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CTET 7 Feb 2026 Paper 1, Question 54

Topic: Operations on numbers

Q54

Which of the following mathematical statements is true?

  1. (1) Zero is called an additive identity for whole numbers.Correct answer
  2. (2) Mathematics is based only on observations and experiments.
  3. (3) Zero is called the multiplicative identity for whole numbers.
  4. (4) Commutative law holds true for the operation of ‘division’.

Solution.

CBSE answer: (1)

Answer: (1) Zero is called an additive identity for whole numbers.

  1. Adding 0 leaves any whole number unchanged: a+0=aa + 0 = a. So 0 is the additive identity.
  2. The multiplicative identity is 1, not 0, since a×1=aa \times 1 = a; so (3) is false.
  3. Division is not commutative: 6÷3=26 \div 3 = 2 but 3÷6=123 \div 6 = \frac{1}{2}; so (4) is false.
  4. Mathematics rests on logical reasoning and proof, not only on observation; so (2) is false.