaceX will launch two manned missions alongside two additional cargo-only flights to begin setting up a propellant production plant. At that plant, water and carbon dioxide will be converted into liquid methane and liquid oxygen, which fuel the rocket's engines.

So, while SpaceX intends to set up a transportation system for humans and cargo traveling to the Red Planet, the company won't be building an entire Mars base on its own. Musk has laid out his vision to create a million-person colony on Mars, but to establish that colony SpaceX will have to work together with NASA and the agency's international partners and other commercial space companies. Several companies have already begun designing concepts for Mars habitats and have proposed orbital outposts similar to NASA's Lunar Gateway, which could serve as a waypoint for Starship and reduce the amount of fuel needed for return trips to Earth.

As per the passage, what fuel will be used to power the Starship rocket while returning from Mars?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 60 After those first two cargo missions, SpaceX will launch two manned missions alongside two additional cargo-only flights to begin setting up a propellant production plant. At that plant, water and carbon dioxide will be converted into liquid methane and liquid oxygen, which fuel the rocket's engines. it is obvious that both liquid methane and liquid oxygen will be used to power the Starship rocket while returning from Mars. Liquid hydrogen is nowhere mentioned in the passage.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 61

Direction: Rearrange the following five sentences/ group of sentences A, B, C, D and E in the proper sequence to form a meaningful paragraph; then answer the questions given below them.

Which of the following should be the SECOND sentence after rearrangement?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 61 The given passage is about the well known monument Taj Mahal. Hence the first line should introduce the monument with regards to its builder and situation which is done in sentence B. This should be followed by any description of the building itself which is done by sentence C where it is mentioned the building material.

Sentence A and E which describes the various components of the building complex should come in next. Sentence A should be the third sentence as it states what is in the front of the monument and sentence E follows as it describes what is inside the monument. Sentence D is the last sentence of the passage. The correct order is BCAED.

Hence, the correct answer is C.

IPMAT Mock Test - 9 (New Pattern) - Question 62

Direction: In this question, a part of the sentence is made bold. Below are given alternatives to the bold part at (A), (B), and (C) which may improve the sentence. Choose the correct alternative. In case no correction is needed, mark (D) as your answer.

Bhavana is the only student by Kerala to rank among the 13 national toppers who secured 499 marks.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 62 Preposition 'by' is incorrect here, thus the phrase needs replacement.

Here relation between student and his/her native place is described, thus the only preposition which describes belongingness is "from".

Correct sentence: Bhavana is the only student from Kerala to rank among the 13 national toppers who secured 499 marks.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 63

Direction: In this question, a part of the sentence is made bold. Below are given alternatives to the bold part at (A), (B), and (C) which may improve the sentence. Choose the correct alternative. In case no correction is needed, mark (D) as your answer.

The article explores the problem and the consequences damage arises out of dumping about 5 to 13 million tonnes of plastic into the ocean each year.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 63 The original sentence is incorrect.

Reason: The given part is grammatically as well as contextually incorrect as two nouns ‘consequences’ and ‘damage’ are coming together and making no sense. Instead of ‘consequences’ the adjective ‘consequential’ would make sense in the given context of the sentence.

Besides, usage of the second verb ‘arises’ is also ungrammatical here.

• Ex. My mother is next to the lady wears the red hat. (Incorrect)

• Ex. My mother is next to the lady wearing the red hat. (Correct)

Instead of ‘arises’, present participle ‘arising’ should be used here.

Clearly, among the given choices option (C) replaces the bold part most appropriately.

The sentence after replacement becomes:

The article explores the problem and the consequential damage arising out of dumping about 5 to 13 million tonnes of plastic into the ocean each year.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 64

Direction: In this question, a part of the sentence is made bold. Below are given alternatives to the bold part at (A), (B), and (C) which may improve the sentence. Choose the correct alternative. In case no correction is needed, mark (D) as your answer.

A comedian analyzes the mundane from a variety of angles and find the thread among two points.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 64 The original sentence is incorrect.

Reason: The verb ‘find’ is not in agreement with the subject ‘A comedian’ which is singular in number. Besides, ‘for two points’ usage of ‘among’ is erroneous. Instead of ‘among’ ‘between’ must be used to make the sentence grammatically correct.

Clearly, among the given choices option (B) replaces the bold part most appropriately.

The sentence after replacement becomes:

A comedian analyzes the mundane from a variety of angles and finds the thread between two points.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 65

Direction: In each question a sentence is given followed by a blank. You are provided with three fragments I, II and III. You have to identify which statement/statements can carry forward the given sentence in the most logical way so as to make the sentence coherent and contextually correct.

________ shifting further attention to security, rather than the economy.

I. Cyber security has become an increasingly large problem for major financial institutions, prompting major investments and has led to shifting further attention to security, rather than the economy.

II. One indication that the nation is worried about its relationship with USA is the increasing militarization which has led to shifting attention to security, rather than economy.

