A Number Divided by 56 Gives 29 as Remainder. If the Same Number is Divided by 8, the Remainder Will Be - Mathematics

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MCQ

A number divided by 56 gives 29 as the remainder. If the same number is divided by 8, the remainder will be

Options

  • 4

  • 5

  • 6

  • 7

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Solution

5
Explanation:
Let x be the number and y be the quotient.
Then,
x = 56 × y + 29
= (8 × 7y) + 8 × 3 + 5 = 8(7y + 3) + 5
∴ Required remainder = 5

Concept: Number System (Entrance Exam)
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