Bunuel wrote:
If x and y are positive integers and 2^x + 2^x + 2^x + 2^x = y, what is the value of y?
(1) 122 < y < 250
(2) 3 < x < 6
Question stem can be written as\(4*2^x=y\) or\(2^{x+2}=y\)
As x and y are positive integers so y must be some power of2.
Statement 1 : this implies\(122<2^{x+2}<250\) , in this range only\(128\) or\(2^7\) is possible because\(2^8=256\) which is outside the range. HenceSufficient
Statement 2 x can have multiple values, hence y will have multiple values.Insufficient
Option
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