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 12:An amount of Rs 10000 is deposited in bank A for a certain number of years at a simple interest of 5% per annum. On maturity, the total amount received is deposited in bank B for another 5 years at a simple interest of 6% per annum. If the interests received from bank A and bank B are in the ratio 10 : 13, then the investment period, in years, in bank A is

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Video Explanation

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Explanatory Answer

Interest from bank A = 10000*n*5 / 100 = 500n ( n is the Investment period, in years, in Bank A)
Interest from bank B = (10000*6*5/ 100) + (500n*6*5/100) = 3000 + 150n

​ Ratio of interest from Bank A and Bank B= 500n/ 3000 + 150n = 10/13
6500n = 30000 + 1500n
5000n = 30000
N = 30000/5000 = 6

Investment period, in years, in Bank A = 6

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The question is "An amount of Rs 10000 is deposited in bank A for a certain number of years at a simple interest of 5% per annum. On maturity, the total amount received is deposited in bank B for another 5 years at a simple interest of 6% per annum. If the interests received from bank A and bank B are in the ratio 10 : 13, then the investment period, in years, in bank A is"

Hence, the answer is '6'

Choice C is the correct answer.

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