Question

If A, B, C, D and E are five prime numbers, sum of these five numbers=$266$. It is given that $A<B<C<D<E$ the value of $A^5$ is

• A. $243$
• B. $32$
• C. $3125$
• D. Cant' determined

Answer 1

Answer: (B)

$32$

All prime numbers are odd numbers except 2.

Addition of two odd numbers gives us an even number.

working on this logic, we see that, if all the 5 prime numbers are odd, adding them will give us an odd result, thereby, at-least one of the prime number should be even. the only number fulfilling this criterion is 2.

therefore

$A=2$

$A^5=32$