III. Recent racial tensions and conflict in Rakhine as well as international pressure on human rights are shifting further attention to security, rather than the economy.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 65 I. Cyber security has become an increasingly large problem for major financial institutions, prompting major investments and has led to shifting further attention to security, rather than the economy.

This is grammatically correct but does not really make sense. Cyber security is an issue for financial Institutions but saying their attention has shifted away from economy sounds illogical.

So, this is incorrect.

II. One indication that the nation is worried about its relationship with USA is the increasing militarization which has led to shifting attention to security, rather than economy.

This is correct.

III. Recent racial tensions and conflict in Rakhine as well as international pressure on human rights are shifting further attention to security, rather than the economy.

This is correct.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 66

Direction: In each question a sentence is given followed by a blank. You are provided with three fragments I, II and III. You have to identify which statement/statements can carry forward the given sentence in the most logical way so as to make the sentence coherent and contextually correct.

___________ the monsoon never recovered from the stuttered start which saw progress stall for over 10 days off the western coast.

I. Although rainfall over the entire country falls under the normal category,

II. Just as the distribution of rain has been in sync with IMD scientists' forecast,

III. There is an increasing trend in monsoon rainfall and decrease in post-monsoon rainfall incidentally due to the fact that

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 66 Statement I: Although rainfall over the entire country falls under the normal category, the monsoon never recovered from the stuttered start which saw progress stall for over 10 days off the western coast.

This is correct contextually and grammatically.

Statements II: Just as the distribution of rain has been in sync with IMD scientists' forecast, the monsoon never recovered from the stuttered start which saw progress stall for over 10 days off the western coast.

This has no meaning.

Statements III: There is an increasing trend in monsoon rainfall and decrease in post-monsoon rainfall incidentally due to the fact that the monsoon never recovered from the stuttered start which saw progress stall for over 10 days off the western coast.

This has no meaning.

Only statement I is correct.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 67

Direction: In each question a sentence is given followed by a blank. You are provided with three fragments I, II and III. You have to identify which statement/statements can carry forward the given sentence in the most logical way so as to make the sentence coherent and contextually correct.

Although annual inflation rate has hovered on the lower side of 6%, _______.

I. it has steadily been trending upwards since 2015.

II. the Central Bank considers those readings to be consistent with its goal of 5-7%.

III.growth forecast has been reduced to 6% from 6.3%.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 67 The statement states that the annual inflation rate has been low. It starts with 'although' which implies the next statement should be in contradiction with the one given.

Statement I: Although annual inflation rate has hovered on the lower side of 6%, it has steadily been trending upwards since 2015.

The first statement says inflation has been rising since 2015. This means that although the annual inflation is lower this year yet, as compared to the years since 2015, it has risen. This makes sense and is correct.

Statement II: Although annual inflation rate has hovered on the lower side of 6%, the Central Bank considers those readings to be consistent with its goal of 5-7%.

Statement II says the Central Bank considers those readings to be consistent with its goal of 5-7%.This also looks consistent with the context.

Statement III: Although annual inflation rate has hovered on the lower side of 6%, growth forecast has been reduced to 6% from 6.3%.

The last statement, however, does not match with the original statement. When inflation is low, growth slows down. So both the statements are in agreement with each other rather than contradiction.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 68

Directions: The following question has two blanks, each blank indicating that something has been omitted. Choose the set of words for each blank that best fits in the context of the sentence.

Basic principles of credit _____________ and monitoring are obviated in PSBs and must be sharpened to _____________ defects of capital, business purpose and character.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 68 The word “monitoring” indicates that the sentence refers to ‘credit review.’ In the context of the sentence, the words that are suitable for the first blank are “assessment”, “evaluation” and appraisal”. So, option (A) is eliminated.

In order to eliminate the “defects of capital”, the shortcomings must first be identified and analyzed. The only word that aptly conveys this meaning is “diagnose”. "Emphasize" or "clarify" defects does not indicate this meaning and this eliminates options (B) and (C) as well.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 69

Directions: The following question has two blanks, each blank indicating that something has been omitted. Choose the set of words for each blank that best fits in the context of the sentence.

Promoters of MSMEs must have _____________ in the game to ensure that funds — venture capital, as well as bank loans made liberal by fiat — are not _____________ off.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 69 In the context of the sentence, the word that is most suitable for the first blank is “skin” and that for the second blank is “siphoned”. All the other options are grammatically and contextually incorrect.

Skin in the game (Idiom)

Meaning: to be at risk financially because you have invested in something that you want to happen

E.g.: You take more ownership of something when you have some skin in the game.

Siphoned off (Phrasal verb)

Meaning: to gradually steal money or goods, usually from a business or government

E.g.: Over the years, she siphoned off hundreds of thousands of dollars from various accounts.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 70

Directions: The following question has two blanks, each blank indicating that something has been omitted. Choose the set of words for each blank that best fits in the context of the sentence.

