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.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 69 cm and 63 cm?
A. 132 cm
B. 1449 cm
C. 69 cm
D. 3 cm
Correct Answer: D
The greatest equal length is the HCF of 69 and 63, which is 3 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 66 and 58?
A. 3828
B. 1914
C. 124
D. 2
Correct Answer: B
The least common multiple is 1914.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 3339. If one number is 63, what is the other number?
A. 3339
B. 53
C. 1
D. 63
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 1×3339/63 = 53.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 60 and 48.
A. 240
B. 2880
C. 12
D. 252
Correct Answer: A
LCM(60,48) = 240.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 57 and 43.
A. 2451
B. 3
C. 2
D. 1
Correct Answer: D
The greatest integer dividing both 57 and 43 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 54 cm and 38 cm?
A. 1026 cm
B. 54 cm
C. 2 cm
D. 92 cm
Correct Answer: C
The greatest equal length is the HCF of 54 and 38, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 51 and 33?
A. 561
B. 84
C. 3
D. 1683
Correct Answer: A
The least common multiple is 561.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 4 and their LCM is 336. If one number is 48, what is the other number?
A. 28
B. 336
C. 48
D. 4
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 4×336/48 = 28.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 45 and 23.
A. 1035
B. 1036
C. 1
D. 1037
Correct Answer: A
LCM(45,23) = 1035.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 42 and 18.
A. 8
B. 126
C. 6
D. 5
Correct Answer: C
The greatest integer dividing both 42 and 18 is 6.