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Q.

A number N when divided by 14 gives the remainder 5. What is the remainder when the same number is divided by 7?

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a

7

b

8

c

6

d

5

answer is A.

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Detailed Solution

detailed_solution_thumbnail

Let the number be n.
When n is divided by 14, the remainder is 5.
Let the quotient be q.

The remainder equation is: n = 14q + 5

⇒ n = 7 × (2q) + 5

Let 2q = p

⇒ n = 7p + 5

Here, p is the new quotient and the above equation is the equation obtained when n is divided by 7.

Hence, when n is divided by 7, the remainder obtained is 5.

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