Buildings must ______ be examined and certified for safety, and those that fail to _____ to the NBC must be demolished.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 70 The sentence refers to the fact that buildings should be examined ‘from time to time’. In the context of the sentence, "intermittently" or "periodically" can fit the first blank and this eliminates options (A) and (C). Further, as buildings that fail ‘obey’ the standards must demolished, "conform" is the most appropriate choice for the second blank. Thus, option (B) gets eliminated as well.

Buildings must periodically be examined and certified for safety, and those that fail to conform to the NBC must be demolished.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 71

Direction: Find out which part has an error and mark it as your answer. If there is no error, mark ‘No error’ as your answer.

Everybody understands that (A)/ Australian continent is reeling under the worst B)/ forest fires of its history, don't they? C)/ No error D).

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 71 The given sentence has no error.

There are some nouns that are singular in a sense but take plural question tag, e.g:- Everyone, each, every, nobody, none, everybody, no one, etc.

The pattern of a question tag is:

• I. Auxiliary (e.g. do, did, is etc.) + not + subject (if the statement is affirmative)

• II. Auxiliary (e.g. do, did, is, etc.) + subject (if the statement is negative)

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 72

Direction: Read the passage given below and answer the questions that follow by selecting the correct most appropriate options.

1. Each drop represents a little bit of creation and of life itself. When the monsoon brings to northern India the first rains of summer, the parched earth opens its pores and quenches its thirst with a hiss of ecstasy. After baking in the sun for the last few months, the land looks cracked, dusty and tired. Now, almost overnight, new grass springs up, there is renewal everywhere, and the damp earth releases a fragrance sweeter than any devised by man.

2. Water brings joy to earth, grass, leaf bud, blossom, insect, bird, animal and the pounding heart of man. Small children run out of their homes to romp naked in the rain. Buffaloes, which have spent the summer listlessly around lakes gone dry, now plunge into heaven of muddy water. Soon the lakes and rivers will overflow with the monsoon’s generosity, Trekking in the Himalayan foothills, I recently walked for kilometres without encountering habitation. I was just scolding myself for not having brought along a water- bottle when I came across a patch of green on a rock face. I parted a curtain of tender maidenhair fern and discovered a tiny spring issuing from the rock-nectar for the thirsty traveller.

3. I stayed there for hours, watching the water descend, drop by drop, into a tiny casement in the rocks. Each drop reflected creation. That same spring, I later discovered, joined other springs to form a. swift, tumbling. stream, which went cascading down the hill into other streams until, in the plains, it became part of a river. And that river flowed into another mightier river that kilometres later emptied into the ocean. Be like water, taught Laotzu, philosopher ‘and founder of Taoism. Soft and limpid, it finds its way through, over or under any obstacle. It does not quarrel; it simply moves on.

To become part of a river, a tiny drop has to:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 72 According to the passage, 'I stayed there for hours, watching the water descend, drop by drop, into a tiny casement in the rocks.'

From the lines, it is evident that every drop of rain has its own identity which it represents and to become a part of the river it has to merge its identity.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 73

Direction: Read the passage given below and answer the questions that follow by selecting the correct most appropriate options.

1. Each drop represents a little bit of creation and of life itself. When the monsoon brings to northern India the first rains of summer, the parched earth opens its pores and quenches its thirst with a hiss of ecstasy. After baking in the sun for the last few months, the land looks cracked, dusty and tired. Now, almost overnight, new grass springs up, there is renewal everywhere, and the damp earth releases a fragrance sweeter than any devised by man.

2. Water brings joy to earth, grass, leaf bud, blossom, insect, bird, animal and the pounding heart of man. Small children run out of their homes to romp naked in the rain. Buffaloes, which have spent the summer listlessly around lakes gone dry, now plunge into heaven of muddy water. Soon the lakes and rivers will overflow with the monsoon’s generosity, Trekking in the Himalayan foothills, I recently walked for kilometres without encountering habitation. I was just scolding myself for not having brought along a water- bottle when I came across a patch of green on a rock face. I parted a curtain of tender maidenhair fern and discovered a tiny spring issuing from the rock-nectar for the thirsty traveller.

3. I stayed there for hours, watching the water descend, drop by drop, into a tiny casement in the rocks. Each drop reflected creation. That same spring, I later discovered, joined other springs to form a. swift, tumbling. stream, which went cascading down the hill into other streams until, in the plains, it became part of a river. And that river flowed into another mightier river that kilometres later emptied into the ocean. Be like water, taught Laotzu, philosopher ‘and founder of Taoism. Soft and limpid, it finds its way through, over or under any obstacle. It does not quarrel; it simply moves on.

The tiny spring issuing from the rock is hidden by:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 73 According to the passage, 'I parted a curtain of tender maidenhair fern and discovered a tiny spring issuing from the rock-nectar for the thirsty traveller.'

