Question

किसी संख्या को 84 से विभाजित करने पर 27 शेष बचता है। उसी संख्या को 6 से विभाजित करने पर कितना शेष बचेगा ।
3
5
7
9
​

Answer 1

answer is 5................

Answer 2

SOLUTION

GIVEN

TO CHOOSE THE CORRECT OPTION

Dividing a number by 84 leaves 27 left. How much will be left by dividing the same number by 6

• 3

• 5

• 7

• 9

EVALUATION

Here it is given that Dividing a number by 84 leaves 27 left

Suppose x be the Quotient

Then

Dividend = Quotient × Divisor + Remainder

So the number is = 84x + 27

This number can be rewritten as below

$\sf{84x + 27}$

$\sf{ = (6 \times 14x) + (6 \times 4) + 3}$

$\sf{ = 6 (14x + 4) + 3}$

Now 6 ( 14x + 4 ) is divisible by 6

Hence the required Remainder when the same number is divided by 6 is 3

FINAL ANSWER

Hence the correct option is 3

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