type 2 age based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - EXERCISES]
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
Question : 6 [SSC CGL Tier-1 2011]
At present, the ratio of the age of Maya and Chhaya is 6 : 5 and fifteen years from now, the ratio will get changed to 9 : 8. Maya’s present age is
a) 30 years
b) 40 years
c) 24 years
d) 21 years
Answer »Answer: (a)
Let Maya’s present age be 6x years and Chhaya’s present age be 5x years.
After 15 years,
${6x + 15}/{5x + 15} = 9/8$
48x + 120 = 45x + 135
48x - 45x = 135 - 120
3x = 15 ⇒ x = 5
Maya’s present age = 6x
= 6 × 5 = 30 years
Question : 7 [SSC CGL Prelim 2003]
My grandfather was 9 times older than me 16 years ago. He will be 3 times of my age 8 years from now. Eight years ago, the ratio of my age to that of my grandfather was
a) 1 : 2
b) 1 : 5
c) 2 : 5
d) 3 : 8
Answer »Answer: (b)
16 years ago,
My age = x years
My grandfather’s age = 9x years
After 8 years from the present,
9x + 16 + 8 = 3(x + 8 + 16)
9x + 24 = 3x + 24 + 48
9x + 24 = 3x + 72
9x - 3x = 72 - 24
6x = 48
$x = 48/6$ = 8
Required ratio 8 years ago,
= (x + 8) : (9x + 8)
= (8 + 8) : (9 × 8 + 8)
= 16 : 80 = 1 : 5
Question : 8 [SSC CGL Tier-I 2016]
The ratio of A’s age to B’s age is 4 : 3. ‘A’ will be 26 years old after 6 years. The age of B now is :
a) 21 years
b) 15 years
c) 12 years
d) 19$1/2$ years
Answer »Answer: (b)
A’s present age
= 4x years (let).
According to the question,
4x + 6 = 26
4x = 26 - 6 = 20
$x = 20/4$ = 5
B’s present age
= 3x = 3 × 5 = 15 years
Question : 9 [SSC SO 2006]
The ratio of the ages of a father and his son 10 years hence will be 5 : 3, while 10 years ago, it was 3:1. The ratio of the age of the son to that of the father today, is
a) 2 : 3
b) 2 : 5
c) 1 : 3
d) 1 : 2
Answer »Answer: (d)
Let the age of father 10 years hence is 5x years,
then age of son 10 years hence will be 3x years.
According to the question,
${5x - 10 - 10}/{3x - 10 - 10} = 3/1$
${5x - 20}/{3x - 20} = 3/1$
5x - 20 = 9x - 60
4x = 40 or x = 10
Required ratio
= (3x - 10) : (5x - 10)
= 20 : 40 = 1 : 2
Question : 10 [SSC CGL Prelim 2007]
The sum of the age of a father and his son is 100 years now. 5 years ago their age were in the ratio of 2 : 1. The ratio of the age of father and son after 10 years will be
a) 10 : 7
b) 3 : 5
c) 4 : 3
d) 5 : 3
Answer »Answer: (d)
5 years ago, let the age of father = 2x years (let)
Then, Age of son = x years
2x + 5 + x + 5 = 100
3x = 100 - 10 = 90
$x = 90/3$ = 30
Father’s present age
= 2x + 5 = 60 + 5 = 65 years
Son’s present age = x + 5
= 30 + 5 = 35 years.
After 10 years,
Ratio = ${65 + 10}/{35 + 10}$
$75/45 = 5/3$ = 5 : 3
IMPORTANT quantitative aptitude EXERCISES
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199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
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Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
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159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
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199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
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259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
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199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
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