MCQ practice · SSC Higher Mathematics Board questions · Chapter 10: Binomial Expansion
What is the coefficient of x² in the expansion of (1 + x/4)⁷?
Think it through first, then pick an option.
- a 7/4
- b 21/4
- c 21/16
- d 35/64
Answer and explanation
Correct answer: c 21/16
(7 2)(1/4)² = 21/16, so this is the value.
Why the other options are wrong
- a 7/4: 7/4 is the coefficient of x (7 × 1/4). The right answer is 21/16.
- b 21/4: 21/4 uses 1/4 instead of (1/4)². The right answer is 21/16.
- d 35/64: 35/64 is the coefficient of x³, (7 3)/4³. The right answer is 21/16.
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