CAT 2024 Question Paper | Quant Slot 1

CAT Questions

CAT 2024 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 5 :Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is

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Video Explanation

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Explanatory Answer

Renu can finish the work in 60 hours.​
Seema can finish the work in 40 hours.​
Total task = 120 k units​
Renu’s 1 hour work = 2k units/hr​
Seema’s 1 hour work = 3k units/hr​

​ Now, Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema.
Renu works for 2 hrs/day for 2n days.​
Seema works for 4 hrs/day for n days.​
4n(2k) + 4n(3k) = 120k
20 n k = 120k
N = 120/20 = 6 days ​

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The question is "Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is "

Hence, the answer is '6'

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