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MCQ practice · SSC General Mathematics Board questions · Chapter 3: Algebraic Expressions

Barishal Board 2025

What is the value of a² + 1/a²?

Think it through first, then pick an option.

  1. a 2
  2. b 4
  3. c 8
  4. d 10
Answer and explanation

Correct answer: b 4

(a + 1/a)² = 6, so a² + 1/a² = 6 − 2 = 4.

Why the other options are wrong

  • a 2: 2 is the part to subtract (2 · a · 1/a); it is not the answer.
  • c 8: 8 = 6 + 2: the 2 has been added; it must be subtracted.
  • d 10: 10 comes from no step; take 2 away from (√6)² = 6.