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.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 39 cm and 93 cm?
A. 1209 cm
B. 3 cm
C. 132 cm
D. 93 cm
Correct Answer: B
The greatest equal length is the HCF of 39 and 93, which is 3 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 36 and 88?
A. 3168
B. 124
C. 792
D. 4
Correct Answer: C
The least common multiple is 792.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 2739. If one number is 33, what is the other number?
A. 83
B. 1
C. 2739
D. 33
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 1×2739/33 = 83.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 30 and 78.
A. 396
B. 390
C. 6
D. 2340
Correct Answer: B
LCM(30,78) = 390.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 27 and 73.
A. 1
B. 2
C. 3
D. 1971
Correct Answer: A
The greatest integer dividing both 27 and 73 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 24 cm and 68 cm?
A. 408 cm
B. 92 cm
C. 68 cm
D. 4 cm
Correct Answer: D
The greatest equal length is the HCF of 24 and 68, which is 4 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 21 and 63?
A. 1323
B. 84
C. 63
D. 21
Correct Answer: C
The least common multiple is 63.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 522. If one number is 18, what is the other number?
A. 18
B. 522
C. 58
D. 2
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 2×522/18 = 58.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 15 and 53.
A. 797
B. 795
C. 796
D. 1
Correct Answer: B
LCM(15,53) = 795.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 12 and 48.
A. 14
B. 11
C. 12
D. 48
Correct Answer: C
The greatest integer dividing both 12 and 48 is 12.