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 : 16 [SSC Constable 2015]
The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in year is
a) 150
b) 160
c) 140
d) 180
Answer »Answer: (c)
Age of first person = 5x years
Age of second person
= 9x years
According to the question,
9x - 5x = 40
4x = 40 ⇒ x = 10
Sum of their ages
= 5x + 9x = 14x
= 14 × 10 = 140 years
Question : 17 [SSC CHSL 2013]
The ratio of age of two boys is 5 : 6. After two years the ratio will be 7 : 8. The ratio of their age after 12 years will be
a) $17/18$
b) $11/12$
c) $15/16$
d) $22/24$
Answer »Answer: (a)
The present age of boys are 5x and 6x years respectively.
After 2 years,
${5x + 2}/{6x + 2} = 7/8$
42x + 14 = 40x + 16
2x = 2 ⇒ x = 1
Ratio after 12 years
5x + 12 : 6x + 12 = 17 : 18
Question : 18 [SSC CPO S.I.2005]
The ratio of the present age of Puneet and Appu is 2 : 3. After 3 years the ratio of their age will be 3 : 4. The present age of Puneet is :
a) 9 years
b) 4 years
c) 6 years
d) 3 years
Answer »Answer: (c)
Let the present age of Puneet and Appu be 2x and 3x years respectively.
After 3 years,
${2x + 3}/{3x + 3} = 3/4$
9x + 9 = 8x + 12
x = 3
Present age of Puneet
= 2x = 2 × 3 = 6 years
Question : 19 [SSC CPO 2016]
If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52 years, what is the ratio of their present ages ?
a) 7 : 8
b) 4 : 5
c) 6 : 7
d) 5 : 6
Answer »Answer: (c)
4 years ago,
P’s age = 5x years
Q’s age = 6x years
According to the question,
5x + 4 + 6x + 4 = 52
11x = 52 - 8 = 44
$x = 44/11$ = 4
Required ratio
= (5x + 4) : (6x + 4)
= (5 × 4 + 4) : (6 × 4 + 4)
= 24 : 28 = 6 : 7
Question : 20 [SSC CHSL 2012]
The ratio between Sumit’s and Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after 6 years will be
a) 4 : 3
b) 3 : 4
c) 1 : 2
d) 2 : 3
Answer »Answer: (b)
Sumit’s present age
= 2x years
Prakash’s present age
= 3x years
3x - 2x = 6 ⇒ x = 6
Required ratio
= (2 × 6 + 6) : (3 × 6 + 6)
= 18 : 24 = 3 : 4
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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