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 53 cm?
A. 112 cm
B. 59 cm
C. 1 cm
D. 3127 cm
Correct Answer: C
The greatest equal length is the HCF of 59 and 53, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 56 and 48?
A. 104
B. 8
C. 2688
D. 336
Correct Answer: D
The least common multiple is 336.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 2279. If one number is 53, what is the other number?
A. 2279
B. 43
C. 1
D. 53
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 1×2279/53 = 43.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 50 and 38.
A. 950
B. 1900
C. 2
D. 952
Correct Answer: A
LCM(50,38) = 950.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 47 and 33.
A. 1
B. 3
C. 1551
D. 2
Correct Answer: A
The greatest integer dividing both 47 and 33 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 28 cm?
A. 44 cm
B. 308 cm
C. 4 cm
D. 72 cm
Correct Answer: C
The greatest equal length is the HCF of 44 and 28, which is 4 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 41 and 23?
A. 943
B. 1
C. 944
D. 64
Correct Answer: A
The least common multiple is 943.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 342. If one number is 38, what is the other number?
A. 2
B. 342
C. 18
D. 38
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 2×342/38 = 18.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 35 and 93.
A. 3256
B. 3255
C. 1
D. 3257
Correct Answer: B
LCM(35,93) = 3255.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 32 and 88.
A. 7
B. 352
C. 10
D. 8
Correct Answer: D
The greatest integer dividing both 32 and 88 is 8.
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.