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Question 1 of 10
1. Question
1 pointsCategory: Quantitative Aptitude4 years ago ratio of A’s age to B’s age was 4:3 respectively. 5 years hence, the ratio of A’s age to B’s age will be 11:9 respectively. What is the present age of B?
Correct
Answer 5) 22 years
Explanation
4:3 = 8:6
We have,
8:6
11:9
The difference, 3 = 9, 1 = 3 and 6 = 18
Therefore, age of B 4 years ago = 18
Present age of B = 18 + 4 = 22 yearsIncorrect
Answer 5) 22 years
Explanation
4:3 = 8:6
We have,
8:6
11:9
The difference, 3 = 9, 1 = 3 and 6 = 18
Therefore, age of B 4 years ago = 18
Present age of B = 18 + 4 = 22 years 
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeTwo trains having lengths 200 m and 240 m cross each other in 8s while travelling in the same direction and in 88s while travelling in the opposite direction. What is the speed of the slower train (in km/h)?
Correct
Answer 1) 90 km/h
Explanation
Let the speeds of the trains are x and y (x>y)
Therefore,
(200 + 240)/(x + y) = 8
x + y = 440/8 = 55
Also,
440/(x – y) = 88
x – y = 5
By solving both equations, we have,
x = 30, y = 25
We have, 25 m/s = 25 × 18/5 = 90 km/hIncorrect
Answer 1) 90 km/h
Explanation
Let the speeds of the trains are x and y (x>y)
Therefore,
(200 + 240)/(x + y) = 8
x + y = 440/8 = 55
Also,
440/(x – y) = 88
x – y = 5
By solving both equations, we have,
x = 30, y = 25
We have, 25 m/s = 25 × 18/5 = 90 km/h 
Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeA, B and C invest Rs 18000, Rs 22000 and Rs 15000 respectively in a business. However, after 6 months B withdraws half of his amount and C withdraws 1/3rd of his amount. After a year, total profit earned by them is Rs 84600. What is the share of B in that profit?
Correct
Answer 2) Rs 29700
Explanation
Profit will be divided between A, B and C in the ratio
18000 × 12 : 22000 × 6 + 11000 × 6 : 15000 × 6 + 10000 × 6 = 36 : 33 : 25
Share of B = 84600/(36 + 33 + 25) × 33 = 84600/94 × 33 = Rs 29700Incorrect
Answer 2) Rs 29700
Explanation
Profit will be divided between A, B and C in the ratio
18000 × 12 : 22000 × 6 + 11000 × 6 : 15000 × 6 + 10000 × 6 = 36 : 33 : 25
Share of B = 84600/(36 + 33 + 25) × 33 = 84600/94 × 33 = Rs 29700 
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeA shopkeeper gives two discounts of 50% and 30% on an item. What is the total equivalent discount?
Correct
Answer 5) 65%
Explanation
Equivalent discount = 50 + 30 – 50 × 30/100 = 80 – 15 = 65%Incorrect
Answer 5) 65%
Explanation
Equivalent discount = 50 + 30 – 50 × 30/100 = 80 – 15 = 65% 
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeTime taken by a boat to cover x km downstream is equal to the time taken by it to cover (x – 40) km upstream. The speed of the boat downstream is 8 km/h more than its speed upstream and speed of the boat in still water is 16 km/h. What is the value of x?
Correct
Answer 2) 100
Explanation
Let the speed of the stream is m km/h.
We have,
20 + m – (20 – m) = 8
2m = 8, m = 4 km/h
Also, x/(16 + 4) = (x – 40)/(16 – 4)
x/20 = (x – 40)/12
3x = 5x – 200
2x = 200
x = 100Incorrect
Answer 2) 100
Explanation
Let the speed of the stream is m km/h.
We have,
20 + m – (20 – m) = 8
2m = 8, m = 4 km/h
Also, x/(16 + 4) = (x – 40)/(16 – 4)
x/20 = (x – 40)/12
3x = 5x – 200
2x = 200
x = 100 
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeA is 50% more efficient than B. B started the work and do it for x days and remaining work was completed by A in (x + 4) days. Ratio of work done by A and B is 2:1 respectively. In how many days will A and B complete the work while working together?
