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 3 :Consider two sets \(A=\{2,3,5,7,11,13\}\) and \(B=\{1,8,27\}\). Let \(f\) be a function from \(A\) to \(B\) such that for every element \(b\) in \(B\), there is at least one element \(a\) in \(A\) such that \(f(a)=b\). Then, the total number of such functions \(f\) is

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Video Explanation

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Explanatory Answer

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The question is "Consider two sets \(A=\{2,3,5,7,11,13\}\) and \(B=\{1,8,27\}\). Let \(f\) be a function from \(A\) to \(B\) such that for every element \(b\) in \(B\), there is at least one element \(a\) in \(A\) such that \(f(a)=b\). Then, the total number of such functions \(f\) is "

Hence, the answer is '540'

Choice A is the correct answer.

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