Upon the perusal of the above statement, it can be concluded that the tiny spring issuing from the rock is hidden by maidenhair fern.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 74

Direction: Complete the paragraph given below.

Malaria is a life-threatening mosquito-borne blood disease caused by a Plasmodium parasite. It is transmitted to humans through the bite of the Anopheles mosquito. Once an infected mosquito bites a human, the parasites multiply in the host's liver before infecting and destroying red blood cells. ______. However, some countries lack the resources to do this treatment effectively.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 74 It is clear from the sentence following the blank that the preceding sentence should relate to treatment of malaria. Thus, option (B) is the correct option. The other options are out of context and irrelevant.

The complete paragraph- Malaria is a life-threatening mosquito-borne blood disease caused by a Plasmodium parasite. It is transmitted to humans through the bite of the Anopheles mosquito. Once an infected mosquito bites a human, the parasites multiply in the host's liver before infecting and destroying red blood cells. In some places, malaria can be treated and controlled with early diagnosis. However, some countries lack the resources to do this treatment effectively.

Hence, the correct option is (B).

IPMAT Mock Test - 9 (New Pattern) - Question 75

Direction: In the following question, the given sentence has four parts marked (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 'No error (S)' as your answer.

If you describe someone as a maverick, (P) / you mean that he is unconventional and independent (Q) / and does not think or behave in the same way as other people. (R) / No error (S)

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 75 The correct sentence: If you describe someone as a maverick, you mean that he is unconventional and independent and does not think or behave in the same way that other people.
• Replace 'as' with 'that in' part R.

• We often use that after the demonstrative pronoun the same. Ex: This is the same man that deceived me.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 76

Direction: In the following question, the given sentence has four parts marked (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 'No error (S)' as your answer.

The consequence of (P) / his carelessness was (Q) / that the game was lost. (R) / No error (S)

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 76 The word that acts as 'a subordinate conjunction' and the tense of the clause after that should be the same as the tense of the main clause.

Here, was is correct in both of the clauses.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 77

As NASA works toward its long-term goal of establishing a human settlement on Mars, SpaceX is fleshing out its plans to help NASA make that dream a reality.

The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Before Starship can launch to Mars, it will start off launching commercial satellites as early as 2021, followed by a manned flight around the moon in 2023. Although SpaceX has not given a timeline for its first missions to Mars, SpaceX founder Elon Musk has said that the first Mars base could be up and running in 2028. And while Musk shared some eye-catching artist illustrations depicting what he called "Mars Base Alpha" as an intricate network of buildings and infrastructure, SpaceX's plans for the Red Planet are not quite that extensive.

"SpaceX very much is a transportation company," Paul Wooster, the principal Mars development engineer at SpaceX, said during a speech at the Humans to Mars Summit in Washington in May. He explained that SpaceX plans to build whatever infrastructure is necessary to support the company's Starship flights to and from Mars; that could include landing pads and refueling stations for the reusable rockets.

For its very first Mars missions, SpaceX will land at least two unmanned cargo ships on the Red Planet before sending any humans there, Wooster said. Those cargo missions would bring supplies, such as life- support systems and power generators that the first astronauts on Mars will need when they set up camp.

The first unmanned Mars missions will also be tasked with confirming the presence of natural resources that can provide fuel for future two-way missions to the Red Planet, Wooster said. SpaceX wants to use water ice from the planet's surface and carbon dioxide from the Martian atmosphere to refuel Starships on Mars, enabling the rockets to return to Earth.

After those first two cargo missions, SpaceX will launch two manned missions alongside two additional cargo-only flights to begin setting up a propellant production plant. At that plant, water and carbon dioxide will be converted into liquid methane and liquid oxygen, which fuel the rocket's engines.

So, while SpaceX intends to set up a transportation system for humans and cargo traveling to the Red Planet, the company won't be building an entire Mars base on its own. Musk has laid out his vision to create a million-person colony on Mars, but to establish that colony SpaceX will have to work together with NASA and the agency's international partners and other commercial space companies. Several companies have already begun designing concepts for Mars habitats and have proposed orbital outposts similar to NASA's Lunar Gateway, which could serve as a waypoint for Starship and reduce the amount of fuel needed for return trips to Earth.

According to Elon Musk, when could the first Mars base be operational?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 77 Although SpaceX has not given a timeline for its first missions to Mars, SpaceX founder Elon Musk has said that the first Mars base could be up and running in 2028.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 78

As NASA works toward its long-term goal of establishing a human settlement on Mars, SpaceX is fleshing out its plans to help NASA make that dream a reality.

The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Before Starship can launch to Mars, it will start off launching commercial satellites as early as 2021, followed by a manned flight around the moon in 2023. Although SpaceX has not given a timeline for its first missions to Mars, SpaceX founder Elon Musk has said that the first Mars base could be up and running in 2028. And while Musk shared some eye-catching artist illustrations depicting what he called "Mars Base Alpha" as an intricate network of buildings and infrastructure, SpaceX's plans for the Red Planet are not quite that extensive.

