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## Aptitude Questions and Answers | MCQ Problems

Quiz Name |
Numbers and Ages |

Category |
Aptitude |

Number of Questions |
25 |

Time |
30 Minutes |

Exam Type |
MCQ (Multiple Choice Questions) |

## Numbers and Ages Quiz Online Test – Practice Now

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**1. Raman’s present age is two-fifth of the age of his father. Find the age of Raman after 10 years if the sum of the present ages of Raman and his father is 63 years.**

a. 18 years

b. 20 years

c. 28 years

d. 16 years

e. 14 years

**Answer: c**

**Explanation:**

**2. The sum of the ages of three friends is 51 years. After 3 years, the ratio of their ages became 9:10:11. Then, find the present age of the youngest one.**

a. 18 yrs

b. 16 yrs

c. 21 yrs

d. 15 yrs

e. 13 yrs

**Answer: d**

**Explanation: **

**3. At present P is three times Q’s age. After 5 years, P will be twice Q’s age, than what will P age after 10 years.**

a. 20years

b. 25years

c. 22years

d. 35years

e. 30years

**Answer: b**

**Explanation:**

**4. The present ages of Meena and Rima are in the ratio 4:5. After Q years the ratio of their ages become 9:11 and (Q+2) years ago the ratio of their ages was 13:17. Find the sum of their ages after Q years**

a. 88 years

b. 94 years

c. 80 years

d. 67 years

e. 82 years

**Answer: c**

**Explanation:**

**5. Kunal is 4 years older than Isha and 2 years younger than Hemant. If 5 years ago, the sum of their ages was 55 years, then find the present age of Isha.**

a. 18 years

b. 20 years

c. 16 years

d. 24 years

e. 28 years

**Answer: b**

**Explanation: **

**6. Five years ago, Mansi age was 2/3rd of Mayank age at that time. The ratio of Mansi and Mayank 5 years hence is 6:7 respectively, then find the Mansi age after 4 years?**

a. 11 years

b. 18 years

c. 25 years

d. 14 years

e. 8 years

**Answer: d**

**Explanation: **

**7. Prashant is 5 years elder than Himanshu. After 5 years, the ratio of the age of Himanshu to that of Prashant is 4:5, then find the sum of the present ages of Prashant and Himanshu.**

a. 30 years

b. 35 years

c. 40 years

d. 50 years

e. 45 years

**Answer: b**

**Explanation:**

**8. 5 yrs hence, the age of Shivam increased by 20%, and 6 yrs ago the age of Ayush was 25% less than his present age. What is the sum of the ages of Shivam and Ayush, 8 yrs hence?**

a. 54yrs

b. 60yrs

c. 65yrs

d. 56yrs

e. 69yrs

**Answer: c**

**Explanation: **

**9. Ratio between the present ages of A and B is 2 : 3 respectively. B’s age twenty-one years hence will be twice of A’s age six years hence. What is the difference between the present ages of A and B?**

a. 15 years

b. 9 years

c. 8 years

d. 10 years

e. 6 years

**Answer: b**

**Explanation:**

**10. The average age of three people A, B, and C at present is 40 years. 3 years ago the average of A and B was 40 years. 3 years hence the average age of B and C is 25 years, find the present age of B.**

a. 25

b. 18

c. 26

d. 10

e. 39

**Answer: d**

**Explanation:**

**11. The age of A is 9 years more than B. After 24 years, the sum of the ages of A and B would be 63 years. What is the present age of A?**

a. 3 years

b. 6 years

c. 9 years

d. 12 years

e. 15 years

**Answer: d**

**Explanation:**

Let the present age of A and B be A and B years, respectively.

A – B = 9…(1)

After 24 years

(A + 24) + (B + 24) = 63

So, at present

A + B = 63 – 48

A + B = 15…(2)

(1) + (2)

A = 12

Present age of A = 12 years

Hence, the correct answer is option D.

**12. Six years ago the ratio between the ages of Pradeep and Satyam was 7 : 5 respectively. The ratio between their present ages is 9 : 7. What will be Satyam age 4 years hence?**

a. 25

b. 26

c. 27

d. 28

e. 30

**Answer: a**

**Explanation:**

**13. The sum of ages of Amit and Rahul is twice the age of Som. The average age of Amit, Rahul and Som is 20 years. Find the age of Amit, if difference between the age of Amit and Rahul is 20 years.**

a. 20 years

b. 15 years

c. 30 years

d. 25 years

e. None of these

**Answer: c**

**Explanation: **

**14. The age of Abhishek 10 years ago was 100% more than the age of Bunty 10 years ago. The age of Abhishek 10 years hence will be 20 years more than the age of Bunty 10 years hence. Find the age of Abhishek 4 years hence.**

a. 54 years

b. 64 years

c. 68 years

d. 50 years

e. 48 years

**Answer: a**

**Explanation:**

Let the present age of Abhishek and Bunty be x and y years respectively.

