Concept: Natural number: All the positive integers from 1 to infinity. Even number: Whole numbers that have the digits 0,2,4,6, or 8 in their one's place are even numbers. Odd number: Any number which cannot be divided by two. Calculation: Statement: 1 Let n,n+1, and n+2 be three consecutive natural numbers. Let, P(n)=n3+(n+1)3+(n+2)3 is divisible by 9 . For n=1, ⇒13+23+33 ⇒1+8+27=36 is divisible by 9 ⇒ For n=4 ⇒43+53+63 ⇒64+125+215=405 is divisible by 9 Hence, statement 1 is correct. Statement: 2 Take 32,52,72 we get ⇒9,25,49 which is divisible by 8 and gives 1 as remainder. Similarly, we can check for any other value as well. Hence, statement 2 is correct. ∴ Both 1 and 2 are correct.