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MCQ practice · SSC General Mathematics Board questions · Chapter 11: Algebraic Ratio and Proportion

Cumilla Board 2025

If b, a, c are in continued proportion,

  1. i. a² = bc
  2. ii. b/a = c/a
  3. iii. (a+b)/(a−b) = (c+a)/(c−a)

Think it through first, then pick an option.

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

Correct answer: c i and iii

i is true (a² = bc) and iii is true (by componendo-dividendo); ii is false.

Why the other options are wrong

  • a i and ii: i is true but ii is false: b : a = a : c gives b/a = a/c, not c/a.
  • b ii and iii: ii is false (b/a = a/c), so ii and iii cannot both be correct.
  • d i, ii and iii: ii is false, so all three cannot be true together.