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HCF and LCM MCQs

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HCF and LCM

HCF and LCM MCQs With Answers

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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 73 cm?
A. 79 cm
B. 5767 cm
C. 152 cm
D. 1 cm
Correct Answer: D
The greatest equal length is the HCF of 79 and 73, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the least positive number exactly divisible by both 76 and 68?
A. 1292
B. 4
C. 5168
D. 144
Correct Answer: A
The least common multiple is 1292.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
The HCF of two numbers is 1 and their LCM is 4599. If one number is 73, what is the other number?
A. 73
B. 63
C. 1
D. 4599
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 1×4599/73 = 63.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the LCM of 70 and 58.
A. 2
B. 2030
C. 4060
D. 2032
Correct Answer: B
LCM(70,58) = 2030.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the HCF of 67 and 53.
A. 1
B. 3
C. 2
D. 3551
Correct Answer: A
The greatest integer dividing both 67 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 64 cm and 48 cm?
A. 16 cm
B. 192 cm
C. 64 cm
D. 112 cm
Correct Answer: A
The greatest equal length is the HCF of 64 and 48, which is 16 cm.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
What is the least positive number exactly divisible by both 61 and 43?
A. 2623
B. 1
C. 104
D. 2624
Correct Answer: A
The least common multiple is 2623.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
The HCF of two numbers is 2 and their LCM is 1102. If one number is 58, what is the other number?
A. 38
B. 1102
C. 58
D. 2
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 2×1102/58 = 38.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the LCM of 55 and 33.
A. 176
B. 11
C. 165
D. 1815
Correct Answer: C
LCM(55,33) = 165.
CSS - PMS - CCE - PCS - Mathematics HCF and LCM
Find the HCF of 52 and 28.
A. 364
B. 6
C. 3
D. 4
Correct Answer: D
The greatest integer dividing both 52 and 28 is 4.
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.
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