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.		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

5.		Find the smallest 3-digit number which when divided by 2, 3, 4 and 5 leaves a common remainder 3 but when divided by 9 leaves no remainder?

123

153

183

213

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

123

127

131

137

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

1

2

3

4

8.		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

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

1105

1250

1200

1120

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

30

20

25

35