When number is divided by 387 , the remainder obtained is 48. If the same…
2024
When number is divided by 387 , the remainder obtained is 48. If the same number is divided by 43 , then the remainder obtained is -
- A.
0
- B.
5
- C.
3
- D.
35
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Correct answer: B
Solution: Let the number be x. When divided by 387 the remainder is 48, so x = 387k + 48 for some integer k.
Since 387 = 43 × 9, substitute to get x = 43(9k) + 48.
Write 48 as 43 + 5.
Then x = 43(9k) + 43 + 5 = 43(9k + 1) + 5.
Therefore the remainder when x is divided by 43 is 5.