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Each question is followed by two statements, A and B. Select the correct option based on the following instructions:
Mark (1) if the question can be answered by one of the statements, but not by the other.
Mark (2) if the question can be answered by using either statement, independently of the other.
Mark (3) if the question can be answered by using both statements together, but not by either statement alone.
Mark (4) if the question cannot be answered by either of the statements.
Is x an even number?
A. x!  y! = y x y!
B. y is a multiple of 6.
x! = y! + y x y! x!
= (y + 1) x y x!
= (y + 1)!
Thus, x and y are consecutive integers.
However, one cannot say whether x is even or odd.
Thus, the question cannot be answered using statement A alone.
Using Statement B alone:
Thus, the question can be answered using both the statements together but not by using either statement alone.
Hence, option 3.
A, B and C were playing card games. According to rules, the loser of each game would pay the other two players twice the amount that they already had. After three games each had Rs. 27. If each of them won at least one match, then what is the maximum amount (in Rs.) that A could have had before the first game?
Each of A, B and C won at least one match out of 3 matches.
Hence they should have won exactly one match.
After round 3 each of them had Rs. 27 with them.
Let C loses round 3, thus he would have paid the other two players twice the amount which they already have i.e., he would have tripled the money of A and B.
Thus, before round 3 or at the end of round 2, A and B would have got Rs. 9 with them while C would have got Rs. 63 with him.
Let B loses Round 2, thus he would have tripled the money of A and C.
Thus, before round 2 or at the end of round 1, A and C would have got Rs. 3 and Rs. 21 respectively while B would have got Rs. 57 with him.
Let A loses Round 1, thus he would have tripled the money of B and C.
Thus, before round 1 or at the beginning, B and C would have got Rs. 19 and Rs. 7 respectively while A would have got Rs. 55 with him.
Thus A would have got Rs. 55 at the beginning of the game.
Hence, option 1.
The amount of milk delivered by a milkman to a house is 98 litres over a period of 1 month. During this period, the average milk consumption in that house on weekdays (total 22 days) is 3 litres per day. Find the average daily consumption in that house on weekends, if the month is April.
Given:
So total milk delivered (and consumed) on weekends = 98  66 = 32 litres
Number of weekend days in April:
= Total days  Number of weekdays
= 30  22 = 8
Average milk consumption on weekends:
= 32/8
= 4 litres.
Hence, option 2.
If 15^{7k3} > 1; which of the following is true about k ?.
15^{7k3} > 1
► 15^{7k3} > 15^{0}
► 7k3 > 0
► k > 3/7
Hence, option 2.
What is the value of log_{6} 169 x log_{13} 6 x log_{7} 64 x log_{4} 49 ?
log_{6} 169 x log_{13} 6 x log_{7} 64 x log_{4} 49
= (log 13^{2} / log 6) x (log 6 / log 13) x (log 4^{3} / log 7) x (log 7^{2} / log 4)
= 2 x 1 x 3 x 2
= 12
Hence, option 3.
An amount increases to 1.4 times itself in a simple interest transaction. What is the simple interest earned (in Rs.) from an amount of Rs. 14,200 for the same period at the same rate of interest?
1.4x  x = x * p * n / 100
p * n = 40
Required simple interest:
= 14200 x 40 / 100
= 5680
Hence, option 3.
When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200 gms. What is the average weight (in kg) of these 59 students?
Let the average weight of the 59 students be A.
Therefore, the total weight of the 59 of them will be 59 A.
The questions states that when the weight of this student who left is added, the total weight of the class
= 59A + 45
When this student is also included, the average weight decreases by 0.2 kgs.
59A + 45 / 60 = A  0.2
⇒ 59A + 45 = 60A  12
⇒ 45 + 12 = 60A  59A
⇒ A = 57
The difference between the simple interest and compound interest earned on a sum placed for two years at 8% is Rs.30.72, when the interest is compounded annually. If the interest were to be compounded on a halfyearly basis, what would the difference in the two interest amount approximately be?
Consider annual compounding.
Interest for the first year is the same, irrespective of whether it is simple interest or compound interest.
Hence, the difference between the two interest amounts is due to the extra compound interest earned in the second year.
The C.l. earned in the first year is added to the original principal and this sum becomes the principal for the second year.
Hence, the situation is equivalent to placing (original principal + C.l. of first year (say x)) at 8% simple interest for one year.
Hence, effectively, Rs.30.72 is the simple interest earned by placing Rs. x at 8% S.l. for a year 30.72 = x(0.08) x = 384
This is also the S.l. earned by keeping the original principal at 8% for a year
Original principal = 384/0.08 = 4800 Hence, at halfyearly compounding, amount due at the end of 2 years = 4800[1 + (4/100)]^{4} = 5615.32
C.l. = 5615.32  4800 = Rs. 815.32
S.l. for Rs.4,800 at 8% for 2 years = (4800 x 8 x 2)/100 = Rs. 768
Required difference = 815.32  768 = Rs. 47.32
Hence, option 3.
Which of these is a possible value of (5√1024)^{3} + (4√2401)^{3} + (3√27)^{3}
The given expression is:
(5√1024)^{3} + (4√2401)^{3} + (3√27)^{3}
Now, (4)^{5} = 1024, (3)^{3} = 27 and (±7)^{4} = 2401
Hence, the given expression is of the form (4)^{3 }+ (±7)^{3} + (3)^{3} =  64 ± 343  27 = 252 or 434 Among these two values, only 252 is in the options.
Hence, option 2.
Answer the following question based on the information given below.
Josh wants to renovate his house. The renovation is in terms of flooring only. Certain rooms are to be floored with wood or Italian marble. The living room, bedroom and kitchen are rectangular in shape and measure 28 m by 25 m, 20 m by 18 m and 12 m by 10 m respectively. The living room is to be floored with wood. Also, he wants his bedroom and kitchen to be floored with Italian marble. The cost of flooring with Italian marble is 60% of the cost of flooring with wood which is Rs. 750 per sq m. The total area of his house is 1300 sq m. No other area is to be renovated in terms of flooring.
Q.The total cost of the wooden flooring is more than the total cost of Italian marble flooring by?
Cost of wooden flooring = Rs. 750 Cost of Italian marble flooring = 60% of 750 = Rs. 450
Area of the living room = 28 x 25 = 700 sq m
Area of the bedroom = 20 x 18 = 360 sq m
Area o f the kitchen = 12 x 10 = 120 sqm
Total cost of the wooden flooring = 700 x 750 = Rs. 5,25,000 Total cost of Italian marble flooring = (360 + 120) x 450 = Rs. 2,16,000
Required difference = 525000  216000 = Rs. 3,09,000
Hence, option 2.
Josh wants to renovate his house. The renovation is in terms of flooring only. Certain rooms are to be floored with wood or Italian marble. The living room, bedroom and kitchen are rectangular in shape and measure 28 m by 25 m, 20 m by 18 m and 12 m by 10 m respectively. The living room is to be floored with wood. Also, he wants his bedroom and kitchen to be floored with Italian marble. The cost of flooring with Italian marble is 60% of the cost of flooring with wood which is Rs. 750 per sq m. The total area of his house is 1300 sq m. No other area is to be renovated in terms of flooring.
Q. If the ceiling and the four walls of the bedroom are to be painted at the cost of Rs. 315 per sq m, what will be the cost of renovating the bedroom, including the cost of its flooring? Height of the bedroom is 12 m
Area of the bedroom with ceiling when the height of the bedroom is 12 m = 2(20 x 18 + 20 x 12 + 18 x 12)
= 2(360 + 240 + 216)
= 1632 sq m
Out of this, 360 sq.m on the floor has to have flooring.
Area to be painted = 1632  360 = 1272 sq.m
Total cost of painting = 1272 x 315 = Rs. 4,00,680
Total cost of flooring the bedroom = 360 * 450 = Rs. 1,62,000
Total cost of renovating the bedroom = 400680 + 162000 = Rs. 562680 Hence, option 4.
Josh wants to renovate his house. The renovation is in terms of flooring only. Certain rooms are to be floored with wood or Italian marble. The living room, bedroom and kitchen are rectangular in shape and measure 28 m by 25 m, 20 m by 18 m and 12 m by 10 m respectively. The living room is to be floored with wood. Also, he wants his bedroom and kitchen to be floored with Italian marble. The cost of flooring with Italian marble is 60% of the cost of flooring with wood which is Rs. 750 per sq m. The total area of his house is 1300 sq m. No other area is to be renovated in terms of flooring.
Q. If Josh wants to renovate (in terms of flooring only) onethird of the remaining area with Italian marble and the remaining with wood, how much will the total cost of flooring increase by?
Total area of the house = 1300 sq m Total area of the house oringinally to be renovated = 700 + 360 + 120 = 1180 sq m.
Remaining area of the house = 1300  1180 = 120 sq m
Total cost of flooring onethird of the required area with Italian marble = 40 x 450 = Rs. 18,000
Total cost of flooring the remaining area with wood = 80 * 750 = Rs. 60,000
Total increase in the original cost of flooring = 18000 + 60000 = Rs. 78,000 Hence, option 4.
Find the arithmetic mean of the first 28 multiples of 28.
The first 28 multiples of 28 are 28, 28 * 2, 28 x 3 , 28 * 28.
The arithmetic mean of these 28 numbers would be the sum of all the numbers divided by 28.
AM = 28 x (28 x 29 / 2) / 28 = 406
Hence, option 2.
Alternatively,
The arithmetic mean of the first 28 multiples will be equal to the arithmetic mean of the 14^{th} and 15^{th} multiple.
AM = 392 + 420 / 2 = 406
Hence, option 2.
The sum of the 5th term and the 18^{th} term of an arithmetic progression is equal to the sum of the 7^{th}, 12^{th} and the 15^{th} term of the same progression. Which element of the series would necessarily be equal to zero?
Let the 1st term of the arithmetic progression be a and the common difference be d.
The 5^{th }term will be (a + 4d) and the 18^{th} term will be (a + 17d).
Also, the 7^{th} term will be (a + 6d), the 12^{th} term will be (a + 11d) and the 15^{th} term will be (a +14d).
Now, from the given condition, we get (a + 4 d) + (a + 17d) = (a + d) + (a + 11d + (a + 14d)
2a + 21d = 3a + 31d
a + 10d = 0 (a + 10d) is the 11^{th} term of the series.
What is the total number of ways in which 101 prizes can be distributed among 5 boys if each boy receives an odd number of prizes?
Let x_{1}, x_{2}, x_{3}, x_{4} and x_{5} be the number of prizes given to the 5 boys respectively.
We have x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 101 Since each boy received odd number of prizes, let
x_{1} = 2y_{1}  1, x_{2} = 2y_{2}  1, x_{3} = 2y_{3}  1, x_{4} = 2y_{4 } 1, x_{5} = 2y_{5}  1
where y_{1,} y_{2,} y_{3}, y_{4} and ys are positive integers
So we have (2y_{1}  1) + (2y_{2}  1) (2y_{3}  1) (2y_{4 } 1) (2y_{5}  1) = 101
i.e y_{1} + y _{2 }+ y_{3 }+ y_{4}, + y_{5} = 53
Now imagine that these 53 prizes are placed one beside the other. So we have 52 spaces in between these prizes. To divide them into 5 groups, we need to select 4 spaces from the available 52 spaces which can be done in 52_{C4} ways. Hence, option 1.
Gayathri and Savithri sell apples. Savithri sells two apples for one rupee. The apples that Gayathri sells are a bit smaller; she sells three apples for one rupee. At a certain moment, when both ladies have the same amount of apples left, Gayathri is called away. She asks her neighbour to take care of her goods. To make everything not too complicated, Savithri simply puts all apples together, and starts selling five apples for Rs. 2. When Gayathri returns the next day, all apples have been sold. But when they start dividing the money, there appears to be a shortage of Rs. 7. Supposing they divide the amount equally, how much does Savithri lose in this deal?