"SpaceX very much is a transportation company," Paul Wooster, the principal Mars development engineer at SpaceX, said during a speech at the Humans to Mars Summit in Washington in May. He explained that SpaceX plans to build whatever infrastructure is necessary to support the company's Starship flights to and from Mars; that could include landing pads and refueling stations for the reusable rockets.

For its very first Mars missions, SpaceX will land at least two unmanned cargo ships on the Red Planet before sending any humans there, Wooster said. Those cargo missions would bring supplies, such as life- support systems and power generators that the first astronauts on Mars will need when they set up camp.

The first unmanned Mars missions will also be tasked with confirming the presence of natural resources that can provide fuel for future two-way missions to the Red Planet, Wooster said. SpaceX wants to use water ice from the planet's surface and carbon dioxide from the Martian atmosphere to refuel Starships on Mars, enabling the rockets to return to Earth.

After those first two cargo missions, SpaceX will launch two manned missions alongside two additional cargo-only flights to begin setting up a propellant production plant. At that plant, water and carbon dioxide will be converted into liquid methane and liquid oxygen, which fuel the rocket's engines.

So, while SpaceX intends to set up a transportation system for humans and cargo traveling to the Red Planet, the company won't be building an entire Mars base on its own. Musk has laid out his vision to create a million-person colony on Mars, but to establish that colony SpaceX will have to work together with NASA and the agency's international partners and other commercial space companies. Several companies have already begun designing concepts for Mars habitats and have proposed orbital outposts similar to NASA's Lunar Gateway, which could serve as a waypoint for Starship and reduce the amount of fuel needed for return trips to Earth.

As per the passage, which rocket is used by SpaceX to send cargo to the International Space Station?

I. Falcon 9

II. Falcon Heavy

III. Starship

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 78 The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Hence, the correct option is (A).

IPMAT Mock Test - 9 (New Pattern) - Question 79

As NASA works toward its long-term goal of establishing a human settlement on Mars, SpaceX is fleshing out its plans to help NASA make that dream a reality.

The private spaceflight company, which regularly launches cargo to the International Space Station with the Falcon 9 rocket and will soon launch astronauts up there, is currently building an interplanetary spacecraft for Mars. Known as Starship, the rocket-spacecraft combo will be able to launch 100 passengers and large amounts of cargo to and from the Red Planet.

Before Starship can launch to Mars, it will start off launching commercial satellites as early as 2021, followed by a manned flight around the moon in 2023. Although SpaceX has not given a timeline for its first missions to Mars, SpaceX founder Elon Musk has said that the first Mars base could be up and running in 2028. And while Musk shared some eye-catching artist illustrations depicting what he called "Mars Base Alpha" as an intricate network of buildings and infrastructure, SpaceX's plans for the Red Planet are not quite that extensive.

"SpaceX very much is a transportation company," Paul Wooster, the principal Mars development engineer at SpaceX, said during a speech at the Humans to Mars Summit in Washington in May. He explained that SpaceX plans to build whatever infrastructure is necessary to support the company's Starship flights to and from Mars; that could include landing pads and refueling stations for the reusable rockets.

For its very first Mars missions, SpaceX will land at least two unmanned cargo ships on the Red Planet before sending any humans there, Wooster said. Those cargo missions would bring supplies, such as life- support systems and power generators that the first astronauts on Mars will need when they set up camp.

The first unmanned Mars missions will also be tasked with confirming the presence of natural resources that can provide fuel for future two-way missions to the Red Planet, Wooster said. SpaceX wants to use water ice from the planet's surface and carbon dioxide from the Martian atmosphere to refuel Starships on Mars, enabling the rockets to return to Earth.

After those first two cargo missions, SpaceX will launch two manned missions alongside two additional cargo-only flights to begin setting up a propellant production plant. At that plant, water and carbon dioxide will be converted into liquid methane and liquid oxygen, which fuel the rocket's engines.

So, while SpaceX intends to set up a transportation system for humans and cargo traveling to the Red Planet, the company won't be building an entire Mars base on its own. Musk has laid out his vision to create a million-person colony on Mars, but to establish that colony SpaceX will have to work together with NASA and the agency's international partners and other commercial space companies. Several companies have already begun designing concepts for Mars habitats and have proposed orbital outposts similar to NASA's Lunar Gateway, which could serve as a waypoint for Starship and reduce the amount of fuel needed for return trips to Earth.

Which of the following is/are not inferred by the term “Red Planet”?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 79 For its very first Mars missions, SpaceX will land at least two unmanned cargo ships on the Red Planet before sending any humans there, Wooster said.

The entire passage talks about Mars and journey to Mars. Nowhere is Venus or Jupiter mentioned. “Red Planet”, in this passage refers to Mars only.

