HCF and LCM

Only available for you

41 Find the greatest number which divides 29,60 and 103 leaving remainders 5,12 and 7,respectively:

A
12
B
24
C
19
D
29

42 Product of two coprime numbers is 117. Then, their LCM is

A
90
B
130
C
139
D
117

43 Four Iron metal rods 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. Find out the maximum number of pieces that can be cut?

A
36
B
30
C
38
D
32

44 The LCM of two numbers is 2376 while their HCF is 33. If one of the number is 297, then the other number is:

A
230
B
276
C
266
D
240

45 Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case:

A
6
B
5
C
4
D
2

46 The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A
1386
B
1580
C
1683
D
1482

47 Four different electronic devices make a beep after every 30 minutes, 1 hour, 1 hour 30 minutes and 1 hour 45 minutes respectively. All the device beeped together at 12 noon. They will again beep together at

A
9:30 AM
B
9:00 AM
C
10:30 AM
D
10:00 AM

48 The length, breadth and height of a room are 363m, 528m and 693m respectively. Determine the longest tape that can measure the three dimensions of the room exactly:

A
41 m
B
37 m
C
31 m
D
33 m

49 The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.?

A
72
B
60
C
64
D
56

50 The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

A
127
B
137
C
147
D
157