LCM and HCF

1.		The product of L.C.M. and H.C.F. of two numbers is 4107. If the H.C.F. of these numbers is 37, then the smaller number is:

19

23

37

89

2.		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

3.		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

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

1105

1250

1200

1120

7.		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

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

4

13

7

11

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

30

20

25

35

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

3576

7164

7146

4786