MCQ practice · SSC Higher Mathematics Board questions · Chapter 10: Binomial Expansion
In ascending powers of x, if the 2nd term of the expansion is 72, what is x?
Think it through first, then pick an option.
- a 3
- b 4
- c 5
- d 6
Answer and explanation
Correct answer: d 6
in ascending powers of (2x + 1)⁶ the 2nd term is (6 1)(2x) = 12x = 72, so x = 6, so this is the value.
Why the other options are wrong
- a 3: x = 3 gives 12x = 36, not 72. The right answer is 6.
- b 4: x = 4 gives 12x = 48, not 72. The right answer is 6.
- c 5: x = 5 gives 12x = 60, not 72. The right answer is 6.
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