CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 49 cm and 23 cm?
A. 1 cm
B. 72 cm
C. 1127 cm
D. 49 cm
Correct Answer: A
The greatest equal length is the HCF of 49 and 23, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 46 and 18?
A. 414
B. 64
C. 828
D. 2
Correct Answer: A
The least common multiple is 414.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 3999. If one number is 43, what is the other number?
A. 43
B. 3999
C. 1
D. 93
Correct Answer: D
Product of two numbers = HCF × LCM. Other number = 1×3999/43 = 93.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 40 and 88.
A. 440
B. 448
C. 3520
D. 8
Correct Answer: A
LCM(40,88) = 440.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 37 and 83.
A. 3
B. 1
C. 3071
D. 2
Correct Answer: B
The greatest integer dividing both 37 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 34 cm and 78 cm?
A. 2 cm
B. 112 cm
C. 1326 cm
D. 78 cm
Correct Answer: A
The greatest equal length is the HCF of 34 and 78, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 31 and 73?
A. 1
B. 2263
C. 2264
D. 104
Correct Answer: B
The least common multiple is 2263.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 4 and their LCM is 476. If one number is 28, what is the other number?
A. 68
B. 28
C. 4
D. 476
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 4×476/28 = 68.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 25 and 63.
A. 1576
B. 1
C. 1575
D. 1577
Correct Answer: C
LCM(25,63) = 1575.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 22 and 58.
A. 638
B. 4
C. 1
D. 2
Correct Answer: D
The greatest integer dividing both 22 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 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.