# CAT 2022 Question Paper | Quant Slot 3

###### CAT Previous Year Paper | CAT Quant Questions | Question 16

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. 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 16 : A group of $N$ people worked on a project. They finished $35 $%$ of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day. Then the value of $N$ is 1. 23 2. 140 3. 36 4. 150 ## 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 N people finish 35% of the project by working 7 hours a day for 10 days. N people finish 35% of the project by working 70 hours. N people finish 5% of the project by working 10 hours. N people finish 65% of the project by working 130 hours. 65% of the project is done in N * 130 man hours. The remaining 65% was actually done by$N-10) people in 14 days by working 10 hours a day.
(N-10) people finish 65% of the project by working 140 hours.
65% of the project is done in (N - 10) * 140 man hours.
N * 130 = (N - 10) * 140
13N = 14N - 140
N = 140

Choice B is the correct answer.

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