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 : The average age of 8 men is increased by 2 years when two of them whose age are 21 and 23 years replaced by two new men. The average age of the two new men is

(a) 24 years

(b) 22 years

(c) 30 years

(d) 28 years

The correct answers to the above question in:

Answer: (c)

Overall increase in the total age = 8 × 2 = 16 years

∴ Total age of two new men = 21 + 23 + 16 = 60 years

∴ Average age of new men = $60/2$ = 30 years

Aliter : Using Rule 23,

( If in a group, one member is replaced by a new member, then,

Age of new member = ( age of replaced member) ± xn

where, x = increase (+) or decrease (–) in average n = Number of members. )

Here, x = 2, n = 8

Age of new person = Age of replaced person + x

= 24 + 2 × 8

= 24 + 16 = 40 years

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Read more ages weights Based Quantitative Aptitude Questions and Answers

Question : 1

In a family of 5 members, the average age at present is 33 years. The youngest member is 9 years old. The average age of the family just before the birth of the youngest member was

a) 29 years

b) 30 years

c) 24 years

d) 25 years

Answer: (b)

Sum of the present age of family members = 33 × 5 = 165 years 9 years ago,

Sum of their age = 165 – 9 × 5 = 120 years

∴ Required average age = $120/4$ = 30 years

Question : 2

The average age of 9 students and their teacher is 16 years. The average age of the first four students is 19 years and that of the last five is 10 years. The teacher’s age is

a) 34 years

b) 36 years

c) 28 years

d) 30 years

Answer: (a)

Teacher’s age

= 16 × 10 – 19 × 4 – 5 × 10

= 160 – 76 – 50 = 34 years

Question : 3

In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years and 9 months, then the number of girls in the school is

a) 150

b) 450

c) 350

d) 250

Answer: (a)

Number of girls = x

Number of boys = 600 – x

∴ (600 – x ) × 12 + 11x

= 11$3/4$×600 = $47/4$ × 600

⇒ 7200 – 12x + 11x = 7050

⇒ x = 7200 – 7050 = 150

Question : 4

In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son ?

a) 11 years

b) 12 years

c) 10 years

d) 10.5 years

Answer: (a)

Father + mother = 2 × 35 = 70 years

Father + mother + son = 27 × 3 = 81 years

∴ Son’s age = 81 – 70 = 11 years

Question : 5

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

Question : 6

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

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