MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function
If 2^(y + 3) + 2^(y + 1) = 320, what is y?
Think it through first, then pick an option.
- a 0
- b 1
- c 4
- d 5
Answer and explanation
Correct answer: d 5
2^(y+1)(4 + 1) = 320, 2^(y+1) = 64 = 2⁶, so y = 5.
Why the other options are wrong
- a 0: For y = 0 the left side is 8 + 2 = 10, not 320.
- b 1: For y = 1 the left side is 16 + 4 = 20, not 320.
- c 4: For y = 4 the left side is 128 + 32 = 160, not 320.
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