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 63 cm?
A. 1 cm
B. 1827 cm
C. 92 cm
D. 63 cm
Correct Answer: A
The greatest equal length is the HCF of 29 and 63, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 26 and 58?
A. 754
B. 84
C. 1508
D. 2
Correct Answer: A
The least common multiple is 754.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1219. If one number is 23, what is the other number?
A. 1219
B. 1
C. 23
D. 53
Correct Answer: D
Product of two numbers = HCF × LCM. Other number = 1×1219/23 = 53.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 20 and 48.
A. 244
B. 960
C. 4
D. 240
Correct Answer: D
LCM(20,48) = 240.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 17 and 43.
A. 731
B. 1
C. 3
D. 2
Correct Answer: B
The greatest integer dividing both 17 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 14 cm and 38 cm?
A. 266 cm
B. 38 cm
C. 2 cm
D. 52 cm
Correct Answer: C
The greatest equal length is the HCF of 14 and 38, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 81 and 33?
A. 3
B. 2673
C. 891
D. 114
Correct Answer: C
The least common multiple is 891.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 1092. If one number is 78, what is the other number?
A. 1092
B. 28
C. 2
D. 78
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 2×1092/78 = 28.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 75 and 23.
A. 1726
B. 1725
C. 1727
D. 1
Correct Answer: B
LCM(75,23) = 1725.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 72 and 18.
A. 17
B. 18
C. 72
D. 20
Correct Answer: B
The greatest integer dividing both 72 and 18 is 18.
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 93 cm?
A. 3 cm
B. 93 cm
C. 162 cm
D. 2139 cm
Correct Answer: A
The greatest equal length is the HCF of 69 and 93, which is 3 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 66 and 88?
A. 22
B. 264
C. 154
D. 5808
Correct Answer: B
The least common multiple is 264.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 5229. If one number is 63, what is the other number?
A. 83
B. 5229
C. 1
D. 63
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 1×5229/63 = 83.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 60 and 78.
A. 4680
B. 780
C. 6
D. 786
Correct Answer: B
LCM(60,78) = 780.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 57 and 73.
A. 4161
B. 2
C. 1
D. 3
Correct Answer: C
The greatest integer dividing both 57 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 54 cm and 68 cm?
A. 68 cm
B. 2 cm
C. 122 cm
D. 1836 cm
Correct Answer: B
The greatest equal length is the HCF of 54 and 68, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 51 and 63?
A. 3
B. 114
C. 1071
D. 3213
Correct Answer: C
The least common multiple is 1071.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 1392. If one number is 48, what is the other number?
A. 1392
B. 48
C. 58
D. 2
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 2×1392/48 = 58.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 45 and 53.
A. 2385
B. 1
C. 2387
D. 2386
Correct Answer: A
LCM(45,53) = 2385.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 42 and 48.
A. 6
B. 8
C. 5
D. 336
Correct Answer: A
The greatest integer dividing both 42 and 48 is 6.