The test consists of the following sections:

- Implementation
- DS/Algo
- Advanced Algo
- English Communication
- Quantitative Aptitude
- Logical Reasoning

**Mindtree Aptitude Questions | Quantitative Aptitude Questions**

**Q1. **A and B are 50 and 70 years old respectively. How many years ago was the ratio of their ages 2 : 3?

A. 40 years

B. 80 years

C. 10 years

D. 45 years

**Answer:** Option C

**Q2. **A wholesaler decides to mix two varieties of lentils worth Rs. 170 per kg and Rs. 180 per kg with a third variety of lentils in the ratio 1 : 2 : 3. What is the price per kg of the third variety of lentils if the lentil mixture is worth Rs. 173 per kg?

A. Rs. 174.30

B. Rs. 178.33

C. Rs. 176.40

D. Rs. 169.33

**Answer:** Option D

**Q3. **It takes 400 seconds for a train to completely cross two points A and B which are at a distance of 7.8 km. What is the speed of the train, if the length of the train is 200m?

A. 72 kmph

B. 36 kmph

C. 48 kmph

D. 64 kmph

**Answer: **Option A

**Q5. **Four pipes A, B, C and D can fill a tank with water in 15, 20, 30 and 60 hours respectively. In how much time will all the four pipes fill the tank together?

A. 6 hrs

B. 3 hrs

C. 1 hr 30 min

D. 2 hrs 30 min

**Answer:** Option A

**Q6. **Abe wants to sell artisanal drinks during the holidays. He produces 160 litres of the drink and sells a part of it at 10% profit. He sells the rest of the drink at a 6% profit. What quantity of the drink did he sell at 10% profit if he gained 9% profit on the entire 160 litres?

A. 120 litres

B. 100 litres

C. 140 litres

D. 90 litres

**Answer:** Option A

**Q7. **Mango A worth Rs. 130/kg and Mango B worth Rs. 120/kg is mixed with the third variety C in the ratio 1:1:2. If the mixture is worth Rs. 160/kg, what is the price of the third variety of mango i.e C?

A. Rs. 200

B. Rs. 225

C. Rs. 230

D. Rs. 195

**Answer:** Option D

**Q8. **In a startup company XYZ, 45% of employees are less than 25 years of age. The number of employees older than 25 years of age is 1/2 of the number of employees of 25 years of age. If the number of employees who are 25 years old is 8, then how many employees work at XYZ?

(Note: Choose the option that coincides with the nearest integer)

A. 17

B. 19

C. 15

D. 22

**Answer:** Option D

**Q9. **A retailer buys lentil A at Rs. 20.40/kg and lentil B at Rs. 18.60/kg. He wants to mix A and B to make a new mixture C that costs Rs 19.40/kg. In what ratio should he mix lentil A and B to do so?

A. 8 : 10

B. 10 : 8

C. 4 : 10

D. 10 : 4

**Answer:** Option A

**Q10. **There are three places Bihar, West Bengal and Jharkhand such that seven roads connect Bihar and West Bengal and nine roads connect West Bengal and Jharkhand. From the given data determine in how many ways can one travel from Bihar to Jharkhand?

A. 169

B. 63

C. 112

D. 139

**Q11. **There is a ticket collector at the entry gate museum, who collects the tickets from visitors. He arranges these tickets in his free time. If he arranges the tickets in pairs, one ticket is left. It is also the same when he arranges them in groups of 3, 4, 5 and 6.

How many tickets will be left with him if he arranges them in groups of 8?

A. 4

B. 5

C. 8

D. 9

**Answer: **Option B

**Explanation:**

Given, the number of tickets left out when he arranged them in the groups of 2, 3, 4, 5 and 6 is 1.

So, the number of tickets = LCM(2, 3, 4, 5, 6) + 1 = 60 + 1 = 61

The number of tickets remaining when he arranges them in the groups of 8 = Remainder (61/8) = 5

**Q12. **In how many days will 10 women complete work if 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days?

A. 30

B. 35

C. 40

D. 45

**Answer: **Option C

**Explanation:**

Let us assume the efficiency of man as M and woman as W.

Given,

4 men and 6 women can complete the work in 8 days.

Work completed = (4M + 6W)8 — Eq (1)

3 men and 7 women can complete the work in 10 days.

Work completed = (3M + 7W)10 — Eq (2)

As the work completed is the same in both cases, let’s equate them.

(4M + 6W)8 = (3M + 7W)10

M = 11W

M/W = 11/1

Substitute M = 11 and W = 1 in Eq (1)

Total Work = [4(11) + 6(1)]8 = 400

Time taken by 10 women = 400/10 = 40 days

**Q13. **The average age of a group of 10 students is 20 years. If 4 more students join the group, the average age increases by 2 years. What is the average age of the new students?

A. 27 years

B. 26 years

C. 24 years

D. 25 years

**Answer: **Option A

**Explanation:**

Given,

The average age of 10 students is 20 years

Average age = Sum of the ages/Number of students

20 = Sum of the ages/10

Sum of ages of 10 students = 200 — Eq (1)

4 more students joined and the average age increased by 2 years.

The average age of 14 students = 22 years

Sum of ages of 14 students/14 = 22

Sum of ages of 14 students = 308 — Eq (2)

Subtract Eq (2) and Eq (1)

Sum of ages of 4 new students = 308 – 200 = 108

The average age of 4 new students = 108/4 = 27

**Q14. **The ratio of children going for a picnic to the ratio of children not going is 8 : 3. If the total number of children were 55 out of which 3 who were not going earlier are now ready to go, what is the new ratio?

A. 8 : 1

B. 9 : 2

C. 51 : 4

D. 43 : 12

**Answer: **Option D

**Explanation:**

Given, Total number of children = 55

The ratio of children going for a picnic to the children not going for a picnic = 8 : 3

Total parts = 11p

Number of children going for picnic = 40

Number of children not going for picnic = 15

Given, 3 students who were not going earlier are now ready to go.

So, the number of children going for picnic = 43

Number of children not going for picnic = 12

Hence, the ratio = 43 : 12

**Q15. **If the age of a husband, wife and their child is in the ratio 13 : 11 : 3 and the average age of this family of three members is 36 years, then what the difference between the age of the husband and the wife?

A. 9 years

B. 11 years

C. 13 years

D. 8 years

**Answer: **Option D

**Explanation:**

Given, the age of husband, wife and their child is in the ratio = 13 : 11 : 3

Total number of parts = 27p

The average age of three members = 36 years

Sum of ages of three members/3 = 36

Sum of ages of three members = 108

=> 27 p = 108

1p = 4

The age of husband = 13p = 13*4 = 52

The age of wife = 10p = 11*4 = 44

The difference between the age of husband and wife = 52 – 44 = 8 years