Arithmetic Reasoning Questions and Answers

Q-21. Mr. and Mrs. Gopal have two daughters and each daughter has one brother. How many persons are there in the family?

(a) 8 (b) 6
(c) 7 (d) 5

View Answer and Solution 
  
Answer: (d)
Solution:
Total number of persons in the family
= 2 + 2 + 1 = 5

Q-22. In a family Mr. Prakash has his wife and his two married brothers of whom one has two children and another has no issue. How many members are there in the family?

(a) 12 members
(b) 8 members
(c) 6 members
(d) 10 members

View Answer and Solution 
  
Answer: (b)
Solution:
Mr. Prakash and his wife = 2
Prakash's two married brothers = 4
Two children = 2
Total members = 8

Q-23. A two member committee comprising one male and one female member is to be constituted out of five males and three females. Amongst the females, Mrs. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted?

(a) 11 (b) 12
(c) 13 (d) 14

View Answer and Solution 
  
Answer: (d)
Solution:
Total number of ways in which the committee can be formed
= 5 × 3 = 15
But Ms. A refuses to be a member of the committee in which Mr. B is taken as a member.
Therefore, the required answer
= 15 - 1 = 14

Q-24. Determine the correct answer for the unsolvable equation using the given equations.
If
324 × 289 = 35,
441 × 484 = 43,
625 × 400 = 45,
find the value of 256 × 729 = ?

(a) 33 (b) 35
(c) 43 (d) 34

View Answer and Solution 
  
Answer: (c)
Solution:
\sqrt{324} = 18; \sqrt{289}= 17
18 + 17 = 35
\sqrt{441}=21; \sqrt{484}= 22
21 + 22 = 43
\sqrt{625} = 25; \sqrt{400}= 20
25 + 20 = 45
\sqrt{256}=16; \sqrt{729}= 27
16 + 27 = 43

Q-25. Out of 100 families in the neighbourhood, 50 members have radios, 75 members have TVs and 25 members have VCRs. Only 10 families have all three and each VCR owner also has a TV. If some families have radio only, how many have only TV?

(a) 30 (b) 35
(c) 40 (d) 45

View Answer and Solution 
  
Answer: (c)
Solution:
25 have VCRS and each VCR owner also has a TV.
Therefore, the TV owners who have not VCRS
= 75 - 25 = 50
Now, 10 have all the three.
Therefore, 50 - 10 = 40 have only TV.