model 7 average on ages/weight Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

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The following question based on average topic of quantitative aptitude

Questions : 5 years ago, the average age of A, B, C and D was 45 years. With E joining them now, the average age of all the five is 49 years. How old is E ?

(a) 40 years

(b) 25 years

(c) 64 years

(d) 45 years

The correct answers to the above question in:

Answer: (d)

Sum of the present age of A, B, C and D

= 45 × 4 + 4 × 5 = 180 + 20 = 200 years

Sum of the present age of A, B, C, D and E = 49 × 5 = 245 years

∴ Present age of E = (245 – 200) years = 45 years

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Read more ages weights Based Quantitative Aptitude Questions and Answers

Question : 1

Out of 10 teachers of a school, one teacher retires and at his place a new teacher of age 25 years joins. As a result of it, the average age of the teachers is reduced by 3 years. The age of the retired teacher is

a) 58 years

b) 60 years

c) 55 years

d) 56 years

Answer: (c)

The average age is reduced by 3 years.

∴ Age of the retired teacher = 25 + 3 × 10 = 55 years

Question : 2

The average age of a husband and a wife was 27 years when they married 4 years ago. The average age of the husband, the wife and a new-born child is 21 years now. The present age of the child is

a) 3 years

b) 4 years

c) 1 year

d) 2 years

Answer: (c)

Sum of the present age of husband and wife

= 2 × 27 + 8 = 62 years

Sum of the present age of husband, wife and child

= 21 × 3 = 63 years

∴ present age of the child

= 63 – 62 = 1 year

Question : 3

In a school, the average age of students is 6 years, and the average age of 12 teachers is 40 years. If the average age of the combined group of all the teachers and students is 7 years, then the number of students is :

a) 400

b) 396

c) 416

d) 408

Answer: (b)

Let the number of students be n. Then,

7 = ${n × 6 + 12 × 40}/{n + 12}$

⇒ 7n + 84 = 6n + 480

⇒ n = 480 – 84 = 396

Question : 4

The average age of 14 girls and their teacher’s age is 15 years. If the teacher’s age is excluded, the average reduces by 1. What is the teacher’s age?

a) 32 years

b) 35 years

c) 29 years

d) 30 years

Answer: (c)

Total age of 14 girls + 1 teacher = 15 × 15 = 225 yrs.

Average age of 14 girls = 14 yrs.

∴ Total age of 14 girls = 14 × 14 = 196 yrs.

∴ Teacher’s age = 225 – 196 = 29 yrs.

Question : 5

The average age of 20 boys in a class is 12 years. 5 new boys are admitted to the class whose average age is 7 years. The average age of the boys in the class becomes

a) 9.5 years

b) 8.2 years

c) 11 years

d) 12.5 years

Answer: (c)

New average age of class

= ${20 × 12 + 5 × 7}/25$ = ${240+35}/25$

= $275/25$ = 11 years

Question : 6

In a class there are 30 boys and their average age is 17 years. On one boy aged 18 years leaving the class and another joining, the average age becomes 16.9 years. The age of new boy is

a) 11 years

b) 25 years

c) 15 years

d) 13 years

Answer: (c)

Age of new boy = 18 years – total decrease

= (18 – 0.1 × 30) years = 15 years

Aliter : Using Rule 23,

( If in a group, one member is replaced by a new member, then,

Age of new member = ( age of replaced member) ± xn

where, x = increase (+) or decrease (–) in average n = Number of members. )

Here, x = 17 – 16.9 = 0.1, n = 30

Age of new boy

= Age of replaced boy–xn

= 18 – 0.1 × 30

= 18 – 3 = 15 years

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