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

Question : 1 [ SSC CGL Tier-1 2011]

The average age of 11 players of a cricket team is increased by 2 months when two of them aged 18 years and 20 years are replaced by two new players. The average age of the new players is

a) 19 years 6 months

b) 19 years 1 month

c) 19 years 5 months

d) 19 years 11 months

Answer: (d)

Total increase = 11 × 2 = 22 months

∴ Sum of the age of both cricketers

= (18 + 20) years 22 months

= 38 years 22 months

∴ Average age =19 years 11 months

Question : 2 [SSC Section Officer 2006]

The average age of 24 boys and their teacher is 15 years. When the teacher’s age is excluded, the average age decreases by 1 year. The age of the teacher is

a) 39 years

b) 38 years

c) 41 years

d) 40 years

Answer: (a)

The age of the teacher

= (24 + 1) × 15 – 24 × (15 – 1)

= 25 × 15 – 24 × 14

= 375 – 336 = 39 years.

Question : 3 [SSC CHSL 2013]

The average age of A and B is 20 years. If A is to be replaced by C, the average would be 19 years. The average age of C and A is 21 years. The ages of A, B and C in order (in years) are

a) 18, 20, 22

b) 18, 22, 20

c) 22, 20, 18

d) 22, 18, 20

Answer: (d)

A + B = 2 × 20 = 40

C + B = 2 × 19 = 38

C + A = 2 × 21 = 42

On adding all three,

2 (A + B + C) = 40 + 38 + 42 = 120

⇒ A + B + C = 60

∴ A = (A + B + C) – (B + C)

= 60 – 38 = 22 years

B = (A + B + C) – (A + C)

= 60 – 42 = 18 years

C = (A + B + C) – (A + B)

= 60 – 40 = 20 years

Question : 4

The average age of a husband and his wife was 23 years at the beginning of their marriage. After five years they have a one-year old child. The average age of the family of three, when the child was born, was

a) 24 years

b) 23 years

c) 20 years

d) 18 years

Answer: (d)

After five years of marriage,

Husband + wife + child

= 46 + 10 + 1 = 57 years

At the time of birth of child,

Husband + wife + child = 57 – 3 = 54 years

∴ Required average age = $54/3$ = 18 years

Question : 5 [SSC CGL Tier-I 2012]

5 years ago, the average age of P and Q was 15 years. Average age of P, Q and R today is 20 years. How old will R be after 10 years?

a) 40 years

b) 35 years

c) 50 years

d) 30 years

Answer: (d)

Present age of (P + Q) = 30 + 10 = 40 years

(P + Q + R)’s present age = 20 × 3 = 60 years

R’s present age = 60 – 40 = 20 years

∴ R’s age after 10 years = 20 + 10 = 30 years

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