CAT 2020 Question Paper | Quants Slot 3

CAT Previous Year Paper | CAT Quants Questions | Question 12

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Question 12 : Let m and n be natural numbers such that n is even and 0.2 < $$frac{m}{20}$, $\frac{n}{m}$, $\frac{n}{11}$ < 0.5. Then m - 2n equals 1. 4 2. 2 3. 1 4. 3 Best CAT Online Coaching Try upto 40 hours for free Learn from the best! 2IIM : Best Online CAT Coaching. Video Explanation Best CAT Coaching in Chennai CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! Explanatory Answer 0.2 < $\frac{m}{20}$, $\frac{n}{m}$, $\frac{n}{11}$ < 0.5 $\frac{1}{5}$ < $\frac{m}{20}$, $\frac{n}{m}$, $\frac{n}{11}$ < $\frac{1}{2}$ $\frac{1}{5}$ < $\frac{m}{20}$ < $\frac{1}{2}$ Observe that if m = 4; $\frac{m}{20}$ = $\frac{4}{20}$ = $\frac{1}{5}$ In order for $\frac{m}{20}$to be greater than $\frac{1}{5}$, m > 4 Similarly, observe that if m = 10; $\frac{m}{20}$ = $\frac{10}{20}$ = $\frac{1}{2}$ In order for $\frac{m}{20}$to be lesser than $\frac{1}{2}$, m < 10 So, the possible values that m can take = {5, 6, 7, 8, 9} $\frac{1}{5}$ < $\frac{n}{11}$ < $\frac{1}{2}$ Observe that if n = 2.2; $\frac{n}{11}$ = $\frac{2.2}{11}$ = $\frac{1}{5}$ In order for $\frac{n}{11}$to be greater than $\frac{1}{5}$, n > 2.2 Similarly, observe that if n = 5.5; $\frac{n}{11}$ = $\frac{5.5}{11}$ = $\frac{1}{2}$ In order for $\frac{n}{11}$to be lesser than $\frac{1}{2}$, n < 5.5 So, the possible values that n can take = {3, 4, 5} We are told that n is even; n = 4. If n = 4; $\frac{n}{m}$ will be greater than $\frac{1}{5}$ if m is less than 20. Similarly at n = 4; $\frac{n}{m}$ will be lesser than $\frac{1}{2}$ if m is greater than 8. So, for n = 4; 8 ≤ m ≤ 20. m can only take one of the values in {5, 6, 7, 8, 9} Hence m = 9. m - 2n = 9 - 2$4) = 9 - 8 = 1.

The question is "Let m and n be natural numbers such that n is even and 0.2 < $$frac{m}{20}$, $\frac{n}{m}$, $\frac{n}{11}$ < 0.5. Then m - 2n equals" Hence, the answer is, "1" Best CAT Online Coaching Try upto 40 hours for free Learn from the best! Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule Know all about CAT Exam Syllabus and what to expect in CAT Already have an Account? CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar Best CAT Coaching in Chennai Attend a Demo Class Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! CAT Questions | CAT Quantitative Aptitude CAT Questions | Verbal Ability for CAT 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? Mobile:$91) 99626 48484 / 94459 38484
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