The big pile of apples contains the same number of large apples of half a rupee each (from Savithri), as smaller apples of one third a rupee each (from Gayathri).
∴ The average price
= (1 / 2 + 1 / 3) / 2 = 5 / 12 rupees
The apples should be sold at Rs. (5/12) each.
But the apples were sold for Rs. (2/5) each (5 apples for Rs. 2).
Each apple is sold at Rs. (1/60) less.
The total shortage is Rs. 7,
After combining there were 7 x 60 = 420 apples.
The amount obtained from these 420 apples = 2/5 x 420 = 168 rupees
They divided the money equally amongst themselves, each of them got Rs. 84.
If Savithri would have sold the apples herself, she would have received Rs. 105 for 210 apples.
Savithri loses Rs. 21 in this deal.
Hence, option 2.
In the following series find one number that is wrong:
13, 10, 5, 13, 37, 98, 220, ...
Given series: 13, 10, 5, 13, 37, 98, 220. Consider the first level difference:
10  13 =  3 = 0^{3}  3
5  10 = 5 (It should be 2 = 1^{3}  3)
13  5 = 8 (It should be 5 = 2^{3}  3)
37  13 = 24 = 3^{3}  3
98  37 = 61 = 4^{3}  3
220  9 8 = 122 = 5^{3}  3
Here, it can be seen that for the 3^{rd} term i.e. 5 the pattern differs from what it needs to be. (The 3^{rd} term should be 8).
The term 5 is the odd one out.
Hence, option 3.
Naveen distributed his property among his sons. He gave 30% to Yash and 35% to Niral and the remaining 30 lakhs he invested in a fixed deposit for himself. What was the total value of Naveen’s property initially?
Let the initial property of Naveen be Rs. x.
As per given conditions,
x  35x / 100  30x / 100 = 30
∴ 35x / 100 = 30
x = Rs. 85.7 lakhs
Hence, option 3.
What is the value of the largest five digit number which is exactly divisible by 86?
The largest five digit number is 99999.
Now, by actual division, 99999 divided by 86 leaves remainder 67.
The largest five digit number, divisible by 86, is 99999  67 = 99932
Hence, option 1.
Alternatively, We can easily see that 86860 is divisible by 86. 8600, 860 and 86 are all divisible by 86 too.
So, 86860 + 8600 = 95460 is divisible by 86. 95460 + 8600 > 99999
95460 + (5 x 860) = 99760 is divisible by 86. 99760 + 2 x 86 = 99932 is divisible by 86.
99932 + 86 > 99999
99932 is the largest number divisible by 86.
Hence, option 1.
Sajan and Samir started their journey from Thane to Kalyan with speeds 24 kmph and 32 kmph respectively. If Samir reaches 35 minutes before Sajan, find the distance between Thane and Kalyan.
Let the distance between Thane and Kalyan be x km.
Time taken by Sajan to cover x km at 24 kmph = (x / 24) hours.
Time taken by Samir to cover x km at 32 kmph = (x / 32) hours.
It is given that Samir reaches 35 minutes = (7 / 12) hours before Sajan,
(x / 24)  (x / 32) = (7 / 12)
4x  3x = 56
x = 56 km
Hence, option 1.
A cask was full of wine. A person used to draw out 25% of the wine from the cask and replace it with water. He repeated the same process 3 times and thus there was only 135 litres of wine left in the cask and the rest of the jar was filled with water. What was the initial amount of wine in the cask?
Let the initial amount of wine in the cask be W, then
135 = W(1  25 / 100)^{3}
135 = W(3 / 4)^{3}
W = 135 x 64 / 27
W= 320 litres
The initial amount of wine in the cask is 320 litre.
Hence, option 4.
During a severe draught, a society of 140 members had sufficient water stored for 90 days. After 50 days, 20 new members joined the society. For how many days after the 20 new members joined the society would the rest of the water be sufficient assuming everyone consumed the same amount of water?
Total water available for 140 members for 90 days = 140 x 90 units
Total available consumed by 140 members in 50 days = 140 x 50 units
Water available after 50 days = 140(90  50) = 140 x 40 units
Number of members after 50 days = 160
∴ Number of days that the water will sufficient = 5600/160 = 35days
Hence, option 4.
The ratio of the sum of the first 6 terms and the sum of the first 12 terms of an arithmetic progression is 37 : 134.
Find a + d / a  d
Let the first term and the common difference of this arithmetic progression be a and d respectively.
Sum of first 6 terms = 6 / 2 x [2a +(6  1)d] = 3[2a + 5d] ...(i)
Sum of first 6 terms = 12 / 2 x [2a + (12  1)d] = 6[2a + 11d]...(ii)
Divide (i) by (ii) to get
3[2a + 5d] / 6[2a + 11d] = 37 / 134
Hence we get a : d = 6 : 5
Applying componendo and dividendo we get,
a + d / a  d = 6 + 5 / 6  5 = 11
Hence, option 4.
A man sold fabrics made of a mix of cotton & wool. The selling price per kg of the fabric is Rs. 405. He makes a 50% profit while selling it. If the cost price of cotton & wool (per kg) is in the ratio 2 : 3 & the ratio of the weights in the fabric is 3 : 7 respectively, what is price (in Rs.) of the cotton in the fabric?
The selling price of the fabric is Rs. 405 which corresponds to 50% profit on the cost price. 405 = 1.5 x CP. CP = 405/1.5 = Rs. 270. Now, the ratio of the weight of cotton to that of wool in the fabric is 3 : 7
So, the fabric is 30% cotton and 70% wool.
Let the per kg cost price of cotton and wool be Rs. 2x and Rs. 3x respectively.
(0.3 x 2x) + (0.7 x 3x) = 270
2.7x = 270
x = 100.
Price of the cotton in the fabric = 2 * 100 * 0.3 = Rs. 60
Hence, option 3.
Ramesh travels 33.33% faster today compared to his normal speed to reach office from home. As a result, he reaches office 45 minutes earlier than usual. What is the time taken to reach office, at the increased speed?
Since the journey covered in both cases is the same, the distance is constant. So, the speed and time are inversely proportional to each other.
Let the original speed of Ramesh be s km/min and the original time taken be t minutes.
Since he travels 33.33% faster, his speed today is 1.33s i.e. (4/3)s km/min and the new time taken is (t  45) minutes.
st = (4s/3) x (t  45)
:. 3t = 4t  180
t = 180
So, time taken at new speed = t  45 = 180  45 = 135 minutes i.e. 2.25 hours.
Hence, option 2.
The profit percentage decreases by 60 percentage points when the cost price of an article is increased by 20% and the selling price is decreased by 16%. What must be the original profit percentage?
Let the original cost price and selling price be x and y.
Intial Profit Percentage = (y  x / x) x 100
New Profit Percentage = (0.84y  1.2x / 1.2x) x 100 = 60
(y  x / x) x 100  (0.84y  1.2x / 1.2x) x 100 = 60
⇒ y / x (1  84 / 120) = 3 / 5
⇒ y / x x 36 / 120 = 3 / 5 ⇒ y / x = 2 / 1
Initial Profit Percentage = y  x / x x 100 = 100%
Hence, option 4.
In how many ways can 3 men and 5 children (3 boys and 2 girls) be seated in a straight line such that no child sits at the end and the 2 girls always sit next to each other?
2 adults have to be seated at the 2 ends. This can be done in^{ 3}P_{2} ways = 6 ways
The remaining adult and all children occupy the remaining 6 seats in such a way that the 2 girls are together.
Considering the 2 girls as a group, we can place the adult, 3 boys and 1 group of girls in 5 places in 5! Ways = 120 ways
The girls can be further placed in 2! ways within the group = 2 ways
Required number of ways = 6 * 120 x 2 = 1440 ways
Hence, option 2.
The marks obtained by A in a test were 20% less than that obtained by B. The marks obtained by B were 40% less than that obtained by C. Find the marks obtained by A as a percentage of marks obtained by C.
Let the marks obtained by B be 100.
Therefore, marks obtained by A will be 100  20% of 100 = 80. Marks obtained by B were 40% less than that obtained by C.
Therefore, marks obtained by C
= 100 / 1  0.4 = 100 / 0.6 = 500 / 3
Required percentage = 80 / 500 / 3 x 100 = 48%
Hence, option 2.
If 2^{(m  n)} = 16 and 3^{(m + n)} = 81, then n is equal to
2^{(m  n)} = 16 = 2^{4} ⇒ m  n = 4
3^{(m + n)} = 81 = 3^{4} ⇒ m + n = 4
Solving (i) and (ii), we get m = 4 and n = 0.
Hence, option 2.
A deer makes 8 leaps in the same time in which a fox makes 3. The length of a leap of the deer is 1 m while that of the fox is 17/6 m. The two were 2.5 m away when they spot each other. How many leaps will the fox need to make to catch up with the deer if each start running in the same direction?
The fox covers (17/6) x 3 = 8.5 m, when the deer covers 1 x 8 = 8 m
i.e., when the fox takes 3 leaps, he covers 0.5 m of the gap.
To cover 2.5 m, it will have to make 5 x 3 = 15 leaps.
Hence, option 3.
If (X)_{10} = {bbb)_{4} , where b is a single digit number, then X must always be a multiple of which of the following number?
(X)_{10} = (bbb)_{4} ⇒(X)10= (b x 4^{2 }+ b x 4 + b )_{10} = (21b)_{10} Thus, X is always a multiple of 21 or in other words 7. Hence, option 1
The number of hours for which Shyam slept in a day varies partially with the number of hours he has worked that particular day. He worked for 4 hours on Monday and 6 hours on Tuesday. He slept for 10 hours on Monday and 16 hours on Tuesday. If he slept for 8 hours on Wednesday, then for how many hours on Wednesday did he work?
Let the number of hours for which he worked on any day be x and for which he slept be y
y = ax + b
From the data; we have: 10 = 4a + b and 16 = 6a + b
Solving the two equations; a = 3 and b = 2
Let w be the number of hours for which he worked on Wednesday. 8 = 3 w  2
∴ w = 10 / 3 hours
Hence, option 3.
If the roots of the quadratic equation (x  k)(x  I) = 6 are 1 and 0, then what is the sum of the roots of (x + k)(x + I) = 0?
Given that 1 is a root, therefore (1  k)(1  /) = 6, therefore 1 + kl  {k + I) = 6.
Given that 0 is a root, therefore (0  k)(0  1) = 6, therefore kl = 6
k + l = 1.
Sum of roots of (x + k)(x + I) = 0:  (k + I) =  1
Hence, option 2.
A ladder is resting against a wall and a floor. It slides down by 8 units on the wall and it moves farther on the floor by 4 units. The ratio of the initial distance of top end from the floor and bottom end from the wall is 3 : 4. What is the length of the ladder.
Let the length of the ladder be /. x^{2} + y^{2 }= /^{2} ...(i)
Also,
( x  8 ) ^{2} + (y + 4)^{2} = /^{2 }...(ii) From (i) and (ii),
2x  y = 10 ...(iii)
Also,
x / y = 3 / 4
4x = 3y
4 x  3 y = 0 ...(iv) From (iii) and (iv),
x = 15 and y = 20
l = √x^{2} + √y^{2} = √15^{2} + √20^{2} = 25 units
Hence, option 2.
Three taps A, B and C are connected to a tank of capacity 70 units. A and B can together fill the tank in 10 hours. When all three taps are opened, the tank is filled in 14 hours. If tap C is an emptying tap, how much time would it take to empty a full tank?
Let taps A and B fill a and b units per hour and let C empty c units per hour.
Since A and B can fill the tank in 10 hours,
10(a + ib) = 70
a + b = 7
When all three taps are opened, the tank is filled in 14 hours.
14(a + b  c) = 70
a + b  c = 5 c = 2
Hence, tap C can empty the tank in 70/2 = 35 hours
Hence, option 1.
What should be added to both numerator and denominator of 32/39 to make it equal to 5/6 ?
Let x be added to the numerator and denominator of the given fraction.