Hence, the correct option is (D).

IPMAT Mock Test - 9 (New Pattern) - Question 80

Direction: Complete the paragraph given below.

'How did you relax on Sunday?' 'What was your last holiday like?' Simple though these questions sound, your next job might depend on how you answer them. _______. Instead of the usual laborious online questionnaires or psychometric tests, some recruiters are asking job candidates to call a phone number, key in a personal pin code and respond to a string of questions posed by a computer.

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 80 The correct answer is 'And it won't be a human you're talking to, but a computer'.

The given passage talks about how some recruiters are exploring novel technological techniques to assess the suitability of candidates.

Option (C): i.e., 'And it won't be a human you're talking to, but a computer' is the correct answer because it adds the required meaning and completes the passage.

Option (A): i.e., 'How you answer is always more important than what your answer is' is not the answer even though it is mildly related to the passage because it draws the attention to the questions asked in the interview rather than the changing recruitment process itself.

Option (B): 'Computers are changing the world' do not contribute any meaning to the passage.

Option (D): i.e., 'It's how you say it' are both very vague sentences and do not contribute any meaning to the passage.

The complete paragraph- 'How did you relax on Sunday?' 'What was your last holiday like?' Simple though these questions sound, your next job might depend on how you answer them. And it won't be a human you're talking to, but a computer. Instead of the usual laborious online questionnaires or psychometric tests, some recruiters are asking job candidates to call a phone number, key in a personal pin code and respond to a string of questions posed by a computer.

Hence, the correct option is (C).

IPMAT Mock Test - 9 (New Pattern) - Question 81

Time taken by two trains running in opposite directions to cross a man standing near a pole is 48 seconds and 38 seconds respectively and it took 42 seconds for the trains to cross each other. What is the ratio of the speed of the trains?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 81 Both trains running in the opposite direction

Both trains cross the man in 48 seconds and 38 seconds

Speed = Distance/Time

Relative speed = when train in opposite direction = (x + y)m/s

Let the speed of trains be x m/s and y m/s respectively,

Length of the first train = speed × time = 48x

Length of the second train = speed × time = 38y

(48x + 38y)/(x + y) = 42

⇒ 48x + 38y = 42x + 42y

⇒ 6x = 4y

⇒ x/y = 2/3

∴ The ratio of the speed of the trains is 2 : 3

Hence, the correct answer is 2 : 3.

IPMAT Mock Test - 9 (New Pattern) - Question 82

If a is a perfect square, what is the value of a, given that ax = 1/8 and x = 3/2[(log2 a) - 3]?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 82 Given, ax = 1/8, x = 3/2[(log2 a) - 3]

⇒ a3/2[(log2 a) - 3] = ⅛

Applying log to base 2 in both sides, we get,

3/2[(log2 a) - 3] log2 a = log2(⅛)

⇒ 3/2[(log2 a) - 3] log2 a = -3

Let log2 a = x

⇒ (x - 3) x = -2

⇒ x2 -3x + 2 = 0

⇒ (x - 1)(x - 2) = 0

⇒ x = 1 or 2

⇒ log2 a = 1 or log2 a = 2

⇒ a = 2 or a = 4

As given 'a' is a perfect square ⇒ a = 4

Hence, the correct answer is 4.

IPMAT Mock Test - 9 (New Pattern) - Question 83

A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 83 A : B : : 3 : 2

B : C :: 3 : 2

Let B = X

⇒A = 3X/2

and,

C = 2X/3

⇒ A + B + C = 342

⇒ 3X/2 + X + 2X/3 = 342

⇒ 9X + 6X + 4X = 342 × 6

⇐ 19X = 342 × 6

⇒ X = 108

⇒ Runs scored by A = (3(108))/2 = 162

Hence, the correct answer is 162.

IPMAT Mock Test - 9 (New Pattern) - Question 84

If P and Q be two sets such that P ∪ Q = P, then P ∩ Q will be:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 84 Intersection

Let A and B be two sets. The intersection of A and B is the set of all those elements which are present in both sets A and B.

The intersection of A and B is denoted by A ∩ B

i.e., A ∩ B = {x : x ∈ A and x ∈ B}

The Venn diagram for intersection is as shown below:

Union:

Let A and B be two sets. The union of A and B is the set of all those elements which belong to either A or B or both A and B.

The union of A and B is denoted by A ∪ B.

i.e., A ∪ B = {x : x ∈ A or x ∈ B}

The Venn diagram for the union of any two sets is shown below:

A ∪ B = A + B - A ∩ B

As we know,

P ∪ Q = P + Q - P ∩ Q

Putting the values given in the question,

P = P + Q - P ∩ Q

P ∩ Q = Q

Hence, the correct answer is Q.

IPMAT Mock Test - 9 (New Pattern) - Question 85

If n = (2017)! then what is equal to?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 85 Given: n = (2017)!