Correct
Answer 1) 14.5 days
Explanation
Let the work done by B in one day = y
Then the work done by A in one day = 150% of y = 1.5y
Therefore,
1.5y × (x + 4) / y × x = 2/1
1.5x + 6 = 2x
0.5x = 6, x = 12
x + 4 = 16
No of days taken by A to complete the work alone = 12/1.5 + 16 = 8 + 16 = 24
No of days taken by B to complete the work alone = 16 × 1.5 + 12 = 24 + 12 = 36
LCM of 24 and 36 = 72
No of days taken by them to complete the work while working together = 72/(72/24 + 72/36) = 72/5 = 14.5 daysIncorrect
Answer 1) 14.5 days
Explanation
Let the work done by B in one day = y
Then the work done by A in one day = 150% of y = 1.5y
Therefore,
1.5y × (x + 4) / y × x = 2/1
1.5x + 6 = 2x
0.5x = 6, x = 12
x + 4 = 16
No of days taken by A to complete the work alone = 12/1.5 + 16 = 8 + 16 = 24
No of days taken by B to complete the work alone = 16 × 1.5 + 12 = 24 + 12 = 36
LCM of 24 and 36 = 72
No of days taken by them to complete the work while working together = 72/(72/24 + 72/36) = 72/5 = 14.5 days 
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeDavid borrowed Rs 24000 at compound interest with rate of interest as 15% for the first year and 20% for the second year. The amount he will have to pay after two years is:
Correct
Answer 3) Rs 33120
Explanation
Effective interest percentage after two years = 15 + 20 + 15 × 20/100 = 35 + 3 = 38%
Amount to be paid after two years = 24000 + 38% of 24000 = 24000 + 9120 = Rs 33120Incorrect
Answer 3) Rs 33120
Explanation
Effective interest percentage after two years = 15 + 20 + 15 × 20/100 = 35 + 3 = 38%
Amount to be paid after two years = 24000 + 38% of 24000 = 24000 + 9120 = Rs 33120 
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeA, B and C started a business by investing the money in the ratio 5:7:3 respectively. After 6 months, A increased his capital by 200%. If the profit earned by B at the end of the year is Rs 21000, what is the profit earned by C?
Correct
Answer 4) Rs 9000
Explanation
The profit will be divided in the ratio = 5 × 6 + 15 × 6 : 7 × 12 : 3 × 12 = 10:7:3
Profit earned by C = 21000/7 × 3 = Rs 9000Incorrect
Answer 4) Rs 9000
Explanation
The profit will be divided in the ratio = 5 × 6 + 15 × 6 : 7 × 12 : 3 × 12 = 10:7:3
Profit earned by C = 21000/7 × 3 = Rs 9000 
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeTom spends 12% of his income on transport, 20% on groceries and 17% on entertainment. He saves rest of his income. If the difference between his savings and the money spent on entertainment is Rs 12580, what is his total income?
Correct
Answer 3) Rs 37000
Explanation
Percentage of income saved by Tom = 100 – (12 + 20 + 17) = 51%
We have,
(51 – 17)% = 12580
34% = 12580, 1% = 12580/34 = 370, 100% = Rs 37000Incorrect
Answer 3) Rs 37000
Explanation
Percentage of income saved by Tom = 100 – (12 + 20 + 17) = 51%
We have,
(51 – 17)% = 12580
34% = 12580, 1% = 12580/34 = 370, 100% = Rs 37000 
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeRatio of milk and water in a vessel is 9:11 respectively. 1/3rd of the mixture is replaced by 5l of water. Now the ratio of milk and water is 2:3 respectively. What was the initial quantity of water in the vessel?
Correct
Answer 3) 33 l
Explanation
Let the initial quantity of milk is 9x l and initial quantity of water is 11x l.
Quantity of milk after replacing 1/3rd of mixture = 9x – 1/3 × 9x = 9x – 3x = 6x l
And the quantity of water = 11x – 11x/3 + 5 = (22x/3 + 5) l
We have,
6x/(22x/3 + 5) = 2/3
18x/(22x + 15) = 2/3
54x = 44x + 30
10x = 30, x = 3
Initial quantity of water = 11 × 3 = 33 lIncorrect
Answer 3) 33 l
Explanation
Let the initial quantity of milk is 9x l and initial quantity of water is 11x l.
Quantity of milk after replacing 1/3rd of mixture = 9x – 1/3 × 9x = 9x – 3x = 6x l
And the quantity of water = 11x – 11x/3 + 5 = (22x/3 + 5) l
We have,
6x/(22x/3 + 5) = 2/3
18x/(22x + 15) = 2/3
54x = 44x + 30
10x = 30, x = 3
Initial quantity of water = 11 × 3 = 33 l
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