32 + x / 39 + x = 5 / 6
192 + 6x = 195 + 5x x = 3
Hence, option 2.
Alternatively,
Add the value given in each option to the given fraction and see if the value becomes 5/6.
Only option 2 satisfies this condition.
Hence, option 2.
Boat b takes 10 hours to cover certain distance in a river (both upstream and downstream) while boat p takes 12 hours for the same journey. Find the ratio of the speed of boat b to the speed of boat p.
Let the total distance covered by these boats be x and the speed of the stream be s.
Let the speed of boat b and boat p be b and p kmph respectively
x / b  s + x / b + s = 10 ...(i)
x / p  s + x / b + s = 12 ...(ii)
Dividing (i) by (ii),
b / p (p^{2}  s^{2} / b^{2}  s^{2}) = 10 / 12 = 5 / 6
From this equation, the ratio of the speed of boat b to the speed of boat p cannot be determined.
Hence, option 4.
If a : b = k and c : d = p, what is the value of a : c? a  b = 3 and c  d = 4
a  b = 3
kb  b = 3
b ( k  1 ) = 3 ...(i)
c  d = 4
pd  d = 4
d ( p  1) = 4 ...(ii)
Dividing (i) by (ii),
b(k  1) / d(p  1) = 3 / 4
b / d = 3(p  1) / 4( k  1)
Now, a : b = k and c : d = p
∴ a / b x d / c = k / p
3k(k  1) / 4p(p  1)
Hence, option 1.
P and Q are two distinct prime numbers such that p ≠ Q ≠ 2. Which of the following statements can never be true?
Since p ≠ Q ≠ 2. P and Q are odd prime numbers.
Now, P+ Q = odd + odd = even number Hence, P + Q can never be 31.
Similarly, P  2 Q = odd  even = odd Thus, this equation may be true.
Substitute suitable values of Q and see if a prime value of P is obtained.
For Q = 3, P = 27 + 2(3) = 33 + prime For Q = 5, P = 27 + 2(5) = 37 = prime Thus, this statement can be true.
Hence, option 1.
If x = [8 + 3(√7)] what is the value of [√x  (1 / √x)] ?
[√x  (1 / √x)]^{2} = x  2 + (1 / x) = x + (1 / x)  2
= [8 + 3(√7)] + {1 / [8 + 3(√7)]}  2
= [6 + 3(√7)] + {1 / [8 + 3(√7)]}
= {[6 + 3(√7)][8 + 3(√7)] + 1]} / [8 + 3(√7)]
= {48 + 42(√7) + 9(7) + 1} / [8 + 3(√7)]
= [112 + 42(√7)] / [8 + 3(√7)]
= {14[8 + 3(√7)]} / [8 + 3(√7)]
= 14
[√x  (1 / √x)] = √14
Hence, option 1.
What is the complete range of real values that satisfies x  13 > (x^{2}  5x  8)?
Given: x  13 > (x^{2}  5x  8)
Case 1: when x ≥ 13, x  13 = x  13
(x  13) > (x^{2}  5x  8)
(x^{2}  6x + 5) < 0
(x  1 )(x  5) < 0
1 < x < 5
But,
x ≥ 13, this case is not valid.
Case 2: when x < 13, x  13 = x + 13 (x + 13) > (x^{2}  5x  8)
(x^{2}  4 x  2 1 ) < 0
(x + 3)(x  7) < 0
3 < x < 7
This is also within the range x < 13.
Therefore, the range of x is (3, 7).
Hence, option 3.
The quantity of rice exported (in kgs per day) is given by 650 + 3a on the ath day of a nonleap year (a = 1 ,2 , 3 ........ 125) and then it remains constant. The quantity of wheat exported (in kgs per day) is given by 25 + 5a on the ath day of a nonleap year (a = 1 , 2 , 3 ........ 365). On which numbered day will the quantities of rice and wheat exported be equal?
Quantity of rice exported (in kgs per day) is 650 + 3a Quantity of wheat exported (in kgs per day) is 25 + 5a Equating the two equations we get, 650 + 3a = 25 + 5a
625 = 2a
The value of a comes out to be a noninteger. So we discard this value.
It is given that after the 150th day, the quantity of rice exported remains constant.
After the 150th day, quantity of rice exported = 650 + 3a (where a= 125)
Hence, quantity of rice exported = 650 + 375 = 1025 kg Equating this with the equation for quantity of wheat exported we get, 1025 = 25 + 5a a = 200
Thus, the quantity of rice and wheat exported will be equal on the 200th day.
Hence option 3.
What is the remainder when the product of 534, 129, 939 and 302 is divided by 9?
To find the remainder that a product leaves we first need to find the remainder that individual numbers leave when divided. 534 when divided by 9 leaves a remainder of 3.
Similarly 129 leaves a remainder of 3. 939 leaves a remainder of 3. 302 leaves a remainder of 5.
We now find the product of the individual remainders. 3 x 3 x 3 x 5 = 1 3 5 When 135 is divided by 9 the remainder is 0.
Hence, option 4.
Which of the following values satisfy the equation: 4x  3 = 8x + 5
If x = a, then x  ± a
4x  3 = ±(8x + 5)
4x  3 = 8x + 5 or 4x  3 =  8x  5
4x = 8 or 12x = 2 x = 2 or x = 1/6
Hence, option 3.
One day Ram starts to his office half an hour late. In order to reach in time, he increased his speed by 50%. But he reached office 15 minutes earlier than his usual time. How much time does Ram normally take to reach office?
Let Ram's usual speed be x m per minute New speed = 1.5x m per minute With speed 1.5x m per minute, he took 30 + 15 = 45 minutes less than the normal time to cover the same distance.
Assume that Ram takes t minutes at x m per minute tx= (t  45)(1.5x) 0.5fx = 67.5x
t = 135 minutes
Hence, option 4.
Two milkwater solutions A and B are mixed in some ratio to get solution C. The concentration of milk in A, B and C is 30%, 40% and 50% respectively. In what ratio are A and B mixed?
The concentration of milk in C is greater than the concentration of milk in both A and B, which is not possible.
Hence, the given data is inconsistent.
Hence, option 4.
A cube of edge 3 cm is cut into smaller cubes of edge 1 cm. The ratio of the total surface area of all the smaller cubes to the surface area of the larger cube is equal to:
Surface area of cube of side 1cm = 6 x 1 * 1 = 6 cm^{2} Number of cubes of side 1 cm = 27
Total surface area of all small cubes = 27 x 6 cm^{2} Surface area of the larger cube = 6 * 3 x 3 = 9 x 6 cm^{2}
Required ratio = (27 x 6): (9 x 6) = 3 : 1 Hence, option 2.
How many natural numbers less than 660 are divisible by 5 and 11, but not by 3?
If a number is divisible by 5 and 11, it must be divisible by 55 660 = 55 x 12 Since the required numbers are less than 660, there are 11 numbers divisible by 5 and 11 (i.e. from 55 to 605).
Now, 3, 5 and 11 are coprime to each other.
A number divisible by 3, 5 and 11 will also be divisible by 3 x 5 x 11 = 165
There are three multiples of 165 from 55 to 605 (i.e. 165, 330, 495).
Since these three numbers are divisible by 165, they are also divisible by 55.
Hence, these 3 need to be removed from the 11 numbers identified earlier.
Hence, count of required numbers = 11  3 = 8
Hence, option 3.
To be divisible by 72, the number has to be divisible by both 8 and 9.
For the number to be divisible by 8, the last three digits have to be divisible by 8.
Since the last three digits are 6a2, a can be 3 or 7 for this number to be divisible by 8.
For the number to be divisible by 9, the sum of all the digits has to be divisible by 9.
sum of all the digits = m + a + 9
If a = 3, sum of the digits = m + 12. For m + 12 to be divisible by 9, m has to be 6
If a = 7, sum of the digits = m + 16. For m + 16 to be divisible by 9, m has to be 2
Hence two cases are possible.
m  a = 6  3 = 3 or2  7 =  5
Hence, option 4.
In how many ways the letters of the word ANDROID can be arranged such that the two Ds are separated by at most two vowels?
There are three possibilities:
Case 1: No vowel between the two Ds Here, the two Ds are together (in one way) and the word comprises 6 units i.e. the other 5 words (A, N, D, O, I) and the groups of 2 Ds.
These 6 units can be arranged in 6! = 720 ways
Case 2: One vowel between the two Ds The vowel can be chosen in ^{3}C_{1} = 3 ways.
If this vowel is V, the group DVD becomes one unit.
Hence, the word comprises 5 units (i.e. the remaining 4 words and the unit DVD).
These 5 units can be arranged in 5! ways.
Total number of ways = 3 x5 ! = 360
Case 2: Two vowels between the two Ds The two vowels can be chosen in ^{3}C_{2} ways.
Also, if the two vowels are X and Y, the Ds and the vowels can be arranged in 2 ways i.e. DXYD or DYXD.
The word now comprises 4 units (i.e. the remaining 3 words and the unit DXYD)
Total number of ways = 3 x 2 x 4! = 144 Total number of ways = 720 + 360 + 144 = 1224
Hence, option 4.
The price of a commodity is increased by x% and then a discount of x% is offered. What is the final cost price of that commodity? Assume the original cost of the commodity to be y.
Let y = Rs. 100 and x = 10 Price after increase = Rs. 110 and price after discount = Rs. 99
Since the final price is less than the initial value, options 2 and 4 can be directly eliminated.
In options 1 and 3, substitute the value of x and y.
Only option 1 gives the final value as Rs. 99.
Hence, option 1.
Alternatively, Original price = y Price after increase of x% = y (1 + x / 100)
= y (1 + x / 100) (1  x / 100) = y (1  x^{2} / 100^{2})
Hence, option 1.
Arjun, Luke and Farhan run around a circular track of length 150 metres at speeds of 4 m/s, 7 m/s and 13 m/s respectively, starting simultaneously from the same point and in the same direction. How often will the three of them meet?
First we find out when Arjun and Luke meet for the first time.
This can be found out by the formula: Time = Circumference/Relative speed = 150/(7  4) = 150/3 = 50 seconds Arjun and Luke meet every 50 seconds.
Similarly, Luke and Farhan meet after every 150/(13  7) = 150/6 = 25 seconds.
Arjun and Luke meet every 50 seconds and multiples of 50 seconds.
And Luke and Farhan meet every 25 seconds and multiples of 25 seconds.
The common multiples to both these time will be the time when all three meet.
These will be 50,100,150, ...seconds They meet every 50 seconds.
Hence, option 2.
The ratio of number of boys and girls in a class is 3 : 2. The ratio of boys who have passed to boys who have failed is 1 : 2. The ratio of total number of students who have passed to those who have failed is 2 : 3. What is the ratio of number of girls who have passed to the number of boys who have failed?
Let the number of boys who have passed be b.
Therefore, the number of boys who have failed is 2b Total number of boys = b + 2b = 3b v The ratio of number of boys to girls in that class is 3 : 2 Total number of girls = 2b Total number of students = 3b + 2b = 5b
The ratio of total number of students who have passed to those who have failed is 2 : 3.
So, total number of students who passed = 2b and total number of students who failed = 3b Total number of girls who passed = 2 b  b = b Required ratio = b : 2b = 1 : 2 Hence, option 2.
Lines AD, BE and CF are parallel to each other such that lines p and q are transversal to these lines. Line p intersects AD, BE and CF at X, Y and Z respectively while line q intersects them at L, M and N respectively. If XY : XZ = 2 : 3 and LM = 4 units, MN = ?
AD, BE and CF are parallel lines and p and q are the transversals
XY / YZ = LM / MN
XY : XZ = 2 : 3
XY / YZ = 2 / 1 = LM / MN
LM = 4
MN = 4/2 = 2 units
Hence, option 1.
Rajiv inherited some money from a distant relative. He kept 25% of the money in his savings bank account, invested 5% in fixed deposits, 20% in equity and Rs. 200000 in gold. He used the remaining 40% of the money to buy a plot of land. How much money did he inherited?
