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When a Number is Divided by 779, We Get a Remainder of 47. What Remainder Will Be Obtained by Dividing the Same Number by 19? - Mathematics

MCQ

When a number is divided by 779, we get a remainder of 47. What remainder will be obtained by dividing the same number by 19?

Options

  • 6

  • 7

  • 9

  • 11

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Solution


Explanation:
Let x be the number and y be the quotient.
Then, x = 779y + 47
= 19 x 41y + 19 x 2 + 9 = 19(41y + 2) + 9
∴ Required remainder = 9

Concept: Number System (Entrance Exam)
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