Competitive Exams : Quantitative Aptitude - Mix (Set 2) | Concept of Maths

Question 1

1. The average weight of 18 students in a class is $ 52.5 \text{ kg} $. If 6 new students with an average weight of $ 48 \text{ kg} $ join the class, what is the new average weight of all students?

A) $ 50.85 \text{ kg} $

B) $ 51.375 \text{ kg} $

C) $ 51.5 \text{ kg} $

D) $ 50.5 \text{ kg} $

Answer

Correct Answer: B

Question 2

2. A cricketer has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs, thereby increasing his average by 5 runs. What is his new average?

A) 31

B) 36

C) 41

D) 46

Answer

Correct Answer: B

Question 3

3. The average of 15 numbers is 45. The average of the first 8 numbers is 42, and that of the last 8 numbers is 49. What is the value of the 8th number?

A) 48

B) 53

C) 45

D) 51

Answer

Correct Answer: B

Question 4

4. The average age of a family of 5 members is 28 years. If the youngest member is 8 years old, what was the average age of the family at the time of the birth of the youngest member?

A) 20 years

B) 24 years

Question 5

5. The average temperature for Monday, Tuesday, and Wednesday was $ 38^\circ \text{C} $. The average for Tuesday, Wednesday, and Thursday was $ 41^\circ \text{C} $. If the temperature on Thursday was $ 43^\circ \text{C} $, what was the temperature on Monday?

A) $ 34^\circ \text{C} $

B) $ 36^\circ \text{C} $

C) $ 35^\circ \text{C} $

D) $ 32^\circ \text{C} $

Answer

Correct Answer: A

Question 6

6. A man covers a distance at a speed of $ 24 \text{ km/h} $ and returns at a speed of $ 36 \text{ km/h} $. If the total time taken is 5 hours, find the total distance covered (out and back).

A) $ 144 \text{ km} $

B) $ 72 \text{ km} $

C) $ 120 \text{ km} $

D) $ 156 \text{ km} $

Answer

Correct Answer: A

Question 7

7. A train $ 150 \text{ m} $ long is running at $ 72 \text{ km/h} $. How long will it take to cross a platform $ 250 \text{ m} $ long?

A) 15 seconds

B) 20 seconds

C) 25 seconds

D) 18 seconds

Answer

Correct Answer: B

Question 8

8. Walking at $ \frac{4}{5} $ of his usual speed, a man is 15 minutes late to his office. What is his usual time to reach the office?

A) 45 minutes

B) 50 minutes

C) 60 minutes

D) 75 minutes

Answer

Correct Answer: C

Question 9

9. A boat can travel with a speed of $ 15 \text{ km/h} $ in still water. If the speed of the stream is $ 3 \text{ km/h} $, find the time taken by the boat to go $ 72 \text{ km} $ upstream.

A) 4 hours

B) 5 hours

C) 6 hours

D) 4.5 hours

Answer

Correct Answer: C

Question 10

10. Two cities A and B are $ 450 \text{ km} $ apart. A train starts from A at 8 AM towards B at $ 60 \text{ km/h} $. Another train starts from B at 9 AM towards A at $ 70 \text{ km/h} $. At what time will they meet?

A) 11:00 AM

B) 12:00 PM

C) 12:30 PM

D) 1:00 PM

Answer

Correct Answer: B

Question 11

11. Five years ago, the ratio of the ages of A and B was $ 4:5 $. Five years hence, the ratio of their ages will be $ 6:7 $. What is the sum of their present ages?

A) 40 years

B) 50 years

C) 55 years

D) 45 years

Answer

Correct Answer: C

Question 12

12. A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 42 years now, the son's age five years back was:

A) 14 years

B) 19 years

C) 16 years

D) 21 years

Answer

Correct Answer: C

Question 13

13. The ratio of the present ages of a mother and her daughter is $ 7:1 $. Four years ago, the ratio was $ 19:1 $. What will be the mother's age 4 years from now?

A) 40 years

B) 42 years

C) 38 years

D) 46 years

Answer

Correct Answer: D

Question 14

14. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A) 4 years

B) 8 years

C) 10 years

D) 2 years

Answer

Correct Answer: A

Question 15

15. A person's present age is two-fifths of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

A) 32 years

B) 36 years

C) 40 years

D) 48 years

Answer

Correct Answer: C

Question 16

16. If $ A:B = 3:4 $ and $ B:C = 8:9 $, then what is $ A:C $?

A) $ 1:3 $

B) $ 3:2 $

C) $ 2:3 $

D) $ 1:2 $

Answer

Correct Answer: C

Question 17

17. A sum of Rs. 391 is divided among A, B, and C such that their shares are in the ratio $ \frac{1}{2} : \frac{2}{3} : \frac{3}{4} $. What is the share of B?

A) Rs. 102

B) Rs. 136

C) Rs. 153

D) Rs. 128

Answer

Correct Answer: B

Question 18

18. In a mixture of 60 litres, the ratio of milk and water is $ 2:1 $. If this ratio is to be $ 1:2 $, then the quantity of water to be further added is:

A) 20 litres

B) 30 litres

C) 40 litres

D) 60 litres

Answer

Correct Answer: D

Question 19

19. A bag contains 50p, 25p and 10p coins in the ratio $ 5:9:4 $, amounting to Rs. 206. Find the number of 50p coins.

A) 200

B) 150

C) 250

D) 300

Answer

Correct Answer: A

Question 20

20. What number should be added to each of 6, 14, 18, and 38 so that the resulting numbers make a proportion?

A) 1

B) 2

C) 3

D) 4

Answer

Correct Answer: B

Accepted Answer

Correct Answer: C

Competitive Exams : Quantitative Aptitude - Mix (Set 2) | Concept of Maths