LCM and HCF

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

4

13

7

11

2.		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

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.		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)

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

3576

7164

7146

4786

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 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

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

1

2

3

4

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

123

127

131

137

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

1

2

3

4