Question

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16. Find the greatest number of 4 digits which when divided by 4, 12, 16 and 2
leaves 2, 10, 14 and 22 as remainders respectively.
17. Find the smallest number of 6 digits which on being diminished by 7 is exact​

Answer 1

Answer:

16. 12 -2 = 10

16 - 6 =10

24 - 14 =10

Now LCM of 12, 16 and 24 is 48.

The greatest number of four digit is 9999.

The greatest four digit number divisible by 48 will also be divisible by 12,16 and 24. That's 9984. If number 10 is subtracted from the number 9984 the resulting number will follow the condition in the question and that number is 9974.

17.  LCM is 600 divide 100000 by 600 then the remainder is 400 then subtract 400 from 600 then add 200 with 100000 then it is 100200 then add 7 with it then the answer is 100207