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1 vote

The greatest number of four digits which when divided by 3, 5, 7, 9 leave remainders 1, 3, 5, 7 respectively is :

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The greatest number of four digits which when divided by 3, 5, 7, 9 leave remainders 1, 3, 5, 7 respectively is :
1). 9763
2). 9764
3). 9766
4). 9765

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2 answers

0 vote
Answered by on | Votes 0 |
option 1 : 9763 is correct

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2 vote
Answered by on | Votes 2 |
The difference between divisor and the corresponding remainder is equal. LCM of 3, 5, 7 and 9 = 315 Largest 4-digit number = 9999 Number divisible by 315 = 9999 – 234 = 9765 Required number = 9765 – 2 = 9763




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