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Q.

A number when divided by 259 leaves a remainder 139 . What will be the remainder when the same number is divided by 37 ?

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a

28

b

29

c

30

d

31

answer is A.

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Detailed Solution

Concept- Using variables and equations, the aforementioned statement can be transformed into a mathematical form. Any integer can be represented in the following way with its divisor:
Number

Quotient

Divisor

Remainder
This outcome can be used to generate a strategy for answering the query. Constants like the quotient that are unknown can be represented as variables. Therefore, the solution can be reached by applying straightforward calculations.
If the number b

So

is divisible by 259
Let

be the quotient then

\frac{P - 139}{259} = Q

\Rightarrow P = 259 Q + 139

\Rightarrow \frac{P}{37} = \frac{259 Q + 139}{37}

is divisible by 37

When 139 divided by 37 leaves a remainder of 28.
Hence, the correct option is 1.

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A number when divided by 259 leaves a remainder 139 . What will be the remainder when the same number is divided by 37 ?