Question

shoe that one and only out of n+2or n+4is divided by 3where n is any unique pair of integers and r saying a=b q grater then r=b
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Answer 1

hence it is justified one & only one among n+2 n+4 is divisible by 3 in each case

Answer 2

Answer:

Three cases arise

let n = 3q + r, where r = 0, 1, 2

Case 1

when n = 3q

then

● n + 2 = 3q + 2 it means leaves remainder 2 when divided by 3.

●n + 4 = 3q + 4 = 3q + 3 + 1 = 3(q + 1) + 1

it means leaves the remainder 1 when divided by 3.

=> n + 2 is not divisible by 3.

it means statement is false.