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 : 3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is same today. The present age of the baby is

(a) 1 $1/2$ year

(b) 1 year

(c) 3 years

(d) 2 years

The correct answers to the above question in:

Answer: (d)

Present age of child

= 17 × 6 – (17 × 5 + 3 × 5)

= 102 – (85 + 15) = 102 – 100

= 2 years

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Read more ages weights Based Quantitative Aptitude Questions and Answers

Question : 1

Five years ago, the average age of P and Q was 25. The average age of P, Q and R today is 25. Age of R after 5 years will be

a) 20 years

b) 15 years

c) 35 years

d) 40 years

Answer: (a)

Sum of the present age of P and Q.

= 2 × 25 + 10 = 60 years

Sum of the present age of P, Q and R

= 25 × 3 = 75 years

∴ R’s present age = 75 – 60 = 15 years

∴ R’s age after 5 years = 20 years

Question : 2

In a class, there are 40 boys and their average age is 16 years. One boy, aged 17 years, leaving the class and another joining, the average age becomes 15.875 years. The age of the new boy is :

a) 14.5 years

b) 12 years

c) 17 years

d) 15 years

Answer: (b)

Total age of 40 boys = 40 × 16 = 640 years

New total age of 40 boys = 40 × 15.875 = 635 years

∴ Age of new boy = [635 – (640–17)] = 12 years

Aliter : Using Rule 23,

Here, n = 40, x = 16 – 15.875, x = 0.125

Age of new boy = Age of replaced boy–xn

= 17 – 0.125 × 40

= 17 – 5 = 12 years

Question : 3

The average age of 30 students is 9 years. If the age of their teacher is included, the average age becomes 10 years. The age of the teacher (in years) is

a) 31

b) 27

c) 40

d) 35

Answer: (c)

Total age of 30 students = 9 × 30 = 270 years

Total age of 30 students and a teacher = 31×10 = 310 years

∴ Age of the teacher = 310 – 270 = 40 years

Question : 4

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

Question : 5

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 : 6

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

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