Amount invested in gold = [ 100  ( 25 + 5 + 20 + 40 ) ]%
= 10%
∴ Amount inherited = 200000 / 0.1 = Rs. 2000000
Hence, option 3.
A man arranges to pay off an interestfree debt of Rs. 7,200 in 20 instalments which form an A.R When the first 15 instalments are paid, he finds that onethird of his debt still remains unpaid.What amount (in Rs.) does he pay as his 16^{th} instalment?
Let the first term and common difference of the A.P. be a and d respectively.
Sum of 20 terms of this A.P. = 7200 (20/2) x [2a + (20  1 )d] = 7200 2a+19d=720... (i)
Sum of first 15 terms of this A.P. = (2/3) x 7200 = 4800
(15/2) x [2a + (15  1)d] = 4800
2a + 14o/ = 640 ... (ii)
Solving (i) and (ii) gives d = 16 and a = 208 16^{th} instalment = a + 15d = 208 + 15(16) = Rs. 448
Hence, option 1.
Two circles, each of radii 2 cm, intersect each other such that the center of each one passes through the center of the other. What is the area (in sq cm) of the intersecting region?
Let the centers of the two circles be B and C, as shown below.
Required area = A(region ABCD).
Because both circles have equal radii, AB = AC = BC = BD = CD = 2 cm Hence, ΔABC and ABCD are equilateral triangles.
Area (region ABCD) = 2[A(ΔABC)] + 4(Area of minor segment AB)
A(ΔABC) = (√3 / 4) x (2)^{2} = √3 sq. cm
Area of minor segment AB = Area of minor sector BAC  Area of ΔABC
∴ A(minor segment AB) = (1 / 6) x π x 2^{2}  √3 = 2π / 3  √3
∴ Total area = 2 x (√3) + 4 x (2π / 3  √3) = (8π / 3  2√3)
Hence, option 2.
What is the remainder when 2x^{4 }+ x^{2}  5x + 2 is divided by (x  3)?
When a polynomial f(x) is divided by (x  a), (x  a) is said to be a factor of the polynomial if f(a) is 0.
Thus the remainder when a polynomial f(x) is divided by (x  a) is given by f(a)
Hence f(3) = 2(3^{4}) + 3^{2}  5(3) +2
= 2 (81)+ 9  15 + 2
= 162 + 9  15 + 2
= 158
Hence, option 2.
The rate (per month) of increase in income is twice that of the expenditure. If there is no saving in the first month and the total savings in the first two months is onefifth of the initial income, then the rate at which the expenditure increased is
Let the initial income and expenditure be / and E respectively.
Income in the second month = /(1 + 0.02r) and expenditure in the second month = E( 1 + 0.01 r); where ris the rate of increase in the expenditure.
Total savings at the end of two months = ( /  E ) + [(/ + 0.02Ir)  (E + 0.01 Er)
= 2(1 E) + r(0.02/ 0.01E)
= 2(1 E) + r(0.01 /  0.01 E + 0.01 /)
= (2 + 0.01 r)(/  E) + 0.01/r
Since the savings in the first month is 0, /  E = 0
0.01/r= 0.2/
0.01r=0.2
r = 20%
Hence, option 2.
A solid cylinder is melted & then 1000 identical small solid cylinders are made out of it. If the proportion in which the radius changes is same as in which the height changes, then what is the ratio of the surface areas of the bigger cylinder & to the surface area of one of the smaller cylinders?
Let R and H be the radius & height of the bigger cylinder respectively.
Let rand h be the radius & height of the smaller cylinder respectively.
Since the big solid cylinder is divided into 1000 identical small cylinders, the volume remains constant.
1000 x πr^{2}h = πR^{2}H
Therefore,
(R / r)^{2} = (H / h) = 1000.
But R / r = H / h
Therefore,
(R / r)^{3} = (H / h)^{3} = 1000
(R / r) = (H / h) = 10
Now the ratio of surface areas will be equal to the ratio of squares of their radii as (R/r) = {H/h) Ratio of surface areas = (R/r)2 = 102 = 100 : 1
Hence, option 1.
If log_{9 }√3 = x and log_{√2} 4 = y, what is the value of lag_{x}y?
log_{9} √3 = log_{9} (3)^{1/2} = log9 [(9)^{1/2}]^{1/2} = 1/4 = x
log_{√2} 4 = 4 [as 4 = (√2)^{4}] = y
∴ log_{x} y = log_{(1/4)} 4 = log_{(1/4)} (1/4)^{1} = 1
In a given fraction, if you add 4 to the numerator and 5 to the denominator, the fraction becomes 1. If you multiply the numerator by 2 and denominator by 3, the fraction becomes 4/5. What is the original fraction?
Here, instead of solving the fraction algebraically, use the answer options.
Add 4 to the numerator and 5 to the denominator of each fraction and check if the fraction becomes 1.
This condition is satisfied for all the fractions.
Now, multiple each numerator by 2 and denominator by 3 and check if the fraction becomes 4/5.
This condition is satisfied only for the fraction 6/5.
i.e. (6 x 2)/(5 x 3) = 4/5
Hence, option 4.
In a selection process of a reputed Bschool, 60% weightage is given to the written exam, 15% to the Group Discussion round and 25% to the Personal Interview. A candidate is selected if he gets minimum 85% marks. Pranav secured 78% marks in the written exam and 90% marks in the Group Discussion. How much should he score in the Personal Interview so as to qualify?
Let the marks obtained by Pranav in Personal Interview be x%.
60 x 78 + 15 x 90 + 25 x x / 60 + 15 + 25 = 6030 + 25x / 100 = 85
X = 98.8
Hence, option 2.
A quadrilateral PQRS circumscribes a circle in such a manner that the circle is tangent to all the four sides of the quadrilateral, m∠QPS = m∠PQR = 90°. Find the radius of the circle if QR = 21 cm and PS = 28 cm.
Let r be the radius of the circle inscribed in the quadrilateral PQRS.
Drop a perpendicular from R on PS at T.
m ∠QPS = m ∠PQR = 90°
PQ = RT = 2r
In any quadrilateral which circumscribes a circle, the sum of one pair of opposite sides is always equal to the sum of the other pair of sides. (This property is explained at the end of the solution.)
PQ + RS = PS + QR
2r + RS = 28 + 21
RS = 49  2r
Now in right angled triangle RST,
RS^{2} = RT^{2} + ST^{2}
(49  2r)^{2} = (2r )^{2} + 7^{2}
(49)^{2} + (2r)^{2}  2(49)(2r) = (2r)^{2} + 7^{2 }(49)^{2}  2(49)(2r) = 7^{2}
2(49)(2r) = (49)^{2}  7^{2}
2(49)(2r) = (49)^{2}  49
2(49)(2r) = 49(49 1)
2(49)(2r) = 49(48)
2r = 24
r = 12 cm
Hence, option 4.
Note: In any quadrilateral which circumscribes a circle, the sum of one pair of opposite sides is always equal to the sum of the other pair of sides. The proof is as follows: Let us consider a quadrilateral ABCD which inscribes a circle such that the circle is tangent to sides AB, BC, CD and AD at points P, Q, R and S respectively.
Since the length of tangents drawn from an external points to a circle are equal, AP = AS, BP = BQ, CQ = CR, DR = DS
Let, AP = AS = a, BP = BQ = b, CQ = CR = c, DR = DS = d
Now,
AB + CD = AP + BP + CR + DR = a + b + c + d ... (i)
Also,
AD + BC  AS + DS + BQ + CQ  d + d+ b + c ... (ii)
From (i) and (ii)
AB + CD = AD + BC
What is the angle between the hands of a clock at 9.30 a.m.?
The angle between the hands of a clock is given by
∣11 / 2 m  30h∣ where m is minutes and h is hours.
Here, h = 9 and m  30 Thus, substituting in the equation,
∣11 / 2 m  30h∣ = ∣11 / 2 x 30  30 x 9∣ = 105º
Hence, option 2.
What is the simple interest for 11 years on a sum of Rs. 2000 if the rate of interest for the first 5 years is 10% per annum and for the last 5 years is 20% per annum?
Since the rate for the 6th year is not known, it is not possible to find the simple interest.
Hence, option 4.
The ratio of efficiency of a man and a woman is 3 : 2, whereas the ratio of efficiency of a woman and a child is 4 : 3. The time taken by a man and a child to complete a piece of work is same as the time taken by n women to complete four times the same work. Find n.
Let m, w and k be the efficiencies of a man, a woman and a child.
m : w = 3 : 2 ⇒ 2m = 3w
w:k = 4:3⇒3w = 4k
Therefore, 2m = 3w = 4k
m  2 k and w = (4/3)k
Let a man and a child take t days to complete a piece of work.
Total work = (m + k)t = (2k + k)t = 3kt
4 x Total work = 12kt
Now, n woman take t days to complete 12kt work.
n x w x t = 12kt
n x(4/3)k* t= 12kt
n = 9
Hence, option 3.
The sum of an infinite geometric progression is 192, and the sum of the first n terms of the geometric progression is 189. The common ratio of this geometric progression is of the form Mr, where r is an integer. What is the number of possible positive values of r?
Sum of infinite terms of a geometric progression = a / 1  x
where, a is the first term of the geometric progression and x is the common ratio.
Sum of n terms of a geomotric progression = a(1  x^{n}) / 1  x
∴ 1  x^{n} = 189 / 192
∴ x^{n} = 1  189 / 192 = 3 / 192 = 1 / 64
Since, x= 1/r, therefore, r^{n} = 64 = 2^{6} = 4^{3} = 8^{2}
Therefore, three different positive integral values of rare possible.
Hence, option 4.
Raju distributed some chocolates to 16 students. The average number of chocolates received by each student is 6. The number of students who received 7 chocolates is thrice the number of students who received 3 chocolates. No student received any other number of chocolates except 3 and 7. How many students received 7 chocolates?
Total number of chocolates = 16 x 6 = 96 Let the number of students who received 3 chocolates = x The number of students who received 7 chocolates = 3x Total number of students = x + 3x = Ax = 16
x = 4
The number of students who received 7 chocolates = 3 x 4 = 12
Hence, option 2.
If a saleswoman sells 75 articles at selling price & 25 articles at a 25% discount on the selling price, she makes a profit of 25%. Express the selling price in terms of the cost price.
Let the selling price per article be Rs. SP and the cost price per article be Rs. CP The saleswoman sells 75 articles at SP and 25 articles at 0.75 SP
Total SP = (75 x SP) + (25 x 0.75SP) = (375/4)SP Cost price of 100 articles = 100CP She makes a profit of 25% (375/4)SP = 1.25 x 100CP = 125CP SP = (4/3)CP = 1.33CP
Hence, option 3.
In how many ways can a committee of 4 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
Atleast 3 boys means the committee can be formed by 3 boys and 1 girl or all 4 boys.
Case 1: 3 boys and 1 girl
From 5 boys and 6 girls they can be selected in ^{5}C_{3} x ^{6}C_{1}ways
= 10 x 6 = 60 ways Case 2: All 4 boys They can be selected from 5 boys in 5C4 ways = 5 ways Total number of ways = 60 + 5 = 65 ways Hence, option 1.
A twodigit number is selected at random. What is the probability that the units digit of the twodigit number is prime?
There are 90 twodigit numbers. n(S) = 90
Let A be an event such that units digit of the twodigit number is prime.
Units digit can be one of 2, 3, 5 or 7.
Tens digit can be any of 1, 2, 3, ..., 9.
Thus, there are 4 x 9 = 36 numbers with prime number in the units place. n(A) = 36
∴ P(A) = 36 / 90 = 2 / 5
Hence, option 3.
X, Y and Z start a business investing Rs. 20,000, Rs. 50,000 and Rs. 40,000 respectively. X first gets 25% of the profit as he is the full time working partner. The total profit earned at the end of that year is Rs. 1,20,000. Y was in business for the full year while Z was in business for only 5 months. For how many months was X in business if his share was Rs. 40,000?
