LCM and HCF

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

4/105

2/105

16/105

8/105

2.		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

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

1

2

3

4

4.		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

5.		A, B and C start at the same time in the same direction to run around a circular track of length 240 m. A , B and C running at 5 m/s, 6 m/sec and 8 m/sec respectively. If all starting at the same point, then after what time will they again meet at the starting point ?

4 mins

4 mins 15 secs

3 mins 45 secs

6 mins

6.		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)

7.		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

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

3576

7164

7146

4786

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

30

20

25

35

10.		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