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 53 cm?
A. 102 cm
B. 53 cm
C. 1 cm
D. 2597 cm
Correct Answer: C
The greatest equal length is the HCF of 49 and 53, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 46 and 48?
A. 2208
B. 94
C. 2
D. 1104
Correct Answer: D
The least common multiple is 1104.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 43 and their LCM is 43. If one number is 43, what is the other number?
A. 46
B. 45
C. 43
D. 44
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 43×43/43 = 43.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 40 and 38.
A. 762
B. 760
C. 2
D. 1520
Correct Answer: B
LCM(40,38) = 760.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 37 and 33.
A. 2
B. 1221
C. 1
D. 3
Correct Answer: C
The greatest integer dividing both 37 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 34 cm and 28 cm?
A. 2 cm
B. 476 cm
C. 62 cm
D. 34 cm
Correct Answer: A
The greatest equal length is the HCF of 34 and 28, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 31 and 23?
A. 714
B. 713
C. 54
D. 1
Correct Answer: B
The least common multiple is 713.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 252. If one number is 28, what is the other number?
A. 2
B. 18
C. 252
D. 28
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 2×252/28 = 18.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 25 and 93.
A. 2325
B. 1
C. 2327
D. 2326
Correct Answer: A
LCM(25,93) = 2325.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 22 and 88.
A. 21
B. 24
C. 88
D. 22
Correct Answer: D
The greatest integer dividing both 22 and 88 is 22.
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 83 cm?
A. 1 cm
B. 102 cm
C. 83 cm
D. 1577 cm
Correct Answer: A
The greatest equal length is the HCF of 19 and 83, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 16 and 78?
A. 2
B. 1248
C. 94
D. 624
Correct Answer: D
The least common multiple is 624.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 949. If one number is 13, what is the other number?
A. 73
B. 949
C. 13
D. 1
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 1×949/13 = 73.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 80 and 68.
A. 1360
B. 5440
C. 4
D. 1364
Correct Answer: A
LCM(80,68) = 1360.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 77 and 63.
A. 693
B. 7
C. 6
D. 9
Correct Answer: B
The greatest integer dividing both 77 and 63 is 7.
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 58 cm?
A. 74 cm
B. 132 cm
C. 2146 cm
D. 2 cm
Correct Answer: D
The greatest equal length is the HCF of 74 and 58, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 71 and 53?
A. 3763
B. 3764
C. 124
D. 1
Correct Answer: A
The least common multiple is 3763.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 4 and their LCM is 816. If one number is 68, what is the other number?
A. 68
B. 816
C. 48
D. 4
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 4×816/68 = 48.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 65 and 43.
A. 2797
B. 2796
C. 2795
D. 1
Correct Answer: C
LCM(65,43) = 2795.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 62 and 38.
A. 4
B. 2
C. 1
D. 1178
Correct Answer: B
The greatest integer dividing both 62 and 38 is 2.