CAT 2024 Question Paper | Quant Slot 2

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 15 Anil invests Rs 22000 for 6 years in a scheme with 4% interest per annum, compounded half-yearly. Separately, Sunil invests a certain amount in the same scheme for 5 years, and then reinvests the entire amount he receives at the end of 5 years, for one year at 10% simple interest. If the amounts received by both at the end of 6 years are equal, then the initial investment, in rupees, made by Sunil is

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Video Explanation

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Explanatory Answer

Total amount received by Anil at the end of 6 years \(=22000(1.02)^{12}\)
Total amount received by Sunil at the end of 6 years \(=x(1.02)^{10 *} 1.1\)
Both the amounts are equal, \(22000(1.02)^{12}=x(1.02)^{10 *} 1.1\);
\(x=22000 *(1.02)^2 / 1.1=20000 * 1.02 * 1.02=20808\).

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The question is "Anil invests Rs 22000 for 6 years in a scheme with 4% interest per annum, compounded half-yearly. Separately, Sunil invests a certain amount in the same scheme for 5 years, and then reinvests the entire amount he receives at the end of 5 years, for one year at 10% simple interest. If the amounts received by both at the end of 6 years are equal, then the initial investment, in rupees, made by Sunil is "

Hence, the answer is '20808'

Choice B is the correct answer.

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