X first gets 25% of Rs. 1,20,000 i.e. Rs. 30,000 as the working partner.
The remaining Rs. 90,000 is divided among X, Y and Z in the ratio of their investment.
The ratio of monetary investment of X, Y and Z is 2 : 5 : 4 Let X invest for x months.
The ratio of period = x : 12 : 5
Hence, ratio in which they will share the profit is 2 x : 60 : 20 i.e. x : 30 : 10 Out of X’s total share of Rs. 40,000, Rs. 30,000 have come initially.
[x/(x + 40)] x 90000 = 10000
9x = x + 40
x = 5
Hence, option 3.
What is the smallest number that must be multiplied by 1944 to make it a perfect cube?
We first try breaking up 1944 into various factors by dividing by all numbers from the smallest till division is possible.
1944/2 = 972
972/2 =486
486/2 =243
243/3 =81
81/3 =27
27/3 =9
9/3 =3
3/3 = 1
1944 = 2 x 2 x 2 x 3 * 3 x 3 x 3 x 3 = 2^{3 }x 3^{3} x 3^{2}
1944 need to be multiplied by 3 to make it a perfect cube.
Hence, option 2.
An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?
For Diesel.
Cost / Km = 32 / 20 = Rs. 1.6 / km
For 50000 km, total cost = 50000 x 1.6 = Rs. 80,000
For Gas.
Cost / Km = 25 / 50 = Rs. 0.5 / km
For 50000 km, fuel cost = 50000 * 0.5 = Rs. 25,000
Total Cost of running the auto on gas = Cost of the cylinder + Cost of Gas 35,000
= 25000 + 10000 = Rs.
Percentage by which the cost of journey by diesel is more than that by gas
= (80000  35000 / 35000) x 100 = 128.5%
Hence, option 4.
Ayaan wants to reach Mumbai to visit his cousin. He drives a car for 200 km at a speed of 60 km/hr and reaches Mumbai. From Mumbai he wants to visit Nagpur, and so he drives a car for 150 km at a speed of 105 km/hr. What is the average speed of the car (in km/hr)?
Time required for Ayaan to reach Mumbai = 200/60 = 3.33 hours Time required for Ayyan to reach from Mumbai to Nagpur = 150/105 = 1.42 hours
Average Speed = Total Distance / Total Time = 200 + 150 / 3.33 + 1.42 = 350 / 4.75 = 73.6
Hence, option 1.
Given that 4^{3x} x 2^{4y} = 4^{7}. Find the value of 8^{(13x)} x 4 ^{(23y)}
4^{3}x X 2^{4}y = 4^{7}
4^{3 x}x 4^{2 y} = 4^{7}
3x + 2y = 7
8^{1  3x} x 4^{23y} = 8 / 4^{2} x 8^{3x} x 4^{3y} = 1 / 2 x 2^{9x }x 2^{6y} = 1 / 2 x 2^{3(3x + 2y)} = 1 / 2 x 2^{21} = 1 / 2^{22}
Hence, option 4.
A trader buys two saris for Rs. 1200. He sells one sari at a profit of 11% and the other at a loss of 4%, making no loss or profit in the overall transaction. What is the absolute difference in the selling price of the two saris?
Let the CP of one sari sold at a profit of 11 % be Rs. x.
The CP of the other sari sold at a loss of 4% be Rs. 1200  x.
By the condition given in the question, 0.11 x x = 0.04 x (1200  x)
x = Rs. 320
SP of the sari sold at a profit of 11 % = 1.11 x
x = 1.11 x 320
= Rs. 355.2
SP of the sari sold at a loss of 4% = 0.96 x (1200  x)
= 0.96 x 880
= Rs. 844.8
The absolute difference in the SP of the two saris = 844.8  355.2 = Rs. 489.6
Hence, option 4.
Answer the following question based on the information given below.
After establishing the Justice League; Superman, Batman and the other cofounders are now trying to set up Justice League centers in as many cities as possible, recruiting other superheroes so that they can serve humanity better. While Superman went to Metropolis to oversee the setup, Batman was left behind to set up the Gotham center. Batman and two new recruits are now to finish a series of 20 testassignments in order to train the new recruits for the real work. On an average Batman can finish one assignment in 20 minutes, while it is taking the recruits around one hour to finish each assignment.
Q.How much time will this three member team take to finish off one assignment?
It takes Batman 20 minutes to finish one assignment.
∴ In 1 min, 1 / 20 of an assignment will be completedby Batman.
It takes one recruit 60 minutes to finish one assignment.
∴ In 1 min, one recruit will be finishing off 1 / 60 of an assignment.
Therefore, portion of one assignment that will be completed in 1 min by the team of Batman and the two recruits
= 1 / 20 + 2 x 1 / 60
= 5 / 60
= 1 / 12
Therefore, time taken by the team to finish one assignment
= 1 / 1 / 12
= 12 minutes
Hence, option 3.
After two hours, Batman decides that the recruits are capable enough to handle the assignments by themselves, and he should let them handle it for more handson experience. So he goes over to the observation deck and leaves the recruits the task of finishing the assignment by themselves. How much time would have been saved had Batman been by the side of the recruits for the rest of the assignments as well?
For two hours, Batman and the team of two recruits work on the assignments.
The team, including the Batman, completes one assignment in 12 minutes. Hence the number of assignments completed by the team in two hours = 10 In order to complete the remaining 10 assignments, time taken by the two recruits
= 10 x 1 / 2 / 60
= 300 minutes = 5 hours Had Batman been working with the team, the team would have been able to complete these remaining 10 assignments in two hours.
Time that could have been saved = 3 hours Hence, option 3.
Each of the questions below consists of a set of labelled sentences. These sentences, when properly sequenced, form a coherent paragraph. Choose the most logical order of sentences from the options.
A. Like by knowing gold all the gold ornaments could be known, by knowing Akshara, its another manifestation, the universe is known. This Upanishad expounds the greatness of Para Vidya.
B. Apara Vidya enables one to earn ones bread and helps one to understand each object of universe separately, but it does not show the Ultimate Reality (Akshara) or Root Cause of this universe.
C. The knowledge that leads to Self Realization is called Para Vidya and everything else is called Apara Vidya or Knowledge of Material world.
D. While Para Vidya doesn't teach objects of this universe but enables one to understand underlying fabric of it.
E. Mundaka Upanishad divides all knowledge into two categories.
The passage is about Mundaka Upanishad which divides all knowledge into two categories namely  Apara Vidya and Para Vidya.
Statement E therefore is the opening statement of the paragraph.
Statement C lists both the Vidyas and gives a brief idea about them. Therefore C logically follows E.
Link BD is in all the answer options. Statements B and D compare Apara and Para Vidya.
Mundaka Upanishad expounds Para Vidya’s greatness which concludes the passage.
The sequence is ECBDA.
Hence, the correct answer is option 3
Fill in the blanks with the most appropriate word/set of words from the given options.
I can do that easily,___?
The auxiliary verb used in the sentence “can” should be used again in the question tag, and in its negative form. Hence the sentence should read, ‘I can do that easily, can’t I?’.
Hence, the correct answer is option 1.
Choose the correct option. Which is the correct idiom?
“It ain’t over till the fat lady sings” means that ‘one should not assume the outcome of an activity until it is actually finished’. This proverb originates from people’s perception of the Opera where typically overweight sopranos would perform the last aria at the end of the Opera.
Hence, the correct answer is option 2.
A passage is followed by questions pertaining to the passage. Read the passage and answer the questions. Choose the most appropriate answer.
Meteorological seasons are reckoned by temperature, with summer being the hottest quarter of the year and winter the coldest quarter of the year. Using this reckoning, the Roman calendar began the year and the spring season on the first of March, with each season occupying three months. In 1780 the Societas Meteorologica Palatina, an early international organization for meteorology, defined seasons as groupings of three whole months. Ever since, professional meteorologists all over the world have used this definition. So, in meteorology for the Northern hemisphere: spring begins on 1 March, summer on 1 June, autumn on 1 September, and winter on 1 December.
Ecologically speaking, a season is a period of the year in which only certain types of floral and animal events happen (e.g.: flowers bloom—spring; hedgehogs hibernate—winter). So, if we can observe a change in daily floral/animal events, the season is changing.
Traditional seasons are reckoned by insolation, with summer being the quarter of the year with the greatest insolation and winter the quarter with the least. In traditional reckoning, the seasons begin at the crossquarter days. The solstices and equinoxes are the midpoints of these seasons.
In Australia, the traditional aboriginal people defined the seasons by what was happening to the plants, animals and weather around them. This led to each separate tribal group having different seasons, some with up to eight seasons each year. However, most modern Aboriginal Australians follow either four or six meteorological seasons, as do nonAboriginal Australians.
In India, and in the Hindu calendar, there are six seasons or Ritu: Hemant (prewinter), Shishira (Winter), Vasanta (Spring), Greeshma (Summer), Varsha (Rainy) and Sharad (Autumn).
Q.In the context of this passage, which of the following options best describes the meaning of ‘insolation’?
The passage is about how the duration and start of seasons are calculated or figured out. In this context the word insolation has been used to describe the phenomena of changes in season brought about by the angle of the Sun in relation to the Earth.
Option 2 is ruled out because this (‘therapeutic exposure’) would not fit in the context of the seasons.
Option 3 is ruled out as there is no reference to ‘protection’ in the passage.
Option 4 is too generalised an answer.
Option 1, with solar radiation striking Earth, makes a perfect allusion to the subject matter  seasons. In the context in which it is mentioned, the word is used to signify that, “summer has the greatest insolation (solar radiation striking earth) and winter has the least (solar radiation striking earth)”.
Hence, the correct answer is option 1.
Meteorological seasons are reckoned by temperature, with summer being the hottest quarter of the year and winter the coldest quarter of the year. Using this reckoning, the Roman calendar began the year and the spring season on the first of March, with each season occupying three months. In 1780 the Societas Meteorologica Palatina, an early international organization for meteorology, defined seasons as groupings of three whole months. Ever since, professional meteorologists all over the world have used this definition. So, in meteorology for the Northern hemisphere: spring begins on 1 March, summer on 1 June, autumn on 1 September, and winter on 1 December.
Ecologically speaking, a season is a period of the year in which only certain types of floral and animal events happen (e.g.: flowers bloom—spring; hedgehogs hibernate—winter). So, if we can observe a change in daily floral/animal events, the season is changing.
Traditional seasons are reckoned by insolation, with summer being the quarter of the year with the greatest insolation and winter the quarter with the least. In traditional reckoning, the seasons begin at the crossquarter days. The solstices and equinoxes are the midpoints of these seasons.
In Australia, the traditional aboriginal people defined the seasons by what was happening to the plants, animals and weather around them. This led to each separate tribal group having different seasons, some with up to eight seasons each year. However, most modern Aboriginal Australians follow either four or six meteorological seasons, as do nonAboriginal Australians.
In India, and in the Hindu calendar, there are six seasons or Ritu: Hemant (prewinter), Shishira (Winter), Vasanta (Spring), Greeshma (Summer), Varsha (Rainy) and Sharad (Autumn).
Q.In the context of this passage, which of the following options best describes the meaning of ‘reckon’?
According to the first two lines of the passage, “Meteorological seasons are reckoned by temperature, with summer being the hottest quarter of the year and winter the coldest quarter of the year. Using this reckoning, the Roman calendar began the year and the spring season on the first of March, with each season occupying three months.” All the options are valid synonyms of ‘reckon’, but in this context, the meaning is that of ‘calculating’ or figuring out the start and end of the seasons.
Hence, the correct answer is option 4.
Meteorological seasons are reckoned by temperature, with summer being the hottest quarter of the year and winter the coldest quarter of the year. Using this reckoning, the Roman calendar began the year and the spring season on the first of March, with each season occupying three months. In 1780 the Societas Meteorologica Palatina, an early international organization for meteorology, defined seasons as groupings of three whole months. Ever since, professional meteorologists all over the world have used this definition. So, in meteorology for the Northern hemisphere: spring begins on 1 March, summer on 1 June, autumn on 1 September, and winter on 1 December.
