x/5 gives a fraction

X+4/10 <<< New Fraction

Given: After simplification, the Denominator of the result is odd...

(x+4)/(5*2)

After simplification, the denominator is 5... which means, the numerator is a multiple of 2 [because 2 got cancelled from the numerator and denominator

Hence, the new numerator is EVEN

x+4 = EVEN

Which means that x is Even

also, x is prime... Thus x is an even prime!!

Viola, the original prime number is 2

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From 650 to 710 to 750 - My Tryst With GMAT [Experience Thread]