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MCQ practice · SSC Higher Mathematics Board questions · Chapter 6: Inequality

Mymensingh Board 2024

If a > b and c < 0, which of the following is correct?

  1. i. ac < bc
  2. ii. ac > bc
  3. iii. a/c < b/c

Think it through first, then pick an option.

  1. a i and ii
  2. b i and iii
  3. c ii and iii
  4. d i, ii and iii
Answer and explanation

Correct answer: b i and iii

Checking the statements: i is true: multiplying by the negative c reverses the direction; ii is false: multiplying reverses the direction, giving ac < bc; iii is true: dividing by the negative c also reverses the direction.

Why the other options are wrong

  • a i and ii: ii is not true: multiplying reverses the direction, giving ac < bc; iii is true but is left out of this option: dividing by the negative c also reverses the direction. The correct option is i and iii.
  • c ii and iii: ii is not true: multiplying reverses the direction, giving ac < bc; i is true but is left out of this option: multiplying by the negative c reverses the direction. The correct option is i and iii.
  • d i, ii and iii: ii is not true: multiplying reverses the direction, giving ac < bc. The correct option is i and iii.