HCF AND LCM DIVISIBLITY
1. The least number of five digits which is exactly
divisible by 12, 15 and 18, is:
1)10010 2)10015 3)10020 4)10080
2. The greatest number of four digit which is divisible by
15, 25, 40 and 75 is:
1) 9000
2)9400 3)9600 4)9800
3. The least number which should be added to 2497 so that
the sum is exactly divisible by 5, 6, 4 and 3 is:
1)3 2)13 3)23 4)33
4. The least number which is a perfect square and is
divisible by each of the numbers 16, 20 and 24 is
1)1600
2)3600 3)6400 4)14400
5. The smallest number which when diminished by 7, is
divisible by 12, 16, 18, 21 and 28 is:
1)1008 2)1015 3)1022 4)1032
6. The least number which when increased by 5 is divisible
by each one of 24, 32, 36 and 54, is:
1) 427 2)859 3)869 4) 4320
7. The least number, which when divided by 12, 15, 20 and 54
leaves in each case a remainder of 8, is:
1) 504 2)536 3)544 4)548
8. The largest four digit number which when divided by 4, 7
or 13 leaves a remainder of 3 in each case, is:
1) 8739 2)9831 3)9834 4)9893
9.let the least number of six digits which when divided by
4, 6, 10, and 15, leaves in each case the same remainders of 2, be N. the sum
of the digits in N is:
1)3 2)4 3)5 4)6
10. The least multiple of 7, which leaves a remainder of 4,
when divided by 6, 9, 15 and 118 is:
1)74 2)94 3) 184 4) 364
11. the least number which when divided by 48, 60, 72, 108
and 140 leaves 38, 50, 62, 98 and 130 as remainder respectively, is
1)11115 2)15110 3)15120 4)15210
12. find the least multiple of 23, which when divided by 18,
21 and 24 leaves remainders 7, 10 and 13 respectively.
1) 3002 2)
3013 3)3024 4) 3036
13. the least number which when divided by 5, 6, 7 and 8
leaves a remainder 3, but when divided by 9 leaves no remainder, is:
1)1677 2)
1683 3) 2523 4)3363
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