# IPM Sample Paper 2020 | IPM Rohtak Quantitative Aptitude

###### IPMAT Sample Paper | IPMAT Question Paper | Question 33

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Question 33 : John's present age is one fourth of his father's age two years ago. John's father's age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?

1. 5years
2. 7years
3. 9years
4. 11years

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Let John's current age be J.
his father's current age be F.
and Raman's current age be R.

John's present age is one fourth of his father's age two years ago.
So J = $$frac{1}{4}\\$$F-2)

John's father's age will be twice Raman's age after 10 years.
F+10 = 2(R+10)

Raman's 12th birthday was celebrated 2 years ago
R-2 = 12

J = $$frac{1}{4}\\$$F-2)
F+10 = 2(R+10)
R-2 = 12

R=14

F+10 = 2(R+10) = 2(14+10)= 48
F = 48-10 =38.

J = $$frac{1}{4}\\$$F-2) = $$frac{1}{4}\\$$38-2) = $$frac{1}{4}\\$ * 36 = 9 years. Therefore, John's current age is 9 years. The question is "John's present age is one fourth of his father's age two years ago. John's father's age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?" ##### Hence, the answer is 9years Choice C is the correct answer ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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