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

Question : 36 [SSC MTS 2013]

From a class of 42 boys, a boy aged 10 years goes away and in his place, a new boy is admitted. If on account of this change, the average age of the boys in that class increases by 2 months, the age of the newcomer is :

a) 17 years

b) 19 years

c) 12 years 2 months

d) 10 years 6 months

Answer: (a)

Age of new boy = $(10 + {2 × 42}/12)$ = 17 years

Question : 37 [SSC CGL Prelim 2008]

The present average age of a family of four members is 36 years. If the present age of the youngest member of the family be 12 years, the average age of the family at the birth of the youngest member was

a) 40 years

b) 48 years

c) 24 years

d) 32 years

Answer: (d)

Sum of the present ages of whole family = 36 × 4 = 144 years

Sum of the ages of the family at the birth of youngest member

= 144 – 4 × 12 = 96 years

∴ Required Average age =$96/3$ = 32 years

Question : 38 [SSC CGL Tier-I 2014]

If out of 10 selected students for an examination, 3 were of 20 years, age, 4 of 21 and 3 of 22 years, the average age of the group is

a) 21 years

b) 22 years

c) 20 years

d) 21.5 years

Answer: (a)

Average age of the whole group

= ${3 × 20 + 4 × 21+3 × 22}/10$

= ${60 + 84 + 66}/10$ = $210/10$

= 21 years

Question : 39

Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, the age of mother (in years) is :

a) 52

b) 44

c) 68

d) 60

Answer: (d)

Let the mother’s age = x years

∴ Father’s age = (x + 8) years

Sum of age of 6 sons = 8 × 6 = 48 years

Sum of age of 6 sons and parents = 22 × 8 = 176 years.

∴ Age of Parents = 176 – 48 = 128 years

⇒ x + x + 8 = 128

⇒ 2x = 120

⇒ x = 60

Hence, mother’s age = 60 years

Question : 40

The average age of 8 persons is increased by 2 years, when one of them, whose age is 24 years is replaced by a new person. The age of the new person is :

a) 40 years

b) 42 years

c) 45 years

d) 38 years

Answer: (a)

Age of new person = 8 × 2 + 24

= 16 + 24 = 40 years

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