MCQ practice · SSC General Mathematics Board questions · Chapter 3: Algebraic Expressions
What is (a − 1/a)²?
Think it through first, then pick an option.
- a 10
- b 6
- c 4
- d 2
Answer and explanation
Correct answer: d 2
(a − 1/a)² = (a + 1/a)² − 4 = 6 − 4 = 2.
Why the other options are wrong
- a 10: 10 = 6 + 4: the 4 has been added instead of subtracted.
- b 6: 6 is (a + 1/a)²; to get (a − 1/a)² take 4 away from it.
- c 4: 4 is a² + 1/a² (the previous answer); take 2 from it to reach 2.
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