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CAT 2024 Functions — Previous Year Question

Year

CAT 2024

Section

Quantitative

Topic

Functions

Difficulty

Hard

Question

Slot-1

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

540

537

665

667

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