100+ Average Questions with Solutions Pdf - 2

Question: 6

The average weight of 6 men decreases by 3 kg when one of them weighing 80 kg is replaced by a new man. The weight of the new man is

(A) 56 kg

(B) 57 kg

(C) 58 kg

(D) 62 kg

Ans: D

Total weight decreased = (6 x 3) kg = 18 kg.

Weight of new man = (80 – 18 ) kg = 62 kg.

Question: 7

Kunal bought 65 books for Rs.1050 from one shop and 50 books for Rs.1020 from another. What is the average price he paid per book?

(A) Rs. 18

(B) Rs. 18.10

(C) Rs. 18.20

(D) Rs. 22

Ans: A

Total money paid for 115 books = Rs. (1050 + 1020) = Rs. 2070.

∴ Average price paid per book = Rs. $$({2070} / {115})$$ = Rs. 18.

Question: 8

Average age of ten persons learning yoga is 32 years. When the age of their instructor is added, the average age becomes 34 years. The age of their instructor is

(A) 46 years

(B) 48 years

(C) 52 years

(D) 54 years

Ans: D

Age of the instructor = (34 x 11 – 32 x 10) years

= (374 – 320) years = 54 years.

Question: 9

The average of 11 numbers is 10.9. If the average of the first six numbers s 10.5 and that of the last six numbers is 11.4, then the middle number is

(A) 11

(B) 11.2

(C) 11.5

(D) 12.2

Ans: C

Middle number = [(10.5 x 6 + 11.4 x 6) – 10.9 x 11]

= (131.4 – 119.9) = 11.5.

Question: 10

The average age of a committee of eight members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years. The average age of the present committee is

(A) 38 years

(B) 39 years

(C) 40 years

(D) 42 years

Ans: A

Required average = $$({8 × 40 – 55 + 39} / {8})$$

                            = $${304} / {8}$$ = 38 years.

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