LCM and HCF

1.		The greatest four digit number which when divided by 15, 50, 80 and 75 leaves no remainder, is:

9200

9460

9600

9650

2.		The product of L.C.M. and H.C.F. of two numbers is 4107. If the H.C.F. of these numbers is 37, then the smaller number is:

19

23

37

89

3.		The least number which when divided by 12, 27 and 35 leaves 6 as remainder, is:

3576

7164

7146

4786

4.		The smallest number which when divided by 4, 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

1677

1683

1687

1692

5.		Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. How many times do they toll together in 1 hour ?

32

30

29

31

6.		The greatest number that divides 43, 91 and 183 so as to leave the same remainder in each case,is:

4

13

7

11

7.		The greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case, is:

1105

1250

1200

1120

8.		What is the least number which when divided by 14, 9 and 12 leaves the same remainder 1 in each case?

253

352

505

252

9.		The greatest number which on dividing 1658 and 2040 leaves remainders 7 and 8 respectively, is:

123

127

131

137

10.		The sum of two number is 528 and their HCF is 33. How many pairs of such numbers are possible?

1

2

3

4