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 83 cm?
A. 112 cm
B. 83 cm
C. 2407 cm
D. 1 cm
Correct Answer: D
The greatest equal length is the HCF of 29 and 83, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 26 and 78?
A. 2028
B. 104
C. 26
D. 78
Correct Answer: D
The least common multiple is 78.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1679. If one number is 23, what is the other number?
A. 1679
B. 23
C. 1
D. 73
Correct Answer: D
Product of two numbers = HCF × LCM. Other number = 1×1679/23 = 73.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 20 and 68.
A. 340
B. 4
C. 1360
D. 344
Correct Answer: A
LCM(20,68) = 340.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 17 and 63.
A. 2
B. 1
C. 1071
D. 3
Correct Answer: B
The greatest integer dividing both 17 and 63 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 58 cm?
A. 406 cm
B. 58 cm
C. 2 cm
D. 72 cm
Correct Answer: C
The greatest equal length is the HCF of 14 and 58, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 81 and 53?
A. 1
B. 4294
C. 134
D. 4293
Correct Answer: D
The least common multiple is 4293.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 6 and their LCM is 624. If one number is 78, what is the other number?
A. 6
B. 624
C. 48
D. 78
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 6×624/78 = 48.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 75 and 43.
A. 3225
B. 3227
C. 3226
D. 1
Correct Answer: A
LCM(75,43) = 3225.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 72 and 38.
A. 1
B. 1368
C. 4
D. 2
Correct Answer: D
The greatest integer dividing both 72 and 38 is 2.
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.