100+ Average Questions and Answers for Bank Exams - 2

Question: 6

The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 years. The average age of new student is

(A) 15 years

(B) 15.2 years

(C) 16 years

(D) 16.2 years

Ans: C

Sum of ages of 10 new students = (50 × 15.2 – 40 × 15) = 160 years.

∴ Average of new students = $${160} / {10}$$ years = 16 years.

Question: 7

There are three sections of a class in a school. The number of students in the three sections is 38, 32 and 40 and the average age of the students of these sections separately is 15.3 years, 16.5 years and 15.9 years respectively. What is the average age of the class?

(A) 14.9 years

(B) 15.9 years

(C) 15.92 years

(D) 15.96 years

Ans: B

Required average = $$({38 × 15.3 + 32 × 16.5 + 40 × 15.9} / {38 + 32 + 40})$$

= $${581.4 + 528 + 636} / {110}$$

= $${1745.4} / {110}$$

= 15.867

⇔ 15.9 years.

Question: 8

The body weight of seven students of a class is recorded as 54 kg, 78 kg, 43 kg, 82 kg, 67 kg, 42 kg and 75 kg. What is the average body weight of all the seven students?

(A) 60 kg

(B) 63 kg

(C) 69 kg

(D) 73 kg

Ans: B

Average body weight = $$({54 + 78 + 43 + 82 + 67 + 42 + 75} /{7})$$ kg

                            = $$({441} / {7})$$kg = 63 kg.

Question: 9

The average expenditure of a man for the first five months of a year is Rs.5000 and for the next seven months it is Rs.5400. He saves Rs.2300 during the year. His average monthly income is

(A) Rs.5425

(B) Rs.5446

(C) Rs.5500

(D) Rs.5600

Ans: A

Total yearly income = Rs.(5000 × 5 + 5400 × 7 + 2300)

                            = Rs. (25000 + 37800 + 2300) = Rs. 65100.

Average monthly income = Rs. $$({65100}/{12})$$ = Rs. 5425.

Question: 10

The average of the first 100 positive integers is

(A) 49

(B) 49.5

(C) 50.5

(D) 51

Ans: C

Required average = $$({1 + 2 + 3 + …. + 100}/{100})$$

                  = $${1}/{100} × {100 × 101} / {2}$$ = 50.5.

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