The greatest number of four digits which when divided by 12, 16 and 24 leave remainders 2.6 and 14 respectively is
The greatest number of four digits which when divided by 12, 16 and 24 leave remainders 2.6 and 14 respectively is
1). 9974
2). 9970
3). 9807
4). 9998
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option 1 is the right answer
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Using Rule 5,
Here,12 – 2 = 10; 16 – 6 = 10;
24 – 14 = 10
Now, LCM of 12, 16 and 24 = 48
\ The greatest 4–digit number
exactly divisible by 48 = 9984
\ Required number
= 9984 – 10 = 9974
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