MAT - PROBLEMS ON AGE AND RELATIONSHIP- MCQs - 1

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🧠 Age & Relationship Problems

Class 8 – NMMS & Aptitude Examination Practice

10 Multiple-Choice Questions

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2. Select one correct answer for every question.
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5. Wrong question sets become RED.
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Question 1

Ravi is 12 years old and his father is 36 years old. How many times is Ravi's father's age Ravi's age?

A) 2 times B) 3 times C) 4 times D) 5 times

Correct Answer: B) 3 times

Detailed Explanation:

Father's age = 36 years
Ravi's age = 12 years

To find how many times the father's age is Ravi's age:

36 ÷ 12 = 3

Therefore, Ravi's father's age is 3 times Ravi's age.

Question 2

The present age of a mother is 40 years and her daughter's age is 10 years. After how many years will the mother's age be twice her daughter's age?

A) 10 years B) 15 years C) 20 years D) 25 years

Correct Answer: C) 20 years

Detailed Explanation:

After 20 years:
Mother's age = 40 + 20 = 60 years
Daughter's age = 10 + 20 = 30 years

Now,
60 = 2 × 30

Therefore, after 20 years, the mother's age will be twice her daughter's age.

Question 3

The sum of the ages of a brother and sister is 30 years. The brother is 6 years older than the sister. What is the sister's age?

A) 10 years B) 12 years C) 14 years D) 18 years

Correct Answer: B) 12 years

Detailed Explanation:

Let the sister's age be x years.
Brother's age = x + 6

Their total age is 30:
x + (x + 6) = 30

2x + 6 = 30
2x = 24
x = 12

Therefore, the sister is 12 years old.

Question 4

Five years ago, Arun was 10 years old. How old will Arun be after 8 years?

A) 18 years B) 21 years C) 23 years D) 25 years

Correct Answer: C) 23 years

Detailed Explanation:

Five years ago Arun was 10 years old.

Present age:
10 + 5 = 15 years

After 8 years:
15 + 8 = 23 years

Therefore, Arun will be 23 years old.

Question 5

The present ages of A and B are in the ratio 3 : 5. If their total age is 32 years, what is B's age?

A) 12 years B) 18 years C) 20 years D) 24 years

Correct Answer: C) 20 years

Detailed Explanation:

Ratio of A : B = 3 : 5

Total parts:
3 + 5 = 8 parts

One part:
32 ÷ 8 = 4

B has 5 parts:
5 × 4 = 20 years

Therefore, B's age is 20 years.

Question 6

Pointing to a boy, Meena said, "He is the son of my mother's only daughter." How is the boy related to Meena?

A) Brother B) Son C) Nephew D) Cousin

Correct Answer: B) Son

Detailed Explanation:

Meena's mother's only daughter is Meena herself.

The boy is the son of Meena.

Therefore, the boy is Meena's son.

Question 7

Ravi is the brother of Priya. Priya is the mother of Arun. How is Ravi related to Arun?

A) Father B) Uncle C) Brother D) Grandfather

Correct Answer: B) Uncle

Detailed Explanation:

Ravi and Priya are brother and sister.
Priya is Arun's mother.

Therefore, Priya's brother Ravi is Arun's uncle.

More specifically, he is Arun's maternal uncle.

Question 8

A man introduces a woman as follows: "She is the daughter of the only son of my grandfather." How is the woman related to the man?

A) Sister B) Mother C) Daughter D) Aunt

Correct Answer: A) Sister

Detailed Explanation:

The only son of the man's grandfather is the man's father.

The daughter of his father is his sister.

Therefore, the woman is the man's sister.

Question 9

Kumar is the father of Ravi. Ravi is the brother of Sita. Sita is the mother of Anu. How is Kumar related to Anu?

A) Father B) Uncle C) Grandfather D) Brother

Correct Answer: C) Grandfather

Detailed Explanation:

Kumar is Ravi's father.
Ravi and Sita are siblings.
Therefore, Kumar is also Sita's father.

Sita is Anu's mother.

Therefore, Kumar is Anu's grandfather.

Question 10

The present age of a father is 4 times the age of his son. After 5 years, the father's age will be 3 times the son's age. What is the son's present age?

A) 8 years B) 10 years C) 12 years D) 15 years

Correct Answer: B) 10 years

Detailed Explanation:

Let the son's present age be x years.

Father's present age = 4x years.

After 5 years:
Son's age = x + 5
Father's age = 4x + 5

According to the question:
4x + 5 = 3(x + 5)

4x + 5 = 3x + 15
x = 10

Therefore, the son's present age is 10 years.

Check:
After 5 years:
Son = 15 years
Father = 45 years
45 = 3 × 15 ✓

🧠 NMMS & Aptitude Practice
Class 8 • Age Problems • Family Relationship Problems