ATQ,

(x – 10) = 2(y – 10)

⇒ x – 2y = –10……(i)

Also,

x + 10 = y + 10 + 20

⇒ x – y = 20……(ii)

On solving equation (i) and (ii), we get:

x = 50 years

So, age of Abhishek 4 year hence = 50 + 4 = 54 years

**15. The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?**

a. 15.25 years

b. 14 years

c. 14.75 years

d. Cannot be determined

e. None of these

**Answer: a**

**Explanation:**

the average age of the remaining boys in the class be a years, then

15 × 80 = 15 × 16 + 25 × 14 + (80 – 15 – 25) x a

⇒ 1200 = 240 + 350 + 40a

⇒ a = 15.25

**16. A is 6 years elder than B. Ratio of age of A 4 years hence and present age of B is 4:3, then what is the ratio of age of A and B, 4 years ago?**

a. 16:13

b. 8:5

c. 16:5

d. 14:13

e. None of these

**Answer: a**

**Explanation:**

**17. Sum of the present ages of A and B is 60 years. Four years ago, the ratio of ages of A and B was 6 : 7. If C is 4 years elder than B, then what will be the sum of the ages of A, B and C after 5 years?**

a. 84 years

b. 92 years

c. 96 years

d. 111 years

e. None of these

**Answer: d**

**Explanation:**

Let the ages of A and B 4 years ago be 6x and 7x respectively.

According to question,

6x + 4 + 7x + 4 = 60

13x = 52

⇒ x = 4

Present age of A = 6 × 4 + 4 = 28 years

Present age of B = 7 × 4 + 4 = 32 years

Present age of C = 32 + 4 = 36 years

Required sum = 28 + 32 + 36 + 5 × 3 = 111 years

**18. Present ages of Monika and Kritika are in the ratio of 8 : 7 respectively. Present ages of Ankita and Shrutika are in the ratio of 5 : 3 respectively. Present age of Ankita is 25% more than the present age of Kritika. Find the difference between the present ages of Monika and Shrutika if the present average age of Ankita, Monika, Shrutika and Kritika**

a. 8 years

b. 12 years

c. 11 years

d. 13 years

e. 5 years

**Answer: c**

**Explanation:**

**19. 5 years ago, the sum of ages of a family of 6 was 182 years. 2 years later, one of the member died at 50 and a child was born. After another 2 years, another member died at the age of 40 and a child was born. What is the current average age of the family?**

a. 20 years

b. 23.67 years

c. 24.33 years

d. 22 years

e. None of these

**Answer: a**

**Explanation:**

Given, 5 years ago, the sum of the ages of a family of 6 added up to 182 years.

After 2 years, sum of ages of the family = 182 – 50 + 2 × 5 = 142 (A child was born now)

After another 2 years, sum of ages of family = 142 + 2 – 40 + 2 × 5 = 114 (Another child is born)

Now, present sum of ages = 114 + 6 × 1 = 120

Average present age = 120/6 = 20 years

**20. Kajol has three daughter named Rani, Sweety and Pinki. 5 years hence, the sum of the ages of 3 daughters is 105. Rani is youngest one and Pinki is eldest one in the family. The present age of all three of them is square numbers. Find the age of Sweety 4 years hence.**

a. 13 years

b. 40 years

c. 20 years

d. 29 years

e. Cannot be determined

**Answer: d**

**Explanation:**

5 year hence sum of the ages = 105

Rani + 5 + Sweety + 5 + Pinki + 5 = 105

Rani + Sweety + Pinki = 90

Possible square numbers are 1, 4, 9, 16, 25, 36, 49

The ages are Rani= 16, Sweety = 25 and Pinki = 49 years

Required age = Sweety + 4

= 25 + 4

= 29years

**21. Ram’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. Ram’s wife is 7 years elder than him and his wife’s present age is thrice the present age of his son. What is their daughter’s present age?**

a. 18 years

b. 20 years

c. 23 years

d. 28 years

e. None of these

**Answer: c**

**Explanation: **

5 years from now

Let, Daughter’s age = 7x years and son’s age = 6x years

Therefore,

Daughter’s present age = (7x – 5) years and Son’s present age = (6x – 5)years

Ram’s present age = (7x – 5 + 6x – 5 + 8)years = (13x – 2)years

Therefore ,

13x + 5 = 3(6x – 5)

⇒ x = 4

Then, Daughter’s present age = 7x – 5 = 23 years

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## Numbers and Ages Questions and Answers

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## Numbers and Ages Tricks and Formulas

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