CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 19 cm and 23 cm?
A. 437 cm
B. 42 cm
C. 1 cm
D. 23 cm
Correct Answer: C
The greatest equal length is the HCF of 19 and 23, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 16 and 18?
A. 34
B. 2
C. 144
D. 288
Correct Answer: C
The least common multiple is 144.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1209. If one number is 13, what is the other number?
A. 1209
B. 13
C. 1
D. 93
Correct Answer: D
Product of two numbers = HCF × LCM. Other number = 1×1209/13 = 93.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 80 and 88.
A. 888
B. 8
C. 880
D. 7040
Correct Answer: C
LCM(80,88) = 880.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 77 and 83.
A. 2
B. 6391
C. 1
D. 3
Correct Answer: C
The greatest integer dividing both 77 and 83 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 74 cm and 78 cm?
A. 78 cm
B. 2886 cm
C. 2 cm
D. 152 cm
Correct Answer: C
The greatest equal length is the HCF of 74 and 78, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 71 and 73?
A. 5184
B. 5183
C. 1
D. 144
Correct Answer: B
The least common multiple is 5183.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 68 and their LCM is 68. If one number is 68, what is the other number?
A. 71
B. 68
C. 69
D. 70
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 68×68/68 = 68.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 65 and 63.
A. 4097
B. 4095
C. 4096
D. 1
Correct Answer: B
LCM(65,63) = 4095.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 62 and 58.
A. 2
B. 4
C. 1
D. 1798
Correct Answer: A
The greatest integer dividing both 62 and 58 is 2.
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.