**Tech Mahindra Quantitative Ability Questions**

**Q1) On buying an article for Rs. 300 and then selling it, a shopkeeper incurs a loss of 11%. If the customer sold the same article to his friend for a profit of 10%, what was the price at which the customer sold the article to his friend?**

A. Rs. 293.70

B. Rs. 299.9

C. Rs. 240.5

D. Rs. 297.50

**Answer :**Option A

**Explanation: **

Cost price of the article= Rs. 300

Selling price of the article to the customer=(100-11) % of cost price of article.

= (89/100) ×300=267.

Now the cost price of the article for the customer is Rs. 267

Customer makes a profit of 10%.

Selling price of the article by the customer to his friend is (110/100) ×267=293.7

Therefore, the customer sells the article at Rs. 293.7 to his friend.

**Q2) Raul earns $9,600 per month. He saves $1,920 per month and sends it back home. What percentage of his total earnings does he send back home every month?**

A.17.5%

B.20 %

C.25 %

D.15 %

**Answer :**Option B

**Explanation:**

**Q3) Working together Andy and Angela can complete a work in 6 days. Working individually Andy can complete the same work in 10 days. What time can Angela take to complete the work alone?**

A.12

B.15

C.13

D.14

E.16

**Answer :**Option B

**Explanation:**

**Q4) A boy has denominations of ten cents, twenty cents and one dollar coins in the ratio 10:17:7 respectively in his piggy bank. On counting it was found that the total amount was $57. How many coins of denomination 20 cents were there in the piggy bank?**

A.114

B.100

C.85

D.95

**Answer :**Option C

**Explanation: **Let's say, no. of coins of 10 cents = x

No. of coins of 20 cents = 1.7x

No. of coins of one dollar = 0.7x

One dollar is equal to 100 cents i.e., 10 cents = 0.1 dollar

0.1*x+0.2*1.7x+1*0.7x = $57

1.14*x = 57

X = 50

No. of coins of 20 cents = 1.7*x

=1.7*50

=85

**Q5) The average of five quantities is 6. The average of two of them is 3. What is the average of the remaining three quantities?**

A.6.5

B.8

C.6

D.8.5

**Answer :**Option B

**Explanation: **Average of five quantities = 6.

Then, sum of five quantities = 30.

Average of two of them is 3, then sum of two of them is 6.

From the above statement, sum of the remaining three quantities = 24.

Then, average of the remaining three quantities = 24/3 = 8.

**Q6) Raja buys some apples at the rate of four for a rupee and same numbers of oranges at three for a rupee. To make a profit of 25%, Raja should sell 6 apples for .**

A. 5.75

B. 6.75

C. 3.75

D. 4.75

**Answer :**Option D

**Explanation: **let Raja buys ‘x’ apples at rate four for a rupee and ‘x’ apples at three for a rupee.

So, cost price = x/4 + x/3

Question is asking about 6 apples

Then, CP = 6/4 + 6/3 = 3.5

Now SP = (125/100) *3.5 = 4.75

Therefore, Raja should sell 6 apples for 4.75

**Q7) Prasanth bought an article at a 25 percent discount on the labeled price. He again sells the article at 20 percent on labeled price. Find the percent profit earned by Prasanth in the whole transaction**

A. 50%

B. 60%

C. 30%

D. 40%

**Answer :**Option B

**Explanation: **Let the labelled price is 100.

Prasanth bought it for 75 after getting a 25% discount.

Now he sells the article at (120/100) *100 = 120.

So % profit he earns = (45/75) *100 = 60%

**Q8) Due to my good performance at work, I received three successive increments of equal percentage. My salary increased from Rs.100 to Rs.133.1. By what percentage is my salary raised each time?**

A. 12%

B. 10%

C. 28%

D. 19%

**Answer :**Option B

**Explanation: **This question can be solved through option verification,

First option – 12%

After first increment, 100 + 12%100 = 112

Then second increment, 112 + 12%112 = 125.44

Then last which is third increment, 125.44 + 12%125.44 = 140.49, which is not satisfying the condition of increasing to 133.1 after three successive increments.

