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A number when divided by 35 leaves a remainder 18 . What will be the remainder when it is divided by 7?
Question

A number when divided by 35 leaves a remainder 18 . What will be the remainder when it is divided by 7?

A.

5

B.

4

C.

3

D.

6

Correct option is B

Given:
Divisor 1 = 35
Remainder 1 = 18
Divisor 2 = 7
Formula Used:
If Divisor 1 is perfectly divisible by Divisor 2, the new remainder is the remainder when Remainder 1 is divided by Divisor 2.
Solution:
Let the number be N.
N = 35k + 18
We need to find the remainder when N is divided by 7.
N = 7 × 5k + 14 + 4
N = 7(5k + 2) + 4
Since 35 is completely divisible by 7, the new remainder is simply the remainder when 18 is divided by 7.
18 = 7 × 2 + 4
The remainder is 4.
Final Answer
So the correct answer is (b)

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