[" Q.5.Write the following statement in symbolic form and find its truth value."],[qquad AA n in N,n^(2)+n" is an even number and "n^(2)-n" is an odd number."]

Write the following statement is symbolic form and find its truth value : AA n in N, n^(2)+n is an even number and n^(2)-n is an odd number.

If n is an odd number then n^(3) will be an even number.

Write the truth values of the following statements: AA n in N, n2 + n is even number while n2- n is an odd number.

Write the converse of the following statements: If a number n is even, then n^(2) is even.

Write the converse of the following statements. If a number n is even, then n^(2) is even.

Write the truth values of the following statements: AA n in N, n + 6 > 8.

Write the truth value of the statement: 2 ^(n) ge 2n for n in N

n(n^(2)-1), is divisible by 24 if n is an odd positive number.

If composite function f_1(f_2(f_3((f_n(x))))n timesis an increasing function and if r of f_i ' s are decreasing function while rest are increasing, then the maximum value of r(n-r) is (n^2-1)/4 , when n is an even number (n^2)/4, when n is an odd number (n^2-1)/4, when n is an odd number (n^2)/4, when n is an even number