H.C.F & L.C.M

1.The HCF of 168, 1 69 and 231 reduced by 8 gives [ SSC 1992]
a)13 b)14 c)17 d)21
2.Two whole numbers are in the ratio of 15: 11. is there HCF is 7. the number are [SSC-1996]
a)90,66 b)105,77 c)15,11 d)195,143
3.The LCM of two numbers is 63 and their HCF age 9. if one of the numbers is 27, the other number will be [ SSC 1991]
a)9 b)21 c)17 d)189
4.The HCF and LCM of two numbers are 11 and 385 respectively. if one number lies between 75 and 125, then other number is [ RRB 2010]
a)77 b)88 c)99 d)110
5.The smallest fraction, with each of 6/7, 5/14,10/21 will divide exactly is [ LIC 10, RRB 08]
a)30/98 b)50/294 c)30/7 d)60/147
6.The sum of two numbers is 84 and their HCF is 12. the number of such Pair is [MISC 2005]
a)2 b)3 c)4 d)5
7.Find the smallest number which divided by 57, 76 and 190, leaves the reminder 10 in each case
[ SSC 05, MISC 04]
a)1130 b)1140 c)1150 d)1160
8.If HCF of two numbers a and b is 1, then the HCF of a + b and a-b is [ SSC 1993]
a)1 b) either one or two c) either 1 or 3 d) either 2 or 3
9.The least number, which on being divided by 5, 6, 7 or 8 leaves in each case the remainder of 3, but when divided by 9 then reminder is [ SSC 2007]
A)1677 b)1683 c)1697 d)1703
10.When a heap of pebbles is arranged into groups of 32 each, 10 pebbles are left over. arranged in heaps of 40 each, 18 pebbles are left over and when in groups of 72 each,

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