CAT 2023 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 9

CAT 2023 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 9 : The minor angle between the hours hand and minutes hand of a clock was observed at $8: 48 $mathrm{am}$. The minimum duration, in minutes, after 8.48 am when this angle increases by $50 $%$ is 1. $\frac{36}{11}$ 2. $\frac{24}{11}$ 3. 2 4. 4 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 The hour hand completes one full rotation in 12 hours, rotating in the clockwise direction. 08:48 is the time elapsed after 8.8 hours$and not 8.48 hours$ from 12-o-clock. This means the angle covered by the hour hand is $$frac { 8.8 } { 12 } $times 360 = 264 ^ { \circ }$ At 8:48, the minutes’ hand would have covered $\frac { 48 } { 60 } \times 360 = 288 ^ { \circ }$ The difference is 24 degrees. Since the minutes’ hand is ahead of the hours’ hand at 8:48, We need a further separation of 12 degrees. Every minute the separation between them increases by $\left$ $frac { 1 } { 60 } - \frac { 1 } { 720 } \right$ $times 360 = \frac { 11 } { 2 }$ degrees. Therefore the time in minutes to achieve a difference of 12 degrees is, $\frac { 12 } { \frac { 11 } { 2 } } = \frac { 24 } { 11 }$ degrees. The question is " The minor angle between the hours hand and minutes hand of a clock was observed at $8: 48 \mathrm{am}$. The minimum duration, in minutes, after 8.48 am when this angle increases by $50 \%$ is " Hence, the answer is '$\frac{24}{11}$' Choice B is the correct answer. 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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