Arithmetic Reasoning Questions With Answers

Q-16. In a family, mother’s age is twice as that of daughter’s age. Father is 10 years older than mother. Brother is 20 years younger than his mother and 5 years older than his sister. What is the age of the father?

(a) 62 years (b) 60 years
(c) 58 years (d) 55 years

View Answer and Solution 
  
Answer: (b)
Solution:
Suppose the age of daughter is F years.
Age of brother = F + 5 years
Age of mother = 2F years
∴ 2F - 20 = F + 5
⇒2F - F = 5 + 20
⇒F= 25 years
Age of mother = 2F
= 2 × 25 = 50 years
Age of father
= 50 + 10 = 60 years

Q-17. There are three baskets of fruits. First basket has twice the number of fruits in the 2nd basket. Third basket has 3/4th of the fruits in the first. The average of the fruits in all the baskets is 30. What is the number of the fruits in the first basket?

(a) 20 (b) 30
(c) 34 (d) 40

View Answer and Solution 
  
Answer: (d)
Solution:

Suppose the number of fruits in the second basked = F
Number of fruits in the first basket = 2F
Number of fruits in the third basket
= 2F ×  \frac{3}{4}=\frac{3F}{2} 
Now, 2F + F +  \frac{3F}{2} =30x3
 \frac{4F + 2F + 3F}{2} = 30 × 3
= 9F =30 × 3 × 2
∴ F =  \frac{30×3×2}{9}  = 20
Number of fruits in the first basket
= 2F = 2 x 20 =40

Q-18. The average age of 19 boys in a class is 21 years. If the teacher’s age is included, the average increases to 22 years. What is the teacher’s age?

(a) 39 years (b) 41 years
(c) 40 years (d) 44 years

View Answer and Solution 
  
Answer: (b)
Solution:
19 total age of boys
= 19 × 21 = 399 years
Total age of 19 boys and teacher
= 20 × 22 = 440 years
∴ Teacher's age
= 440 – 399
= 41 years

Q-19. Your mother is 4 years younger than your father who is six times older than you. If your age is 6 years, what is your mother’s age?

(a) 36 years (b) 34 years
(c) 28 years (d) 32 years

View Answer and Solution 
  
Answer: (d)
Solution:
The age of person is 6 years his father's age
= 6 × 6 = 36 years
Therefore, the age of his mother
= 36 - 4 = 32 year

Q-20. A father tells his son, “I was three times of your present age when you were born.” If the father’s present age is 48 years, how old was the boy 4 years ago?

(a) 24 years (b) 8 years
(c) 12 years (d) 16 years

View Answer and Solution 
  
Answer: (b)
Solution:
Present age of the son = 12 years
The father was 36 years old when the boy was born.
= 12 × 3 = 36 years
0 + 12 = 12 years
and 36 + 12 = 48 years
Therefore, 4 years ago the boy was
= 12 - 4 = 8 years