Question
On dividing a number by 357, 39 is obtained as remainder. On dividing the same number by 17, what will be the remainder ?
On dividing a number by 357, 39 is obtained as remainder. On dividing the same number by 17, what will be the remainder ?
Answer: Option C
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Answer : Option C
Explanation :
Let P be the number
Let P ÷ 357 = a, remainder = 39
Then P = 357a + 39
= (17 × 21 × a) + 34 + 5
= (17 × 21 × a) + (17 × 2) + 5
= 17(21a + 2) + 5
Hence, if the same number is divided by 17, we will get 5 as remainder.
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