Let A and B are positive number and composite number respectively. Then which of the following can be true None𝐴+𝐵𝐴𝐴+𝐵𝐴cannot be  an even integerB – A cannot be a even integerAB cannot be a even integer

Let 𝑛 be an integer. Prove that if 3𝑛 + 2 is even, then 𝑛 is even usinga) a proof by contraposition.b) a proof by contradictio

Given:(1) If n is an even number, then 5n + 2 is always an even number.(2) If n is an integer larger than 1, then 2^n − 1 is always a prime number.Select one of the following choices:Question 16Answera.(1) and (2) are True.b.(1) is True and (2) is False.c.(1) and (2) are False.d.(1) is False and (2) is True.

An even number can be expressed as the square of an integer as well as a cube of another integer. Then the number has to be necessarily divisible by:

For each of the following statements, either prove that the statement is true, or finda counterexample to show that the statement is false and explain your reasoning.(a) For each integer n, n is even if and only if 6n + 4 is even.(b) For all integers ℓ, m, n, if ℓ + m is odd and ℓ + n is even, then m + n is odd.

Let 𝑛 be an integer. Show that 𝑛 is even if and only if 𝑛3 + 5 is odd