LCM and HCF

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

123

127

131

137

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

1

2

3

4

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

1105

1250

1200

1120

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

4/105

2/105

16/105

8/105

5.		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

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

1

2

3

4

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

9200

9460

9600

9650

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

30

20

25

35

9.		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

10.		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