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 53 cm?
A. 53 cm
B. 1007 cm
C. 1 cm
D. 72 cm
Correct Answer: C
The greatest equal length is the HCF of 19 and 53, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 16 and 48?
A. 48
B. 16
C. 64
D. 768
Correct Answer: A
The least common multiple is 48.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 559. If one number is 13, what is the other number?
A. 43
B. 559
C. 13
D. 1
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 1×559/13 = 43.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 80 and 38.
A. 3040
B. 2
C. 1520
D. 1522
Correct Answer: C
LCM(80,38) = 1520.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 77 and 33.
A. 13
B. 11
C. 231
D. 10
Correct Answer: B
The greatest integer dividing both 77 and 33 is 11.
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 28 cm?
A. 2 cm
B. 1036 cm
C. 102 cm
D. 74 cm
Correct Answer: A
The greatest equal length is the HCF of 74 and 28, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 71 and 23?
A. 1
B. 94
C. 1634
D. 1633
Correct Answer: D
The least common multiple is 1633.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 612. If one number is 68, what is the other number?
A. 2
B. 18
C. 612
D. 68
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 2×612/68 = 18.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 65 and 93.
A. 6045
B. 6047
C. 1
D. 6046
Correct Answer: A
LCM(65,93) = 6045.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 62 and 88.
A. 2728
B. 2
C. 4
D. 1
Correct Answer: B
The greatest integer dividing both 62 and 88 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 83 cm?
A. 1 cm
B. 4897 cm
C. 83 cm
D. 142 cm
Correct Answer: A
The greatest equal length is the HCF of 59 and 83, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 56 and 78?
A. 4368
B. 134
C. 2184
D. 2
Correct Answer: C
The least common multiple is 2184.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 3869. If one number is 53, what is the other number?
A. 3869
B. 1
C. 73
D. 53
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 1×3869/53 = 73.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 50 and 68.
A. 1702
B. 1700
C. 2
D. 3400
Correct Answer: B
LCM(50,68) = 1700.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 47 and 63.
A. 3
B. 2961
C. 1
D. 2
Correct Answer: C
The greatest integer dividing both 47 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 44 cm and 58 cm?
A. 2 cm
B. 102 cm
C. 1276 cm
D. 58 cm
Correct Answer: A
The greatest equal length is the HCF of 44 and 58, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 41 and 53?
A. 94
B. 2174
C. 1
D. 2173
Correct Answer: D
The least common multiple is 2173.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 912. If one number is 38, what is the other number?
A. 38
B. 48
C. 2
D. 912
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 2×912/38 = 48.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 35 and 43.
A. 1507
B. 1
C. 1505
D. 1506
Correct Answer: C
LCM(35,43) = 1505.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 32 and 38.
A. 608
B. 4
C. 2
D. 1
Correct Answer: C
The greatest integer dividing both 32 and 38 is 2.