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.
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 33 cm?
A. 1 cm
B. 1947 cm
C. 59 cm
D. 92 cm
Correct Answer: A
The greatest equal length is the HCF of 59 and 33, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 56 and 28?
A. 1568
B. 28
C. 56
D. 84
Correct Answer: C
The least common multiple is 56.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1219. If one number is 53, what is the other number?
A. 23
B. 53
C. 1219
D. 1
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 1×1219/53 = 23.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 50 and 18.
A. 452
B. 450
C. 900
D. 2
Correct Answer: B
LCM(50,18) = 450.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 47 and 93.
A. 2
B. 3
C. 1
D. 4371
Correct Answer: C
The greatest integer dividing both 47 and 93 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 88 cm?
A. 88 cm
B. 44 cm-1
C. 44 cm
D. 132 cm
Correct Answer: C
The greatest equal length is the HCF of 44 and 88, which is 44 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 41 and 83?
A. 1
B. 3403
C. 3404
D. 124
Correct Answer: B
The least common multiple is 3403.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 1482. If one number is 38, what is the other number?
A. 1482
B. 2
C. 78
D. 38
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 2×1482/38 = 78.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 35 and 73.
A. 2556
B. 1
C. 2557
D. 2555
Correct Answer: D
LCM(35,73) = 2555.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 32 and 68.
A. 4
B. 3
C. 544
D. 6
Correct Answer: A
The greatest integer dividing both 32 and 68 is 4.