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CTET PAPER II 2018 · PYQ · Rational Numbers · medium

Let a, b, c be three rational numbers, where a = 3/5, b = -2/3 and c = -5/6. Which one of the following is true?

  1. A.a + (b × c) = (b + a) × (b + c)
  2. B.a × (b + c) = (a × b) + (a × c)✓ Correct
  3. C.a + (b × c) = (a + c) × (b + c)
  4. D.a × (b + c) = (a × c) + (a × b)

Explanation

This question tests the distributive property of multiplication over addition for rational numbers. The distributive property states that a × (b + c) = (a × b) + (a × c). This property holds for all rational numbers and is a fundamental algebraic property. Option (4) is the same property written with terms reversed (a × c) + (a × b), which is also equivalent due to commutative property of addition.
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