HCF and LCM

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61 Find out the smallest possible length that can be exactly measured by the scales of lengths 3 cm, 5 cm and 10 cm?

A
15 cm
B
30cm
C
28 cm
D
40 cm

62 Find the least number which when divided by 24, 30 and 54 leaves 5 as remainder in each case:

A
1075
B
1080
C
1085
D
1100

63 Find the least possible 5-digit number, which when divided by 10, 12, 16 and 18 leaves remaindes 27:

A
10007
B
10207
C
10107
D
10104

64 Find out the least number which is exactly divisible by 8, 9, 12, 15 and 18 and is also a perfect square?

A
3600
B
7200
C
5200
D
6500

65 20 Seven bells ring at intervals of 2,3,4,6, 8,9 and 12 min, respectively. They started ringing simultaneously at 5:00 in the morning. What will be the next time when they all ring simultaneously?

A
7:00 O'clock
B
6:12 O'clock
C
6:00 O'clock
D
7:12 O'clock

66 The difference of two numbers is 1/9 of their sum. Their sum is 45. Find the LCM:

A
100
B
90
C
80
D
110

67 The HCF of three numbers is 23. If they are in the ratio of 1: 2: 3, then find the numbers:

A
69, 15, 22
B
23, 46, 69
C
25, 31, 41
D
23, 21, 35

68 The product of two whole numbers is 1500 and their HCF is 10. Find the LCM:

A
300
B
150
C
100
D
50

69 The sum of HCF and LCM of two numbers is 403 and their LCM is 12 times their HCF. If one number is 93, then find the another number:

A
115
B
122
C
124
D
138

70 The sum of two numbers is 1056 and their HCF is 66, find the number of such pairs:

A
6
B
2
C
4
D
8