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A number when divided by 280 leaves 73 as the remainder. When the same number is divided by 35, the remainder will be:
Question

A number when divided by 280 leaves 73 as the remainder. When the same number is divided by 35, the remainder will be:

A.

3

B.

4

C.

2

D.

7

Correct option is A

Given:

A number when divided by 280 leaves 73 as the remainder. 

Concept used:

Dividend = divisor × quotient + remainder

Solution:

The number when divided by 280 leaves 73 as the remainder

Then the number is of the form 280x + 73

 When 280x + 73 is divided by 35, that is (280x+73)35\frac{ (280x + 73)}{35}​,

The remainder = 3

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