Question

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

Answer 1

Prime numbers are not divisible by any number, except for itself and 1. For example: 2,3,5,7,11,.....

This example has a small trick. It doesn't require you to figure out all the 5 numbers. You just need to figure out A, which is the smallest one.

If you look closely, you will find that all prime numbers are odd; except for the number 2. The problem says that the sum of five prime numbers is 266. You should know that the sum of five odd numbers is odd. Therefore, we cannot have all the number odd; since the answer is even. Since 2 is the only even prime number, it must be one of the numbers. Therefore, A=2; which makes $A^{5} = 32.$