CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 79 cm and 43 cm?
A. 122 cm
B. 3397 cm
C. 79 cm
D. 1 cm
Correct Answer: D
The greatest equal length is the HCF of 79 and 43, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 76 and 38?
A. 114
B. 38
C. 2888
D. 76
Correct Answer: D
The least common multiple is 76.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 2409. If one number is 73, what is the other number?
A. 2409
B. 73
C. 1
D. 33
Correct Answer: D
Product of two numbers = HCF × LCM. Other number = 1×2409/73 = 33.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 70 and 28.
A. 14
B. 140
C. 154
D. 1960
Correct Answer: B
LCM(70,28) = 140.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 67 and 23.
A. 1541
B. 3
C. 2
D. 1
Correct Answer: D
The greatest integer dividing both 67 and 23 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 64 cm and 18 cm?
A. 576 cm
B. 2 cm
C. 64 cm
D. 82 cm
Correct Answer: B
The greatest equal length is the HCF of 64 and 18, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 61 and 93?
A. 154
B. 1
C. 5673
D. 5674
Correct Answer: C
The least common multiple is 5673.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 2552. If one number is 58, what is the other number?
A. 88
B. 2552
C. 2
D. 58
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 2×2552/58 = 88.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 55 and 83.
A. 1
B. 4565
C. 4567
D. 4566
Correct Answer: B
LCM(55,83) = 4565.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 52 and 78.
A. 28
B. 26
C. 25
D. 156
Correct Answer: B
The greatest integer dividing both 52 and 78 is 26.
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.