Similarly, Second option – 10%

After first increment, 100 + 10%100 = 110

Then second increment, 110 + 10%110 = 121

Then last which is third increment, 121 + 10%121 = 133.1, which satisfies the given condition. So, option B is the answer.

**Q9) If a car requires 15 liters of fuel on day 1 of the journey and 20 liters of fuel on day 2, then what is the average fuel consumption of the car over the two days journey?**

A. 17.5 liters

B. 18 liters

C. 19 liters

D. 20 liters

**Answer :**Option A

**Explanation:**

**Q10) Twenty men can complete a piece of work in 25 days. In how many days can 5 men complete the same work?**

A. 50

B. 40

C. 100

D. 150

**Answer :**Option C

**Explanation: **W = m × d

m1 × d1 = m2 × d2

Where -

m1 = Initial men

d1 = Initial days

m2 = Final men

d2 = Final days

Thus,

25 × 20 = 5 × d2

d2 = 25 × 20/5

d2 = 5 × 20

= 100

**Q11) An aircraft flying at the height of 240 m above sea level drops a bomb on a submarine lying 420 m below sea level. The bomb falls down at the average speed of 60 m per second. How much time will it take to strike the submarine?**

A. 3 seconds

B. 6 seconds

C. 11 seconds

D. 12 seconds

**Answer :**Option C

**Explanation: **Height above sea level at which the aircraft flies = 240 m

Depth below sea level at which the submarine is lying = 420m

Average speed with which the bomb falls down = 60 m/s

Total distance the bomb falls to strike the submarine = 240 +420 = 660m

As we know,

Time = Distance/speed = 660/60 = 11 seconds.

**Q12) I have bought a second-hand car for Rs. 2,50,000. I have to pay 2% of the purchase price towards the annual maintenance cost and an annual tax of Rs. 2,000. At what monthly rent should I lend the car to a taxi driver to get a 15% return on net investment of one year?**

A. Rs. 3,350.50

B. Rs. 3,212.50

C. Rs. 3,412.50

D. Rs. 3,550.50

**Answer :**Option B

**Explanation: **The total cost for the year = 250000 + 2% of 2500000 + 2000

= Rs. 257000

For getting return of 15% he must earn = (257000×15)/100

= Rs. 38550 per year

Then, Monthly Rent = 38550/12

= Rs. 3212.5

**Q13) What is the ratio of the father’s age to the son’s age, if their ages are 35 years and 5 years respectively?**

A. 5 : 1

B. 6 : 1

C. 7 : 1

D. 1 : 7

**Answer :**Option C

**Explanation: **Given Father’s age = 35 years

And Son’s age = 5 years

Then, ratio of father’s age to the son’s age = 35 : 5 = 7 : 1

**Q14) Three years ago, the average age of a family of five members was 17 years. After a baby is born, the average age of the family is the same today. What is the age of the baby?**

A. 1 year

B. 2 years

C. 6 months

D. 9 months

**Answer :**Option B

**Explanation: **Total age of the family three years ago = 17 x 5 = 85 years.

Let the present age of the child be x years.

Present total age of the family = 85 + 5 x 3 + x = (100 + x) years.

Given (100+x)/? 66 =,17

100+x=102

x=2 years

**Q15) A sum of money was invested for 3 years at the rate of 4% per annum compounded annually amounted to $84,364.80. What is the sum invested?**

A. $65,000

B. $70,000

C. $75,000

D. $80,000

**Answer :**Option C

**Explanation: **A = P (1 + R/100) n

A = $84,364.80

P = ?

R = 4

n = 3

84,364.80 = P (1 + 4/100) ³

84,364.80 = P (1.04) ³

84,364.80 = P (1.124864)

P = $75,000