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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

A can complete 4/5th of a piece of work in 12 days and B can complete 1/3rd of the same work in 9 days. If both A and B work together, they can do 7/15th of that work in how many days?

Correct

Explanation:
A can do 4/5th of the work in 12 days, so whole work in 5/4 * 12 = 15 days.
B can do 1/3th of the work in 9 days, so whole work in 3/1 * 9 = 27 days.
A and B together can complete whole work in 15*27/(15+27) = 15*9/14 days.
So 7/15th work in 7/15 * (15*9/14)

Incorrect

Explanation:
A can do 4/5th of the work in 12 days, so whole work in 5/4 * 12 = 15 days.
B can do 1/3th of the work in 9 days, so whole work in 3/1 * 9 = 27 days.
A and B together can complete whole work in 15*27/(15+27) = 15*9/14 days.
So 7/15th work in 7/15 * (15*9/14)

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

Rs 310 are to be divided among A, B and C in the ratio 1/2 : 1/3 : 1/5, but by mistake it was divided in the ratio of 2 : 3 : 5 among them respectively. How much did A lost in this transaction?

Correct

Explanation:
Ratio in which divided = 2 : 3 : 5
Actual ratio = 1/2 : 1/3 : 1/5 or 15 : 10 : 6
Both ratios show that A and B have lost and C has gained the most.
A got = 2/(2+3+5) * 310 = 62
Actually A would have got = 15/(15+10+6) * 310 = 150
So A lost 150 – 62

Incorrect

Explanation:
Ratio in which divided = 2 : 3 : 5
Actual ratio = 1/2 : 1/3 : 1/5 or 15 : 10 : 6
Both ratios show that A and B have lost and C has gained the most.
A got = 2/(2+3+5) * 310 = 62
Actually A would have got = 15/(15+10+6) * 310 = 150
So A lost 150 – 62

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

The train goes from station A to B and back to station A in 32 hours where total distance covered by train is 1800 km. The train halted for two hours after reaching station B. If the average speed of train from A to B is 20% more than that from B to A, what is the speed of train from A to B station?

Correct

Explanation:
Total distance is 1800
So 900 from A to B and then 900 from B to A
Let speed in return journey is x, then in A to B is (120/100)*x = 6x/5
So 900/x + 900/(6x/5) = 30
Solve, x = 55
So from A to B is 6*55/5

Incorrect

Explanation:
Total distance is 1800
So 900 from A to B and then 900 from B to A
Let speed in return journey is x, then in A to B is (120/100)*x = 6x/5
So 900/x + 900/(6x/5) = 30
Solve, x = 55
So from A to B is 6*55/5

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

A’s present age is 1/3 of B’s and B’s present age is 9/13 of C’s present age. The sum of their present ages is 125 years. What is the sum of ages of B and A?

Correct

Explanation:
B = 9C/13 and A = 1/3(9C/13) = 3C/13
So 3C/13 + 9C/13 + C = 125
Solve, C = 65, so A = 3*65/13 = 15 and B is then 9*65/13 = 45
So A+B = 15+45 = 60

Incorrect

Explanation:
B = 9C/13 and A = 1/3(9C/13) = 3C/13
So 3C/13 + 9C/13 + C = 125
Solve, C = 65, so A = 3*65/13 = 15 and B is then 9*65/13 = 45
So A+B = 15+45 = 60

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

Two varieties of rice at Rs 42 per kg and Rs 50 per kg respectively are mixed in the ratio 5 : 3. The mixture is then sold at Rs 36 per kg. What is the loss %?

Correct

Explanation:
Let CP of mixture is x
By method of allegation:
A……………….B
42………………50
. …………x
(50-x) (x-42)
Then, (50-x)/(x-42) = 5/3
Solve, x = 45 = CP
SP = 36
So loss% = [(45-36)/45] * 100

Incorrect

Explanation:
Let CP of mixture is x
By method of allegation:
A……………….B
42………………50
. …………x
(50-x) (x-42)
Then, (50-x)/(x-42) = 5/3
Solve, x = 45 = CP
SP = 36
So loss% = [(45-36)/45] * 100

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Directions (6 – 10): Study the given pie chart carefully and answer the questions that follow.
The pie chart shows the distribution of a person’s monthly salary over different expense heads.

For a person, whose monthly salary is Rs 60,000, how many items are there on which he has to spend more than Rs 10,000 per month?

Correct

Explanation:
Shortcut-
(x/100)*60000 = 10000, gives x = 16.67%
So the ones having more expense % than 16.67% which is house rent and savings.

Incorrect

Explanation:
Shortcut-
(x/100)*60000 = 10000, gives x = 16.67%
So the ones having more expense % than 16.67% which is house rent and savings.

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Directions (6 – 10): Study the given pie chart carefully and answer the questions that follow.
The pie chart shows the distribution of a person’s monthly salary over different expense heads.

For a person, whose monthly salary is Rs 40,000, find the approximate annual saving for such a person.

Correct

Explanation:
Savings over month = (23/100)*40,000 = 9200
So annually = 9200*12 = 1,10,400

Incorrect

Explanation:
Savings over month = (23/100)*40,000 = 9200
So annually = 9200*12 = 1,10,400

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Directions (6 – 10): Study the given pie chart carefully and answer the questions that follow.
The pie chart shows the distribution of a person’s monthly salary over different expense heads.

What will be the annual salary of a person who follows the same expense pattern with spending Rs 1000 monthly on petrol?

Correct

Explanation:
(10/100)*x = 1000
So x = 10,000
So annual salary = 120,000

Incorrect

Explanation:
(10/100)*x = 1000
So x = 10,000
So annual salary = 120,000

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

Directions (6 – 10): Study the given pie chart carefully and answer the questions that follow.
The pie chart shows the distribution of a person’s monthly salary over different expense heads.

If the monthly salary of a person is Rs 52,000, then approximately by how much % is his expense on functions more than on clothes?

Correct

Explanation:
Since salary will remain same, no need to calculate expenses on functions and clothes. Simply:
Required % = (15-7)/7 * 100

Incorrect

Explanation:
Since salary will remain same, no need to calculate expenses on functions and clothes. Simply:
Required % = (15-7)/7 * 100

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Directions (6 – 10): Study the given pie chart carefully and answer the questions that follow.
The pie chart shows the distribution of a person’s monthly salary over different expense heads.

The angle made at the centre of the pie chart by the sector representing the expense on food and house rent together is: