model 7 average on ages/weight Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16 [SSC CGL Tier I 2013]

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 : 17 [SSC SO 2007]

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

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

Question : 18 [SSC CGL Tier-I 2013]

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 : 19

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 : 20

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

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