Question

if P Q R S are consecutive odd numbers then p square + Q square + R square + s square are always divisible by ​

Answer 1

Correct option is D)

Given

a,b,c,d,e are five consecutive odd number

b=a+2

c=a+4

d=a+6

e=a+8

Avg =

5

a+b+c+d+e

=

5

a+a+2+a+4+a+6+a+8

=

5

5a+20

Avg =a+4