If b is an even integer and b/18 is an odd integer, which of the following is NOT an even integer? Choose the correct option
A) (b^2)/54 B) (b^2)/8 C) (b^2)/9 D) (b^2)/6 E) (b^2)/2
since b is an even integer and b/18 is an odd integer. thus maximum power of 2 in a is one. why ?? because if the power of 2 in the expression has been 2 or greater, then the b/18 must have been an even integer. (18=2*3^2. as 18 contain only one 2 in the expression)   now, any expression in which we have 4 at the denominator will be odd. out of the given options only 8 is a multiple of 4. hence answer should be (b^2)/8
<result>B</result>
If b is an even integer and b/18 is an odd integer, which of the following is NOT an even integer?