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 33 cm?
A. 102 cm
B. 759 cm
C. 69 cm
D. 3 cm
Correct Answer: D
The greatest equal length is the HCF of 69 and 33, which is 3 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 66 and 28?
A. 2
B. 1848
C. 94
D. 924
Correct Answer: D
The least common multiple is 924.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1449. If one number is 63, what is the other number?
A. 63
B. 1
C. 23
D. 1449
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 1×1449/63 = 23.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 60 and 18.
A. 6
B. 180
C. 1080
D. 186
Correct Answer: B
LCM(60,18) = 180.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 57 and 93.
A. 1767
B. 2
C. 3
D. 5
Correct Answer: C
The greatest integer dividing both 57 and 93 is 3.
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 88 cm?
A. 88 cm
B. 142 cm
C. 2376 cm
D. 2 cm
Correct Answer: D
The greatest equal length is the HCF of 54 and 88, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 51 and 83?
A. 4234
B. 134
C. 4233
D. 1
Correct Answer: C
The least common multiple is 4233.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 6 and their LCM is 624. If one number is 48, what is the other number?
A. 6
B. 624
C. 48
D. 78
Correct Answer: D
Product of two numbers = HCF × LCM. Other number = 6×624/48 = 78.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 45 and 73.
A. 3286
B. 3285
C. 3287
D. 1
Correct Answer: B
LCM(45,73) = 3285.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 42 and 68.
A. 1428
B. 2
C. 1
D. 4
Correct Answer: B
The greatest integer dividing both 42 and 68 is 2.
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 63 cm?
A. 63 cm
B. 819 cm
C. 102 cm
D. 3 cm
Correct Answer: D
The greatest equal length is the HCF of 39 and 63, which is 3 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 36 and 58?
A. 2
B. 1044
C. 94
D. 2088
Correct Answer: B
The least common multiple is 1044.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1749. If one number is 33, what is the other number?
A. 33
B. 53
C. 1749
D. 1
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 1×1749/33 = 53.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 30 and 48.
A. 6
B. 240
C. 246
D. 1440
Correct Answer: B
LCM(30,48) = 240.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 27 and 43.
A. 3
B. 1161
C. 1
D. 2
Correct Answer: C
The greatest integer dividing both 27 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 24 cm and 38 cm?
A. 62 cm
B. 456 cm
C. 38 cm
D. 2 cm
Correct Answer: D
The greatest equal length is the HCF of 24 and 38, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 21 and 33?
A. 231
B. 693
C. 3
D. 54
Correct Answer: A
The least common multiple is 231.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 252. If one number is 18, what is the other number?
A. 28
B. 18
C. 2
D. 252
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 2×252/18 = 28.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 15 and 23.
A. 1
B. 345
C. 347
D. 346
Correct Answer: B
LCM(15,23) = 345.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 12 and 18.
A. 6
B. 36
C. 8
D. 5
Correct Answer: A
The greatest integer dividing both 12 and 18 is 6.