Ecologically speaking, a season is a period of the year in which only certain types of floral and animal events happen (e.g.: flowers bloom—spring; hedgehogs hibernate—winter). So, if we can observe a change in daily floral/animal events, the season is changing.
Traditional seasons are reckoned by insolation, with summer being the quarter of the year with the greatest insolation and winter the quarter with the least. In traditional reckoning, the seasons begin at the crossquarter days. The solstices and equinoxes are the midpoints of these seasons.
In Australia, the traditional aboriginal people defined the seasons by what was happening to the plants, animals and weather around them. This led to each separate tribal group having different seasons, some with up to eight seasons each year. However, most modern Aboriginal Australians follow either four or six meteorological seasons, as do nonAboriginal Australians.
In India, and in the Hindu calendar, there are six seasons or Ritu: Hemant (prewinter), Shishira (Winter), Vasanta (Spring), Greeshma (Summer), Varsha (Rainy) and Sharad (Autumn).
Q.Based on the passage, we can infer all the statements, except:
Option 1 is correct because it is mentioned in the passage that ‘Ecologically speaking, a season is a period of the year in which only certain types of floral and animal events happen... so, if we can observe a change in daily floral/animal events, the season is changing’. And ‘In Australia, the traditional aboriginal people defined the seasons by what was happening to the plants, animals and weather around them’. Therefore, this statement can be inferred.
Option 2 can also be inferred because it is mentioned  ‘In 1780 the Societas Meteorologica Palatina... defined seasons... Ever since, professional meteorologists all over the world have used this definition...’ Option 4 can also be inferred because it is mentioned, ‘...a season is a period of the year in which only certain types of floral and animal events happen...hedgehogs hibernate— winter... So, if we can observe a change...the season is changing.’ Option 3 cannot be inferred because the statement itself is incorrect. The passage mentions The solstices and equinoxes are the midpoints of these seasons’. Therefore, summer does not begin on the day of the solstice.
Hence, the correct answer is option 3.
Meteorological seasons are reckoned by temperature, with summer being the hottest quarter of the year and winter the coldest quarter of the year. Using this reckoning, the Roman calendar began the year and the spring season on the first of March, with each season occupying three months. In 1780 the Societas Meteorologica Palatina, an early international organization for meteorology, defined seasons as groupings of three whole months. Ever since, professional meteorologists all over the world have used this definition. So, in meteorology for the Northern hemisphere: spring begins on 1 March, summer on 1 June, autumn on 1 September, and winter on 1 December.
Ecologically speaking, a season is a period of the year in which only certain types of floral and animal events happen (e.g.: flowers bloom—spring; hedgehogs hibernate—winter). So, if we can observe a change in daily floral/animal events, the season is changing.
Traditional seasons are reckoned by insolation, with summer being the quarter of the year with the greatest insolation and winter the quarter with the least. In traditional reckoning, the seasons begin at the crossquarter days. The solstices and equinoxes are the midpoints of these seasons.
In Australia, the traditional aboriginal people defined the seasons by what was happening to the plants, animals and weather around them. This led to each separate tribal group having different seasons, some with up to eight seasons each year. However, most modern Aboriginal Australians follow either four or six meteorological seasons, as do nonAboriginal Australians.
In India, and in the Hindu calendar, there are six seasons or Ritu: Hemant (prewinter), Shishira (Winter), Vasanta (Spring), Greeshma (Summer), Varsha (Rainy) and Sharad (Autumn).
Q.According to the passage:
Both the options have been mentioned verbatim in the passage.
Hence, the correct answer is option 3.
Meteorological seasons are reckoned by temperature, with summer being the hottest quarter of the year and winter the coldest quarter of the year. Using this reckoning, the Roman calendar began the year and the spring season on the first of March, with each season occupying three months. In 1780 the Societas Meteorologica Palatina, an early international organization for meteorology, defined seasons as groupings of three whole months. Ever since, professional meteorologists all over the world have used this definition. So, in meteorology for the Northern hemisphere: spring begins on 1 March, summer on 1 June, autumn on 1 September, and winter on 1 December.
Ecologically speaking, a season is a period of the year in which only certain types of floral and animal events happen (e.g.: flowers bloom—spring; hedgehogs hibernate—winter). So, if we can observe a change in daily floral/animal events, the season is changing.
Traditional seasons are reckoned by insolation, with summer being the quarter of the year with the greatest insolation and winter the quarter with the least. In traditional reckoning, the seasons begin at the crossquarter days. The solstices and equinoxes are the midpoints of these seasons.
In Australia, the traditional aboriginal people defined the seasons by what was happening to the plants, animals and weather around them. This led to each separate tribal group having different seasons, some with up to eight seasons each year. However, most modern Aboriginal Australians follow either four or six meteorological seasons, as do nonAboriginal Australians.
In India, and in the Hindu calendar, there are six seasons or Ritu: Hemant (prewinter), Shishira (Winter), Vasanta (Spring), Greeshma (Summer), Varsha (Rainy) and Sharad (Autumn).
Q.Select the odd man out from the given alternatives.
The words given above: “zest”, “tang” and “relish” refer to the flavour of a dish. “Texture” refers to the structure or appearance of something.
Hence, the correct answer is option 4.
Select among the given choices the correct phrase to replace the underlined phrase in the following sentence.
In connection with the counting of whorl values to obtain the primary, it might be noted that "because the whorls outnumber the other patterns high speed can be achieved" by counting those patterns and subtracting rather than by adding the whorls.
Options 1,3, and 4 can be eliminated as the information given in them is incorrect. Option 1 can additionally be eliminated as the punctuation and the adverb used to break up the sentence change the meaning of the sentence entirely.
Hence, the correct answer is option 2.
Select the word that is closest in meaning to the given phrase.
Q.Seeking and enjoying the company of others
A “gregarious” individual is one who is ‘fond of the company of others’.
A ‘shamefully wicked’ individual can be described as being “flagitious”. Option 1 is far from the meaning of the given phrase. Someone who is “fastidious” is known for being ‘excessively particular, critical or demanding’. Eliminate option 2.
A ‘frugal’ individual is also known as being “parsimonious”.
Option 4 does not have much in common with the given phrase. Hence, the correct answer is option 3.
Fill in the blanks with the most appropriate word/set of words from the given options.
Q.Because I was unwell, the farmer let me____there.
The simple present has to be used with “the farmer let me...” This eliminates options 3 and 4.
The verb “lay” is a transitive verb and takes an object. This eliminates option 1.
On the other hand, “lie” does not require an object.
Hence, the correct answer is option 2.
Mark the option that has the correct spelling of the word.
The correct spellings for the words are: Occasion, Separate and Independent. “Indefatigable”, meaning ‘untiring or inexhaustible’, has been correctly spelt.
Hence, the correct answer is option 3.
Which punctuation mark is missing in each of the following sentences?
Q.Laughing ecstatically Suna waved at Ria.
In the above sentence, a comma needs to be used after ‘ecstatically’. This is essential in order to separate the free modifier or phrase that is placed at the beginning of the sentence.
Hence, the correct answer is option 3.
“Incontinence”, “Licentiousness” and “Carousal” all refer to extreme indulgence in drinking involving promiscuity. “Sanctimoniousness” is an excessive show of morality or holiness and is quite the opposite of the remaining three words. Hence, the correct answer is option 3.
Answer the following question based on the information given below.
Q.Mark the erroneous part of the sentence.
Being from an orthodox middle class family.(1) it did not surprise me that (2) he chose to marrv the girl his parents had picked up for him (3) instead of his childhood sweetheart. (4)
There is a very basic modifier error in this sentence. The sentence starts with ‘Being from an orthodox middle class family’. This phrase should be followed by a Subject that stands to be modified by it. In this case, it is the person who marries the girl.
Part 2 of the sentence, instead, talks about the author’s lack of surprise, thus making it wrong.
Hence, the correct answer is option 2.
Fill in the blank with the appropriate option The stew came____a bed of spicy, hot noodles.
The phrase “bed of noodles” indicates that ‘the noodles were below the stew’. Therefore, “beside”, “by” and “for” are incorrect. The correct preposition in this sentence would be ‘on’.
Hence, the correct answer is option 3.
Identify the figure of speech in the following sentence:
Q.Count Varian was well known for the good cellar he kept.
A simile is used to compare two objects of different kinds with at least one point in common.
Personification means inanimate objects and abstract notions are spoken of as having life and intelligence.
Irony is a mode of speech in which the real meaning is exactly the opposite of that which is literally conveyed.
In metonymy an object is designated by the name of something which is generally associated with it or the container for the thing contained. In the above sentence, the ‘cellar’ actually refers to the ‘collection of wine’ stored in the cellar.
Hence, the correct answer is option 2.
Arrange the jumbled sentences in order.
Q.I can’t accept it as mere coincidence_____ me to at a young age.
A. the very thought patterns and ideas
B. my inaugural mentor introduced
C. two subjects that powerfully investigate
D. that I found my passion in philosophy and political science;
Part D must be the first since it introduces the idea that is carried forward through the rest of the sentence. Also, it begins with the relative pronoun “that”.
Then part C must follow D since it names the two subjects that are spoken of in part D.
The part that follows C must define it, hence, only part A can follow.
A is in turn followed by B which maintains the flow of the sentence.
Thus, the correct order is DCAB.
Hence, the correct answer is option 2.
Select the option that gives the correct meaning of the underlined word in the given sentences.
Q. While talking to Rajat, I sensed a "confluence" in our thoughts.
The word ‘confluence’ means the meeting point of two rivers or a convergence of two things. ‘Disagreement’ is an antonym whereas ‘similarity’ and ‘equanimity’ are irrelevant as synonyms.
Hence, the correct answer is option 2.
Fill in the blanks with the most appropriate word/set of words from the given options.
Q.His last will is a /an ______ evidence that he hated his grandchildren.
The person’s last will is evidence that the man hated his grandchildren. To bring out this meaning, the word ‘evidence’ has to be qualified by an adjective that proves that the evidence is indeed ‘solid’. The only word that fits this requirement is “incontrovertible” since it means ‘indisputable; irrefutable’. “Accurate” means ‘precise’. “Coherent” means ‘logical’. “Authoritative” means ‘having authority’.
Hence, the correct answer is option 1.
From the following words, identify the word that will make a relationship similar to the first pair.
Q.Miner : Ore :: Lumberjack : ______
The job of a miner is to mine ores, similarly the job of a lumberjack is to gather wood by cutting trees.
Hence, the correct answer is option 1.
Choose the grammatically correct option from the following
The sentence is in the present tense and so the verb ‘haven’t’ is correct.Option 4 is ruled out.
Options 2 and 3 have subject verb agreement errors.
Hence, the correct answer is option 1.
Fill in the blanks with the correct simile.
Q.As old as______
The correct simile is “as hold as the hills” which is used to refer to ‘someone who is exceedingly old’.
Hence, the correct answer is option 1.
A passage is followed by questions pertaining to the passage. Read the passage and answer the questions. Choose the most appropriate answer.
Plutarch, a Theban by birth, once composed a "great collection of slanders" against Herodotus, titled On the Malignity of Herodotus, including the allegation that the historian was prejudiced against Thebes because the authorities there had denied him permission to set up a school. Dio Chrysostom similarly attributed prejudice against Corinth to the historian's bitterness over financial disappointments, an account supported by Marcellinus in his Life of Thucydides. In fact Herodotus was in the habit of seeking out information from empowered sources within communities, such as aristocrats and priests, and this also occurred at an international level, with Periclean Athens becoming his principal source of information about events in Greece. As a result, his reports about Greek events are often coloured by Athenian bias against rival states  Thebes and Corinth in particular. Thus the accounts given by Plutarch and Chrysostom may be regarded as 'payback'. Herodotus wrote his Histories in the Ionian dialect yet he was born in Halicarnassus, originally a Dorian settlement. According to the Suda (an 11thcentury encyclopaedia of Byzantium which likely took its information from traditional accounts), Herodotus learned the Ionian dialect as a boy living on the island of Samos, whither he had fled with his family from the oppressions of Lygdamis, tyrant of Halicarnassus and grandson of Artemisia I of Caria. The Suda also informs us that Herodotus later returned home to lead the revolt that eventually overthrew the tyrant. However, thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere. Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account.
