CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 59 cm and 83 cm?
A. 1 cm
B. 4897 cm
C. 83 cm
D. 142 cm
Correct Answer: A
The greatest equal length is the HCF of 59 and 83, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 56 and 78?
A. 4368
B. 134
C. 2184
D. 2
Correct Answer: C
The least common multiple is 2184.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 3869. If one number is 53, what is the other number?
A. 3869
B. 1
C. 73
D. 53
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 1×3869/53 = 73.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 50 and 68.
A. 1702
B. 1700
C. 2
D. 3400
Correct Answer: B
LCM(50,68) = 1700.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 47 and 63.
A. 3
B. 2961
C. 1
D. 2
Correct Answer: C
The greatest integer dividing both 47 and 63 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 44 cm and 58 cm?
A. 2 cm
B. 102 cm
C. 1276 cm
D. 58 cm
Correct Answer: A
The greatest equal length is the HCF of 44 and 58, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 41 and 53?
A. 94
B. 2174
C. 1
D. 2173
Correct Answer: D
The least common multiple is 2173.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 912. If one number is 38, what is the other number?
A. 38
B. 48
C. 2
D. 912
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 2×912/38 = 48.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 35 and 43.
A. 1507
B. 1
C. 1505
D. 1506
Correct Answer: C
LCM(35,43) = 1505.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 32 and 38.
A. 608
B. 4
C. 2
D. 1
Correct Answer: C
The greatest integer dividing both 32 and 38 is 2.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 29 cm and 33 cm?
A. 1 cm
B. 957 cm
C. 62 cm
D. 33 cm
Correct Answer: A
The greatest equal length is the HCF of 29 and 33, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 26 and 28?
A. 2
B. 728
C. 364
D. 54
Correct Answer: C
The least common multiple is 364.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 23 and their LCM is 23. If one number is 23, what is the other number?
A. 23
B. 25
C. 26
D. 24
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 23×23/23 = 23.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 20 and 18.
A. 360
B. 180
C. 2
D. 182
Correct Answer: B
LCM(20,18) = 180.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 17 and 93.
A. 2
B. 1
C. 3
D. 1581
Correct Answer: B
The greatest integer dividing both 17 and 93 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 14 cm and 88 cm?
A. 2 cm
B. 102 cm
C. 616 cm
D. 88 cm
Correct Answer: A
The greatest equal length is the HCF of 14 and 88, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 81 and 83?
A. 6723
B. 1
C. 6724
D. 164
Correct Answer: A
The least common multiple is 6723.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 78 and their LCM is 78. If one number is 78, what is the other number?
A. 80
B. 78
C. 81
D. 79
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 78×78/78 = 78.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 75 and 73.
A. 1
B. 5476
C. 5475
D. 5477
Correct Answer: C
LCM(75,73) = 5475.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 72 and 68.
A. 1224
B. 4
C. 3
D. 6
Correct Answer: B
The greatest integer dividing both 72 and 68 is 4.