To find:

Using

= logn(2017!)

= logn(n) = 1

Hence, the correct answer is 1.

IPMAT Mock Test - 9 (New Pattern) - Question 86

The areas of three adjacent faces of a cuboidal tank are 3 m2,12 m2 and 16 m2. The capacity of the tank, in litres, is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 86 Given

Areas of 3 adjacent faces of cuboidal tank = 3 m2,12 m2,16 m2

As we know,

1 m3 = 1000 Litres

If areas of 3 adjacent faces of a cuboid are x,y and z respectively, then

Volume of cuboid =

Areas of 3 adjacent faces of cuboidal tank = 3 m2, 12 m2, 16 m2

Volume of cuboid =

Capacity of tank =

Capacity of tank = 24 m3

1 m3=1000 Litres

Capacity of tank = 24 × 1000 lites

Capacity of tank = 24000 litres

∴ The capacity of the tank, (in litres) is 24000 litres.

Hence, the correct answer is 24000.

IPMAT Mock Test - 9 (New Pattern) - Question 87

If the number 2632A4878 is completely divisible by 9 . Find the possible value of ' A′?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 87 Given,

Number 2632A4878 is divisible by 9.

The Sum of all digits should be divisible by 9.

The number is 2632 A4878.

= 2 + 6 + 3 + 2 + A + 4 + 8 + 7 + 8

= 40 + A

Put A = 5

= 40 + 5 = 45

⇒ 45 is divisible by 9.

The value of ' A′ is 5.

Hence, the correct answer is 5.

IPMAT Mock Test - 9 (New Pattern) - Question 88

The range of the real-valued function f(x) = is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 88 Given: f(x) =

Let, y2 = 9 - x2

⇒ x2 = 9 - y2

x = ...(1)

We know that for any function f(x)= ,y ≥ 0…. (A)

From equation (1).

9 − y2 ≥ 0

y2 − 9 ≤ 0

⇒ (y + 3)(y − 3) ≤ 0

⇒ −3 ≤ y ≤ 3

But from equation (A) y must be positive, then, y = [0, 3].

Range = the value of y = [0, 3]

Hence, the correct answer is [0, 3].

IPMAT Mock Test - 9 (New Pattern) - Question 89

Point Q(b,−1) is the midpoint of segment EF. Co-ordinates of point E are (−4, a) and point F are (2,0). What is the value of a and b?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 89 Given,

Point Q(b,−1) is the midpoint of segment with endpoints E(−4, a) and F(2, 0).

As we know,

The midpoint of a segment with endpoints (x1, y1) and (x2, y2) is given by,

On comparing, we get

b = −1, a = −2

Hence, the correct answer is a = -2, b = -1.

IPMAT Mock Test - 9 (New Pattern) - Question 90

The coefficient of the term independent of x in the expansion of is

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 90 The (r+1) th term in the expansion of is given by

For term to be independent of x,

5 - (5r/2) = 0

⇒ r = 2

Substituting the values in (1) we get:

T3 = (−1)210C23−3= 10(9)/2(27)

= 5/3

Hence, the correct answer is 5/3.

IPMAT Mock Test - 9 (New Pattern) - Question 91

The sum of radii spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112π. What is the ratio of the volumes of A and B?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 91 Given

The Difference between the surface area of the spheres is 112π

The sum of the radii of spheres of A and B is 14 cm

As we know,

Area of a sphere =4πr2 (where ' r′ is the radius of the sphere)

Volume of a sphere

= (4/3)πr3

Let the radius of the circle A be ′a′

Let the radius of the circle B be ' b '

Difference of the surface area of the circle is 112π

4πa2 − 4πb2 = 112π

(a + b)⋅(a − b) = 28

a − b = 2 [Given, (a + b) = 2]

a + b = 14… (i)

a − b = 2… (ii)

Solving equation (i) and (ii)

⇒ a = 8 and b = 6

So,

Volume of sphere with radius a cm : volume of sphere with radius b cm=4πa3:4πb3

= 83:63

= 512:216

= 64:27

∴ The ratio of the volume will be 64:27.

Hence, the correct answer is 64:27.

IPMAT Mock Test - 9 (New Pattern) - Question 92

A train 1350 m long takes 135 seconds to cross a man running at a speed of 5kmph in a direction same to that of the train. What is the speed of the train?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 92 The length of the train = 1350 m

Speed of men = 5 km/h

Time to cross the men = 135 seconds

Let the speed of the train be x km/h

Relative speed = (x − 5)km/h

⇒ (x − 5) = (1350 × 18)/(135 × 5)

⇒ x − 5 = 36

⇒ x = 36 + 5 = 41 km/h

So, 41 km/h is the speed of train

Hence, the correct answer is 41 km/h.

IPMAT Mock Test - 9 (New Pattern) - Question 93

How many words can be formed with the letters of the word VOWELS that begin with O and end with E?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 93 We know that

Number of arrangement of n different objects is given by n!

n! = n×(n−1)×…×1

The word VOWELS contains 6 letters, in which all the different letters occur only once.

