Quantitative Aptitude – Number System – The number of integers x such

Slot -1 – Quantitative Aptitude – Number System – The number of integers x such that 0.25

The number of integers x such that 0.25 <2^x < 200, and 2^x +2 is perfectly divisible by either 3 or 4, is?

Answer: 5

Solution: as given 0.25 < 2^x < 200

Or ¼ < 2^x < 200
So x = { -2, -1, 0,1,2,3,4,5,6,7}
Now 2^x +2 will be perfectly divisible by 3 if x is even non-negative integer and will be divisible by 4 if x = 1
So number of possible solution = 5 { x = 0, 1, 2, 4 ,6}

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