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 : There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a newcomer. If the average of the class thereby, was lowered by one month, the age of the newcomer is

(a) 15 years

(b) 14 years

(c) 17 years

(d) 16 years

The correct answers to the above question in:

Answer: (d)

Total age decrease = 24 × 1 = 24 months = 2 years

∴ Age of newcomer = 18 – 2 = 16 years.

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Read more ages weights Based Quantitative Aptitude Questions and Answers

Question : 1

Average age of 8 men is increased by 3 years when two of them whose age are 30 and 34 years are replaced by 2 persons. What is the average age of the 2 persons ?

a) 32 years

b) 24 years

c) 48 years

d) 44 years

Answer: (d)

Sum of the age of two new persons

= 30 + 34 + 3 × 8 = 88 years

∴ Required average = $88/2$ = 44 years

Question : 2

The average age of group of 20 girls is 15 years and that of another group of 25 boys it is 24 years. The average age of the two groups mixed together is

a) 20 years

b) 19.5 years

c) 21.5 years

d) 21 years

Answer: (a)

Required average age = $({20 × 15 + 25 × 24}/{20 + 25})$years

= $({300 + 600}/45)$years

= $(900/45)$ years = 20 years

Question : 3

There are 30 students in a class. The average age of first 10 students is 12.5 years. The average age of the remaining 20 students is 13.1 years. The average age (in years) of the students of the whole class is

a) 12.7 years

b) 12.5 years

c) 12.9 years

d) 12.8 years

Answer: (c)

Using Rule 10,

( If the average of 'n1 ’ numbers is a1 and the average of 'n2 ’ numbers is a2 , then average of total numbers n1 and n2 is

Average = ${n_1a_1 + n_2a_2}/{n_1 + n_2}$ )

Average age = ${10 × 12.5 + 20 × 13.1}/{10+20}$

= ${125+262}/30$ =12.9 years

Question : 4

Two years ago the average age of a family of 8 members was 18 years. After the addition of a baby, the average age of the family is same today. What is the age of the baby ?

a) 1$1/2$ years

b) 2 years

c) 2 $1/2$ years

d) 1 year

Answer: (b)

Sum of present ages of 9 member family = 18 × 9 = 162 years

Sum of 8 member’s present ages = 18 × 8 + 2 × 8

= 144 + 16 = 160 years

Child’s age = 162 – 160 = 2 years

Question : 5

The average age of eleven cricket players is 20 years. If the age of the coach is also included, the average age increases by 10%. The age of the coach is

a) 44 years

b) 48 years

c) 36 years

d) 40 years

Answer: (a)

Total age of 11 players = 11 × 20 = 220 years

Total age of 11 players and the coach = 12 × 22 = 264 years

∴ Age of the coach = (264 – 220) years

= 44 years

Question : 6

When the average age of a husband and wife and their son was 42 years, the son got married and a child was born just one year after the marriage. When child turned to be five years then the average age of family became 36 years. What was the age of daughter-in-law at the time of marriage ?

a) 25 years

b) 26 years

c) 23 years

d) 24 years

Answer: (d)

H + W + S = 42 × 3 = 126

(H + W + S) + D + C = 36 × 5 = 180

(126 + 6 × 3) + D + C = 180

⇒ (126 + 18) + D + C = 180

⇒ 144 + D + C = 180

⇒ D + C = 180 – 144 = 36

∴ Age of daughter-in-law at the time of marriage (D).

= 36 – (6 + 6) = 24 years

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