It was conventional in Herodotus’ day for authors to 'publish' their works by reciting them at popular festivals. According to Lucian, Herodotus took his finished work straight from Asia Minor to the Olympic Games and read the entire Histories to the assembled spectators in one sitting, receiving rapturous applause at the end of it.. According to a very different account by an ancient grammarian, Herodotus refused to begin reading his work at the festival of Olympia until some clouds offered him a bit of shade, by which time however the assembly had dispersed  thus the proverbial expression "Herodotus and his shade". Herodotus’ recitation at Olympia was a favourite theme among ancient writers and there is another interesting variation on the story to be found in the Suda, Photius and Tzetzes, in which a young Thucydides happened to be in the assembly with his father and burst into tears during the recital, whereupon Herodotus observed prophetically to the boy's father: "Thy son's soul yearns for knowledge".
Q.In the passage, ‘payback’ refers to
The last few lines of the 1st paragraph explain about the sources of information gathered by Herodotus. As this information was ‘biased against rival statesThebes and Corinth’. Plutarch and Chrysostom had a vicious feeling against Herodotus and therefore the accounts given by them are full of criticism and termed as a ‘payback’ to all of Herodotus’ unfavourable reports about Greek events.
Hence, correct answer is option 3.
Plutarch, a Theban by birth, once composed a "great collection of slanders" against Herodotus, titled On the Malignity of Herodotus, including the allegation that the historian was prejudiced against Thebes because the authorities there had denied him permission to set up a school. Dio Chrysostom similarly attributed prejudice against Corinth to the historian's bitterness over financial disappointments, an account supported by Marcellinus in his Life of Thucydides. In fact Herodotus was in the habit of seeking out information from empowered sources within communities, such as aristocrats and priests, and this also occurred at an international level, with Periclean Athens becoming his principal source of information about events in Greece. As a result, his reports about Greek events are often coloured by Athenian bias against rival states  Thebes and Corinth in particular. Thus the accounts given by Plutarch and Chrysostom may be regarded as 'payback'. Herodotus wrote his Histories in the Ionian dialect yet he was born in Halicarnassus, originally a Dorian settlement. According to the Suda (an 11thcentury encyclopaedia of Byzantium which likely took its information from traditional accounts), Herodotus learned the Ionian dialect as a boy living on the island of Samos, whither he had fled with his family from the oppressions of Lygdamis, tyrant of Halicarnassus and grandson of Artemisia I of Caria. The Suda also informs us that Herodotus later returned home to lead the revolt that eventually overthrew the tyrant. However, thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere. Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account.
It was conventional in Herodotus’ day for authors to 'publish' their works by reciting them at popular festivals. According to Lucian, Herodotus took his finished work straight from Asia Minor to the Olympic Games and read the entire Histories to the assembled spectators in one sitting, receiving rapturous applause at the end of it.. According to a very different account by an ancient grammarian, Herodotus refused to begin reading his work at the festival of Olympia until some clouds offered him a bit of shade, by which time however the assembly had dispersed  thus the proverbial expression "Herodotus and his shade". Herodotus’ recitation at Olympia was a favourite theme among ancient writers and there is another interesting variation on the story to be found in the Suda, Photius and Tzetzes, in which a young Thucydides happened to be in the assembly with his father and burst into tears during the recital, whereupon Herodotus observed prophetically to the boy's father: "Thy son's soul yearns for knowledge".
Q.Who is the ‘son’ in “Thy son's soul yearns for knowledge"
As per the last paragraph, last line, “... in which a young Thucydides happened to be in the assembly”.
Hence, correct answer is option 2.
Plutarch, a Theban by birth, once composed a "great collection of slanders" against Herodotus, titled On the Malignity of Herodotus, including the allegation that the historian was prejudiced against Thebes because the authorities there had denied him permission to set up a school. Dio Chrysostom similarly attributed prejudice against Corinth to the historian's bitterness over financial disappointments, an account supported by Marcellinus in his Life of Thucydides. In fact Herodotus was in the habit of seeking out information from empowered sources within communities, such as aristocrats and priests, and this also occurred at an international level, with Periclean Athens becoming his principal source of information about events in Greece. As a result, his reports about Greek events are often coloured by Athenian bias against rival states  Thebes and Corinth in particular. Thus the accounts given by Plutarch and Chrysostom may be regarded as 'payback'. Herodotus wrote his Histories in the Ionian dialect yet he was born in Halicarnassus, originally a Dorian settlement. According to the Suda (an 11thcentury encyclopaedia of Byzantium which likely took its information from traditional accounts), Herodotus learned the Ionian dialect as a boy living on the island of Samos, whither he had fled with his family from the oppressions of Lygdamis, tyrant of Halicarnassus and grandson of Artemisia I of Caria. The Suda also informs us that Herodotus later returned home to lead the revolt that eventually overthrew the tyrant. However, thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere. Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account.
It was conventional in Herodotus’ day for authors to 'publish' their works by reciting them at popular festivals. According to Lucian, Herodotus took his finished work straight from Asia Minor to the Olympic Games and read the entire Histories to the assembled spectators in one sitting, receiving rapturous applause at the end of it.. According to a very different account by an ancient grammarian, Herodotus refused to begin reading his work at the festival of Olympia until some clouds offered him a bit of shade, by which time however the assembly had dispersed  thus the proverbial expression "Herodotus and his shade". Herodotus’ recitation at Olympia was a favourite theme among ancient writers and there is another interesting variation on the story to be found in the Suda, Photius and Tzetzes, in which a young Thucydides happened to be in the assembly with his father and burst into tears during the recital, whereupon Herodotus observed prophetically to the boy's father: "Thy son's soul yearns for knowledge".
Q.According to the author, Herodotus learned the Ionian dialect in
The passage states, “According to the Suda Herodotus learned the Ionian dialect as a boy living on the island of Samos”, but the author states, “thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere”, which means that the author believes that Herodotus learned the dialect in Halicarnassus.
Hence, correct answer is option 3.
Plutarch, a Theban by birth, once composed a "great collection of slanders" against Herodotus, titled On the Malignity of Herodotus, including the allegation that the historian was prejudiced against Thebes because the authorities there had denied him permission to set up a school. Dio Chrysostom similarly attributed prejudice against Corinth to the historian's bitterness over financial disappointments, an account supported by Marcellinus in his Life of Thucydides. In fact Herodotus was in the habit of seeking out information from empowered sources within communities, such as aristocrats and priests, and this also occurred at an international level, with Periclean Athens becoming his principal source of information about events in Greece. As a result, his reports about Greek events are often coloured by Athenian bias against rival states  Thebes and Corinth in particular. Thus the accounts given by Plutarch and Chrysostom may be regarded as 'payback'. Herodotus wrote his Histories in the Ionian dialect yet he was born in Halicarnassus, originally a Dorian settlement. According to the Suda (an 11thcentury encyclopaedia of Byzantium which likely took its information from traditional accounts), Herodotus learned the Ionian dialect as a boy living on the island of Samos, whither he had fled with his family from the oppressions of Lygdamis, tyrant of Halicarnassus and grandson of Artemisia I of Caria. The Suda also informs us that Herodotus later returned home to lead the revolt that eventually overthrew the tyrant. However, thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere. Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account.
It was conventional in Herodotus’ day for authors to 'publish' their works by reciting them at popular festivals. According to Lucian, Herodotus took his finished work straight from Asia Minor to the Olympic Games and read the entire Histories to the assembled spectators in one sitting, receiving rapturous applause at the end of it.. According to a very different account by an ancient grammarian, Herodotus refused to begin reading his work at the festival of Olympia until some clouds offered him a bit of shade, by which time however the assembly had dispersed  thus the proverbial expression "Herodotus and his shade". Herodotus’ recitation at Olympia was a favourite theme among ancient writers and there is another interesting variation on the story to be found in the Suda, Photius and Tzetzes, in which a young Thucydides happened to be in the assembly with his father and burst into tears during the recital, whereupon Herodotus observed prophetically to the boy's father: "Thy son's soul yearns for knowledge".
Q.Find the odd one out
First three options refer to persons and the place to which they are associated; only option 4 gives the names of two persons.
Hence, correct answer is option 4.
Plutarch, a Theban by birth, once composed a "great collection of slanders" against Herodotus, titled On the Malignity of Herodotus, including the allegation that the historian was prejudiced against Thebes because the authorities there had denied him permission to set up a school. Dio Chrysostom similarly attributed prejudice against Corinth to the historian's bitterness over financial disappointments, an account supported by Marcellinus in his Life of Thucydides. In fact Herodotus was in the habit of seeking out information from empowered sources within communities, such as aristocrats and priests, and this also occurred at an international level, with Periclean Athens becoming his principal source of information about events in Greece. As a result, his reports about Greek events are often coloured by Athenian bias against rival states  Thebes and Corinth in particular. Thus the accounts given by Plutarch and Chrysostom may be regarded as 'payback'. Herodotus wrote his Histories in the Ionian dialect yet he was born in Halicarnassus, originally a Dorian settlement. According to the Suda (an 11thcentury encyclopaedia of Byzantium which likely took its information from traditional accounts), Herodotus learned the Ionian dialect as a boy living on the island of Samos, whither he had fled with his family from the oppressions of Lygdamis, tyrant of Halicarnassus and grandson of Artemisia I of Caria. The Suda also informs us that Herodotus later returned home to lead the revolt that eventually overthrew the tyrant. However, thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere. Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account.
It was conventional in Herodotus’ day for authors to 'publish' their works by reciting them at popular festivals. According to Lucian, Herodotus took his finished work straight from Asia Minor to the Olympic Games and read the entire Histories to the assembled spectators in one sitting, receiving rapturous applause at the end of it.. According to a very different account by an ancient grammarian, Herodotus refused to begin reading his work at the festival of Olympia until some clouds offered him a bit of shade, by which time however the assembly had dispersed  thus the proverbial expression "Herodotus and his shade". Herodotus’ recitation at Olympia was a favourite theme among ancient writers and there is another interesting variation on the story to be found in the Suda, Photius and Tzetzes, in which a young Thucydides happened to be in the assembly with his father and burst into tears during the recital, whereupon Herodotus observed prophetically to the boy's father: "Thy son's soul yearns for knowledge".
Q.Match the given words with their synonyms
As per the synonyms of words given in thesaurus, Option 4 gives us the correct combination of words and meanings. Hence, the correct answer is option 4.
Plutarch, a Theban by birth, once composed a "great collection of slanders" against Herodotus, titled On the Malignity of Herodotus, including the allegation that the historian was prejudiced against Thebes because the authorities there had denied him permission to set up a school. Dio Chrysostom similarly attributed prejudice against Corinth to the historian's bitterness over financial disappointments, an account supported by Marcellinus in his Life of Thucydides. In fact Herodotus was in the habit of seeking out information from empowered sources within communities, such as aristocrats and priests, and this also occurred at an international level, with Periclean Athens becoming his principal source of information about events in Greece. As a result, his reports about Greek events are often coloured by Athenian bias against rival states  Thebes and Corinth in particular. Thus the accounts given by Plutarch and Chrysostom may be regarded as 'payback'. Herodotus wrote his Histories in the Ionian dialect yet he was born in Halicarnassus, originally a Dorian settlement. According to the Suda (an 11thcentury encyclopaedia of Byzantium which likely took its information from traditional accounts), Herodotus learned the Ionian dialect as a boy living on the island of Samos, whither he had fled with his family from the oppressions of Lygdamis, tyrant of Halicarnassus and grandson of Artemisia I of Caria. The Suda also informs us that Herodotus later returned home to lead the revolt that eventually overthrew the tyrant. However, thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere. Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account.
