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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

4 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 years

Incorrect

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 points

Category: Quantitative Aptitude

Two 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/h

Incorrect

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 points

Category: Quantitative Aptitude

A, 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 29700

Incorrect

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 points

Category: Quantitative Aptitude

A shopkeeper gives two discounts of 50% and 30% on an item. What is the total equivalent discount?

Time 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 = 100

Incorrect

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 points

Category: Quantitative Aptitude

A 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 days

Incorrect

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 points

Category: Quantitative Aptitude

David 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 33120

Incorrect

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 points

Category: Quantitative Aptitude

A, 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 9000

Incorrect

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 points

Category: Quantitative Aptitude

Tom 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 37000

Incorrect

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 points

Category: Quantitative Aptitude

Ratio 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 l

Incorrect

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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