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Relations and Functions (Class 12)

JEE Main 2025 (Online) 22nd January Morning ShiftMCQEasy📈 Topic in 47% papers+4−1
Ques. 1JEE Main 2025, 22 January (Morning Shift)

The number of non-empty equivalence relations on the set \1,2,3\ is :

  1. 7
  2. 4
  3. 5
  4. 6

Answer

(3) 5

Solution

An equivalence relation on a set is the same as a partition of the set.

Partitions of \1,2,3\: all separate (1), one pair and one single (3), one class (1)

1+3+1=5

Answer: (3)

Keep practising — Relations and Functions (Class 12)

Ques. 2JEE 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
Ques. 3JEE 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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