LCM and HCF

1.		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

2.		For which of the following number pair the product of their LCM and HCF is 48 and the difference of two numbers is 8?

(1,48)

(6,8)

(4,12)

(3,16)

3.		The least number which should be subtracted from 2533 so that it becomes exactly divisible by 3, 4, 5 and 6,is:

13

17

3

33

4.		The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs are:

1

2

3

4

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

1105

1250

1200

1120

6.		HCF of 2/3, 4/5 and 6/7 is

4/105

2/105

16/105

8/105

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

4

13

7

11

8.		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

9.		Find the greatest number which when divides 564 and 467 leaves the remainder as 4 and 7 respectively.

30

20

25

35

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

3576

7164

7146

4786