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Mathematics NULL Medium
Question

Find the least number which when divided by 6, 7, 8, 9 and 10 leaves remainders 1, 2, 3, 4 and 5 respectively, but when divided by 19 leaves no remainder.

A
5073
B
5016
C
5054
D
5035
✓ Official correct answer

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A
5073
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B
5016
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C
5054
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D
5035
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Explanation

n + 5 is a multiple of LCM(6,7,8,9,10) = 2520, and n is a multiple of 19. Least is 5035.

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