It was conventional in Herodotus’ day for authors to 'publish' their works by reciting them at popular festivals. According to Lucian, Herodotus took his finished work straight from Asia Minor to the Olympic Games and read the entire Histories to the assembled spectators in one sitting, receiving rapturous applause at the end of it.. According to a very different account by an ancient grammarian, Herodotus refused to begin reading his work at the festival of Olympia until some clouds offered him a bit of shade, by which time however the assembly had dispersed  thus the proverbial expression "Herodotus and his shade". Herodotus’ recitation at Olympia was a favourite theme among ancient writers and there is another interesting variation on the story to be found in the Suda, Photius and Tzetzes, in which a young Thucydides happened to be in the assembly with his father and burst into tears during the recital, whereupon Herodotus observed prophetically to the boy's father: "Thy son's soul yearns for knowledge".
Q.The proverbial expression "Herodotus and his shade" most probably stands for
The incident that has been narrated in the passage explains how Herodotus lost a golden opportunity because of his own delay in action for foolish reasons, therefore, option 4 comes closest.
Hence, Option 4 is the correct answer.
Plutarch, a Theban by birth, once composed a "great collection of slanders" against Herodotus, titled On the Malignity of Herodotus, including the allegation that the historian was prejudiced against Thebes because the authorities there had denied him permission to set up a school. Dio Chrysostom similarly attributed prejudice against Corinth to the historian's bitterness over financial disappointments, an account supported by Marcellinus in his Life of Thucydides. In fact Herodotus was in the habit of seeking out information from empowered sources within communities, such as aristocrats and priests, and this also occurred at an international level, with Periclean Athens becoming his principal source of information about events in Greece. As a result, his reports about Greek events are often coloured by Athenian bias against rival states  Thebes and Corinth in particular. Thus the accounts given by Plutarch and Chrysostom may be regarded as 'payback'. Herodotus wrote his Histories in the Ionian dialect yet he was born in Halicarnassus, originally a Dorian settlement. According to the Suda (an 11thcentury encyclopaedia of Byzantium which likely took its information from traditional accounts), Herodotus learned the Ionian dialect as a boy living on the island of Samos, whither he had fled with his family from the oppressions of Lygdamis, tyrant of Halicarnassus and grandson of Artemisia I of Caria. The Suda also informs us that Herodotus later returned home to lead the revolt that eventually overthrew the tyrant. However, thanks to recent discoveries of some inscriptions on Halicarnassus, dated to about that time, we now know that the Ionic dialect was used there even in official documents, so there was no need to assume like the Suda that he must have learned the dialect elsewhere. Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account.
It was conventional in Herodotus’ day for authors to 'publish' their works by reciting them at popular festivals. According to Lucian, Herodotus took his finished work straight from Asia Minor to the Olympic Games and read the entire Histories to the assembled spectators in one sitting, receiving rapturous applause at the end of it.. According to a very different account by an ancient grammarian, Herodotus refused to begin reading his work at the festival of Olympia until some clouds offered him a bit of shade, by which time however the assembly had dispersed  thus the proverbial expression "Herodotus and his shade". Herodotus’ recitation at Olympia was a favourite theme among ancient writers and there is another interesting variation on the story to be found in the Suda, Photius and Tzetzes, in which a young Thucydides happened to be in the assembly with his father and burst into tears during the recital, whereupon Herodotus observed prophetically to the boy's father: "Thy son's soul yearns for knowledge".
Q.The author is least likely to agree with
The author doesn’t agree with option 1 as he clearly says, “Moreover, the fact that the Suda is the only source we have for the heroic role played by Herodotus, as liberator of his birthplace, is itself a good reason to doubt such a romantic account”.
Option 3 is an allegation by Plutarch, but we can nowhere infer anything about the author’s attitude towards it.
Option 4 is one account given by a historian, but the author mentions other views also and is not sure of what had exactly happened, so there can be no question of an agreement or disagreement.
Hence, correct answer is option 1.
In each of the following sentences, parts of the sentence are left blank. Beneath each sentence, different ways of completing the sentence are indicated. Choose the best alternative among them.
Q.There is a sense of desperation and hopelessness_______.
Options 2 and 3 are incorrect because of the incorrect usage of preposition. The correct usage is ‘hopelessness about.’ In option 4, the preposition ‘in’ is missing.
Hence, the correct answer is option 1.
Select the odd man out from the given alternatives.
Precarious
The meaning of the given word in options 2, 3 and 4 is “unstable and uncertain” where as the meaning in option 1 is “risky and dangerous”.
Hence, the correct answer is option 1.
Answer the following question based on the information given below.
Q.In which of the following sentences is the usage of the word ‘ride’ inappropriate?
All the sentences are relevant usages of the word “ride”. However, the phrase is wrongly used in option 3.
The correct phrase is ‘to be taken for a ride’, not ‘the ride’  it means ‘to be swindled’.
Hence, the correct answer is option 3.
John was broadminded in his tastes and in his interests. He sympathized with everyone around him. He could be called secular and liberal.
Which among the following options best describes John’s nature/approach?
“Chivalrous” means ‘having the qualities of courage, courtesy, and loyalty; considerate and courteous to women; gracious and honourable toward an enemy, especially a defeated one, and toward the weak or poor “Efficacious” means ‘to be effective or producing the desired result.’ “Benevolent” means ‘characterized by or expressing goodwill or kindly feelings; desiring to help others; charitable.’ All the three words do not talk about being ‘broadminded’ and ‘liberal’.
The word “Catholic” means ‘broad or wideranging in tastes, interests, or the like; having sympathies with all; broadminded; liberal; universal in extent; involving all; of interest to all; pertaining to the whole Christian body or church.
Hence, the correct answer is option 2.
Fill in the blanks with the most appropriate word/set of words from gjven options. _____is used before enumerating examples.
A colon is used in the sentence when examples have to be given.
Hence, the correct answer is option 2.
Fill in the blanks with the correct word for the definition.
A / An _______ is a series of dots th at usually indicates an intentional omission of a word, sentence or whole section from the original text being quoted.
The definition provided is that of an ellipsis. In British typography, an interpunct ■ is sometimes called a space dot. Dictionaries often use the interpunct to indicate syllabification. Period is another name for a full stop.
Hence, the correct answer is option 2.
The word ‘juxtapose’ means to compare by putting next to each other. Based on this definition, ‘distance’ would be closest to an antonym of juxtapose. “Contrapose” is not an English word. “Align” is a synonym of “juxtapose” while “hide” is irrelevant in this context.
Hence, the correct answer is option 1.
Fill in the blank with the appropriate option,
_____has ever climbed that mountain.
The only word that fits in the context is “nobody”.
Hence, the correct answer is option 3.
Fill in the blank with the appropriate option.
Wild___hunting is banned in this country.
“Boar” is ‘a wild pig’, “Boer” is ‘a South African of Dutch descent’, “boor” is ‘a tasteless buffoon’ and “bore” is ‘not interesting’.
Hence, the correct answer is option 1.
Fill in the blank with the appropriate option.
Q. We currently____that this will take place in early 2020.
“Envisage” means ‘to visualize; imagine’. The other options are contextually not apt.
Hence, the correct answer is option 3.
Who has been conferred with the Lifetime Achievement award by The Sports Journalists Association of Mumbai?
Sunil Gavaskar was today conferred with the Golden Jubilee Lifetime Achievement Award by the Sports Journalists' Association of Mumbai (SJAM) here. The award was presented by former India captain Ajit Wadekar and former India player Madhav Apte at the Cricket Club of India here. Gavaskar was presented with a citatation and a certificate which has details of all his 34 centuries.
The Kaushalya SETU initiative has been launched by which state government for students?
Which of the following state has launched the “Smart Village Smart Ward” programme which aims at people's participation in every village for its comprehensive development?
The 2016 BRICS Science and Technology Senior Official Meeting was held in which of the following cities?
Which company has acquired UKbased twowheeler maker BSA company for Rs 28 crore?
The mobile wallet app “Buddy” was launched by which bank in 2015?
"Mobile is going to be at the centre of this transformation and this app will help us strengthen our proposition," said SBI Chairwoman. MUMBAI: Country's largest lender State Bank of India today launched a mobile wallet app, SBI Buddy, in collaboration with Accenture and Mastercard.
Who has been selected for the 2016 Mathrubhumi Literary award?
What is the India's rank among the 51 developing countries in female literacy as per International Commission on Financing Global Education Opportunity?
What is the current repo rate, as per the recently released 4th bimonthly monetary policy statement for the year 201617?
The State Bank of India has tiedup with which ecommerce firm to offer preapproved EMI facility to shop online?
Who has been appointed as the new Chief Election Commissioner of India?
Which of the following are the two destinations for India's First AC doubledecker Shatabdi train announced in Oct 2015?
Which Italian city has honoured the Dalai Lama with an honorary Citizenship award?
Lamberto Bertole has honoured the Dalai Lama Tenzin Gyatso, Tibet’s exiled spiritual leader with the Milan Honorary Citizenship award at a ceremony held at the Arcimboldi Theatre in Milan, Italy. Bertole is the Chairman of the Council of Milan.
The 2016 FIFA U17 Women's world cup has been won by which country?
Which of the following IndoAmerican author has won the 2015 National Humanities Medal?
Which of the following Indian IT company agreed to acquire US based engineering and design services firm Butler America Aerospace, LLC (Butler Aerospace)?
Which of the following is the manned spacecraft of China carrying two astronauts that was launched in October 2016?
Who among the following has won Stuttgart Open Mens double's title2015?
Who has been awarded with the first International Prize in Statistics?
How much loan amount has been sanctioned by World Bank for construction of the Eastern Dedicated Freight Corridor (EDFC)  III project of India?
The Government of India (GoI) has signed $650 million loan agreement with the World Bank (WB) for construction of the Eastern Dedicated Freight Corridor (EDFC)III project. The EDFCIII will build the 401 km LudhianaKhurja section which goes through Punjab, Haryana and Uttar Pradesh. The purpose of the EDFC project is to augment railway freight carrying capacity along the Railway Corridor between Ludhiana and Kolkata. The EDFC is a freightonly rail line that will help faster and more efficient movement of raw materials and finished goods between the north and eastern parts of India.
Which is the name of the platform provided by Kotak Mahindra Bank (KMB) for Facebookbased funds transfer?
Which Indian sportsperson has been appointed as a member of the International Olympic Committee's Athletes Commission?
As per the data provided by RBI to the finance ministry, which bank had the highest nonperforming assets among PSU banks as on December 2014?
Who among the following has won the 2016 Women's Singles Wimbledon Championship?
Who has been sworn  in as the new Chief Justice of Kerala High Court?
Justice Mohan M Shantanagoudar has been sworn in as the new Chief Justice of Kerala High Court. He was administered oath by the Governor Justice (Retd) P. Sathasivam at a function held at Raj Bhavan. Prior to this appointment, he served as the acting chief justice of the Kerala High Court.
Who among the following has clinched the 2016 Hero Indian Open title of Golf?
Who has been appointed as the first president of the BRICS Bank?
Who was last awarded the President’s award for Iconic Mother of the Year in 2015?
What amount has been loaned by the Asian Development Bank (ADB) to Bangladesh for the IndiaBangladesh electricity network?
Which of the following Water Jet Fast Attack Craft Car Nicobar Class Vessel has commissioned into the Indian Navy in October 2016?
The 315tonne INS Tahiyu has been commissioned into the Indian Navy and is allotted to the Eastern Fleet of the Navy. INS Tahiyu is the 6th Water Jet Fast Attack Craft (WJFAC) Car Nicobar Class vessel, which is built by Kolkatabased shipyard Garden Reach Shipbuilders and Engineers (GRSE). It is an improved version of the earlier vessels and it can achieve a top operating speed of 35 knots/ hour.The ship will be commanded by Commander Ajay Kashov and will have four officers and 41 crew members
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