Now, after fixing O in first place and E in the last place, we have only 4 letters.

∴ Number of words =4!=24.

Hence, the correct answer is 24.

IPMAT Mock Test - 9 (New Pattern) - Question 94

If f(x) = tan−1⁡[sin⁡x/1+cos⁡x], then what is the first derivative of f(x)?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 94 Let us express (sinx/1+cosx) in terms of tan⁡x.

And, the first derivative of

Hence, the correct answer is 1/2.

IPMAT Mock Test - 9 (New Pattern) - Question 95

It takes 10 hours for a person to travel a distance. If he reduces his speed by 20%, then what is the percentage increase in the time taken to cover the same distance?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 95 Given

Let, speed be x km/hour.

It takes 10 hours to travel the distance.

That means total distance = 10x km

Latter speed =

x(100 – 20)/100 = 4x/5 km/hour

Time taken to cover the whole distance at this speed is 10x/(4x/5) = 12.5 hour

Time increase = (12.5 – 10) hours = 2.5 hours

Percentage increase in time taken =

(2.5/10) × 100 = 25%

Hence, the correct answer is 25%.

IPMAT Mock Test - 9 (New Pattern) - Question 96

In a football World Cup several teams participated. If the last place team in the point table receive \$40,000 as a prize money and the award increases by \$2500 for the successive finishing places. The champion team receives \$65,000. Find how many teams participated in the world cup?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 96 Given

Award increases by \$2500 for the successive finishing places.

Prizes received by the teams in increasing order are, \$40,000, \$42500, \$4500, \$47500,

This is an A.P. with a = 40,000, d = 2500 and I = 65,000

Let the number of terms be n. Then,

an = 65000

a + (n − 1)d = 65000

⇒ 40000 + (n − 1) × 2500 = 65000

⇒ (n − 1) × 2500 = 65000 − 40000

⇒ (n − 1) = 25000/2500

⇒ n − 1 = 10

⇒ n = 10 + 1

n = 11

∴ 11 teams participated in Football World Cup.

Hence, the correct answer is 11.

IPMAT Mock Test - 9 (New Pattern) - Question 97

If 10Pr = 5040, then r = ?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 97 We know that

nPr = n!/(n−r)! = n × (n − 1)×….×(n−r+1)

Given that:

10Pr = 5040

⇒ 10Pr = 10 × 504

⇒ 10Pr = 10 × 9 × 56

⇒ 10Pr = 10 × 9 × 8 × 7

⇒ 10Pr = 10 × (10 − 1) × (10 − 2) × (10 − 4 + 1)

On comparing the above expression with nPr = n × (n − 1)×……×(n − r + 1), we get:

r = 4

Hence, the correct answer is 4.

IPMAT Mock Test - 9 (New Pattern) - Question 98

A person bought two bicycles for Rs. 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get 5 Rs. more. The difference in the cost price of the two bicycles was:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 98 Total cost price Rs. 1600 Let CP1 = 600 and CP2 = 1000

Case I, When he sells first at 10% profit and second at 20% profit:

∴ Profit on CP1 = 10% on 600 = Rs. 60

Profit on CP2 = 20% on 1000 = Rs. 200

Total Profit = ₹ 260 ...(i) Case II, When he sells first at 20% profit and second at 10% profit:

∴ Profit on CP1 = 20% on 600 = Rs. 120

Profit on 2 = 10% on 1000 = Rs. 100

Total Profit = Rs. 220...(ii)

Difference in Profit [(i)−(ii)} = 260 − 220 Rs.

= Rs. 40

When difference in profit is Rs. 40, then difference in cost price would be Rs. (1000 − 600) = Rs. 400.

When difference in profit is Rs. 5, then difference in cost price would be:

Rs. =((400/40) × 5)

= Rs. 50.

Hence, the correct answer is 50.

IPMAT Mock Test - 9 (New Pattern) - Question 99

A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 99 We know that,

Dividend = (Quotient × Divisor) + Remainder

Let the quotient is k.

Dividend = 2567k + 147

When the number is divided by 17.

(2567k + 147/17) = 151k + (147/17)

While solving we get quotient as 8 and remainder = 11

∴ The required remainder is 11.

Hence, the correct answer is 11.

IPMAT Mock Test - 9 (New Pattern) - Question 100

If f: R → R and g: R → R are two mappings defined as f(x) = 2x and g(x) = x2 + 2, then the value of (f + g)(2) is:

Detailed Solution for IPMAT Mock Test - 9 (New Pattern) - Question 100 Given, f(x) = 2x, g(x) = x2 + 2

then, (f + g)(2) = f(2) + g(2)

= (2 × 2) + (22 + 2)

= 4 + 6

= 10

Hence, the correct answer is 10.

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