# IPM Sample Paper 2020 | IPM Rohtak Quantitative Aptitude

###### IPMAT Sample Paper | IPMAT Question Paper | Question 35

IPMAT 2020 Sample Paper IPM Rohtak Quantitative Aptitude. Solve questions from IPMAT 2020 Sample Paper from IPM Rohtak and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 35 : Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q and R together can complete the work in 30 days then in how many days P alone can do the work?

1. 52 days
2. 42 days
3. 30 days
4. 50 days

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Let’s consider that P can complete the job in x days.

Work done by P in one day is double the work done by Q in one day, which means P is twice as efficient as Q and takes half the time required by Q to complete the work.
Which means time taken by Q = twice the time taken by P to complete the work.

Time taken by Q to complete the task = 2 * x.

Work done by Q in one day is thrice the work done by R in one day, which means Q is three times as efficient as R and takes one third of the time required by R to complete the work.
Which means time taken by R = thrice the time taken by Q to complete the work.

Time taken by R to complete the task = 3 * 2 * x = 6 * x.

P takes x days to finish the task. So, the fraction of job completed by P in one day is $$frac{1}{x}\\$. Q takes 2x days to finish the task. So, the fraction of job completed by Q in one day is $\frac{1}{2x}\\$. R takes 6x days to finish the task. So, the fraction of job completed by R in one day is $\frac{1}{6x}\\$. If P,Q,R work together, the fraction of work done in one day will be $\frac{1}{x}\\$ + $\frac{1}{2x}\\$ + $\frac{1}{6x}\\$. It is also given that the three of them can finish the job in 30 days. So if they work together, the fraction of work done in one day will be $\frac{1}{30}\\$. So, $\frac{1}{x}\\$ + $\frac{1}{2x}\\$ + $\frac{1}{6x}\\$ = $\frac{1}{6x}\\$ $\frac{$6+3+1$}{6x}$ = $\frac{1}{6x}\\$ $\frac{10}{6x}\\$ = $\frac{1}{6x}\\$ x = 50 days. Therefore, P can alone do the work in 50 days. The question is "Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q and R together can complete the work in 30 days then in how many days P alone can do the work?" ##### Hence, the answer is 50 days Choice D 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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