Mathematics
NULL
Medium
Question
Find the greatest four-digit number which when divided by 10, 15, 21 and 28 leaves remainders 4, 9, 15 and 22 respectively.
A
9654
✓ Official correct answer
B
9666
C
9664
D
9864
Community credibility
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A
9654
No member explanations yet for this option.
B
9666
No member explanations yet for this option.
C
9664
No member explanations yet for this option.
D
9864
No member explanations yet for this option.
Explanation
n + 6 is a multiple of LCM(10,15,21,28) = 420. Greatest four-digit such n is 9654.