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If the positive integer N leaves a rem...

If the positive integer N leaves a remainder of 3 when divided by 7 , which of the folllowing statements would be ture ?
I. `4N + 2` is divisible by 14
II. `N^(2) - 2` is divisible by 7
III. `(N + 3) ( N + 4)` is divisible by 7.

A

Only I

B

Only II

C

Only III

D

I, II and III

Text Solution

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The correct Answer is:
D
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  • The positive integer m and n leave remainders of 2 and 3, respectively. When divided by 6. m > n. What is the remainder when m - n is divided by 6?

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