LCM and HCF

1.		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)

2.		Four different buzzers make a beep after every 30 minutes, 1 hour, 1 hour 30 minutes and 1 hour 45 minutes respectively. All buzzers beeped together at 12 noon. They will again beep together at

3:00 AM

6:00 AM

9:00 AM

12 Midnight

3.		The length, breadth and height of a room are 363m, 528m and 693m respectively. Length of the longest rod that can measure the three dimensions of the room exactly is-

33 metre

36 metre

29 metre

30 metre

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

1105

1250

1200

1120

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.		Four different coloured ropes of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?

27

33

36

42

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

9200

9460

9600

9650

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

1

2

3

4

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

1

2

3

4

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

30

20

25

35