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


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


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Let x be the number and y be the quotient.
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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