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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

On ℤ, the relation aRb if a − b is divisible by 5 produces how many equivalence classes?

Answer: 5.

  • A 10
  • B Infinitely many
  • C 5
  • D 2

Correct answer: C. 5

Explanation: The classes correspond to the possible remainders 0, 1, 2, 3 and 4 on division by 5.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →