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 73 cm?
A. 1 cm
B. 3577 cm
C. 122 cm
D. 73 cm
Correct Answer: A
The greatest equal length is the HCF of 49 and 73, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 46 and 68?
A. 114
B. 2
C. 3128
D. 1564
Correct Answer: D
The least common multiple is 1564.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 2709. If one number is 43, what is the other number?
A. 43
B. 63
C. 2709
D. 1
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 1×2709/43 = 63.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 40 and 58.
A. 1160
B. 2
C. 1162
D. 2320
Correct Answer: A
LCM(40,58) = 1160.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 37 and 53.
A. 1
B. 2
C. 3
D. 1961
Correct Answer: A
The greatest integer dividing both 37 and 53 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 48 cm?
A. 48 cm
B. 2 cm
C. 816 cm
D. 82 cm
Correct Answer: B
The greatest equal length is the HCF of 34 and 48, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 31 and 43?
A. 74
B. 1
C. 1333
D. 1334
Correct Answer: C
The least common multiple is 1333.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 532. If one number is 28, what is the other number?
A. 28
B. 2
C. 38
D. 532
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 2×532/28 = 38.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 25 and 33.
A. 825
B. 827
C. 826
D. 1
Correct Answer: A
LCM(25,33) = 825.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 22 and 28.
A. 2
B. 308
C. 1
D. 4
Correct Answer: A
The greatest integer dividing both 22 and 28 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 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.