Question
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
Answer: Option D
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Answer : Option D
Explanation :
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Solution 1
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Number = 56x + 29 (∵ since the number gives 29 as remainder on dividing by 56)
= (7 × 8 × x) + (3 × 8) + 5
Hence, if the number is divided by 8, we will get 5 as remainder.
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Solution 2
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Number = 56x + 29
Let x = 1. Then the number = 56 × 1 + 29 = 85
85 ÷ 8 = 10, remainder = 5
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