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.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 79 cm and 43 cm?
A. 122 cm
B. 3397 cm
C. 79 cm
D. 1 cm
Correct Answer: D
The greatest equal length is the HCF of 79 and 43, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 76 and 38?
A. 114
B. 38
C. 2888
D. 76
Correct Answer: D
The least common multiple is 76.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 2409. If one number is 73, what is the other number?
A. 2409
B. 73
C. 1
D. 33
Correct Answer: D
Product of two numbers = HCF × LCM. Other number = 1×2409/73 = 33.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 70 and 28.
A. 14
B. 140
C. 154
D. 1960
Correct Answer: B
LCM(70,28) = 140.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 67 and 23.
A. 1541
B. 3
C. 2
D. 1
Correct Answer: D
The greatest integer dividing both 67 and 23 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 64 cm and 18 cm?
A. 576 cm
B. 2 cm
C. 64 cm
D. 82 cm
Correct Answer: B
The greatest equal length is the HCF of 64 and 18, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 61 and 93?
A. 154
B. 1
C. 5673
D. 5674
Correct Answer: C
The least common multiple is 5673.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 2552. If one number is 58, what is the other number?
A. 88
B. 2552
C. 2
D. 58
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 2×2552/58 = 88.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 55 and 83.
A. 1
B. 4565
C. 4567
D. 4566
Correct Answer: B
LCM(55,83) = 4565.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 52 and 78.
A. 28
B. 26
C. 25
D. 156
Correct Answer: B
The greatest integer dividing both 52 and 78 is 26.