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Relations and Functions (Class 12)

JEE Main 2025 (Online) 22nd January Evening ShiftMCQMedium📈 Topic in 18% papers+4−1
Ques. 1JEE Main 2025, 22 January (Evening Shift)

Let A=\1,2,3,4\ and B=\1,4,9,16\. Then the number of many-one functions f:A B such that 1 f(A) is equal to :

  1. 151
  2. 139
  3. 163
  4. 127

Answer

(1) 151

Solution

All functions 44=256; those missing 1: 34=81 1 f(A): 256-81=175

One-one = bijections =4!=24 (each contains 1)

many-one with 1 f(A) =175-24=151

Answer: (1)

Keep practising — Relations and Functions (Class 12)

Ques. 2JEE Main 2025, 22 January (Evening Shift)

Let A=\1,2,3\. The number of relations on A, containing (1,2) and (2,3), which are reflexive and transitive but not symmetric, is .

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