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 33 cm?
A. 1 cm
B. 1947 cm
C. 59 cm
D. 92 cm
Correct Answer: A
The greatest equal length is the HCF of 59 and 33, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 56 and 28?
A. 1568
B. 28
C. 56
D. 84
Correct Answer: C
The least common multiple is 56.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1219. If one number is 53, what is the other number?
A. 23
B. 53
C. 1219
D. 1
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 1×1219/53 = 23.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 50 and 18.
A. 452
B. 450
C. 900
D. 2
Correct Answer: B
LCM(50,18) = 450.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 47 and 93.
A. 2
B. 3
C. 1
D. 4371
Correct Answer: C
The greatest integer dividing both 47 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 44 cm and 88 cm?
A. 88 cm
B. 44 cm-1
C. 44 cm
D. 132 cm
Correct Answer: C
The greatest equal length is the HCF of 44 and 88, which is 44 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 41 and 83?
A. 1
B. 3403
C. 3404
D. 124
Correct Answer: B
The least common multiple is 3403.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 1482. If one number is 38, what is the other number?
A. 1482
B. 2
C. 78
D. 38
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 2×1482/38 = 78.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 35 and 73.
A. 2556
B. 1
C. 2557
D. 2555
Correct Answer: D
LCM(35,73) = 2555.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 32 and 68.
A. 4
B. 3
C. 544
D. 6
Correct Answer: A
The greatest integer dividing both 32 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 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.