If x is an even integer and x/18 is an odd integer, which of the following is NOT an even integer?
Choose the correct choice from the following options
A) (x^2)/54 B) (x^2)/24 C) (x^2)/9 D) (x^2)/6 E) (x^2)/2
since x is an even integer and x/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 x/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 24 is a multiple of 4. hence answer should be (x^2)/24
<result>B</result>
If x is an even integer and x/18 is an odd integer, which of the following is NOT an even integer?