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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

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