LCM AND HCF CTET MCQ. We covered all the LCM AND HCF CTET MCQ in this post for free so that you can practice well for the exam.
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LCM AND HCF CTET MCQ for Students
Three bells chime at intervals of 30 minutes, 80 minutes, and 90 minutes respectively. If they last rang together at 8:30 am, at what time will they all ring together again?
a. 8:35 am
b. 8:35 pm
c. 8:30 pm
d. 8:40 am
Option c – 8:30 pm
Two numbers have an LCM of 96 and an HCF of 4. If one number is 32, what is the other number?
a. 12
b. 16
c. 14
d. 18
Option a – 12
Identify the smallest number that gives a remainder of 3 when divided by 5, 6, 7, and 8, and is exactly divisible by 9.
a. 1677
b. 1683
c. 2523
d. 3363
Option b – 1683
Find the smallest number that leaves a remainder of 8 when divided by 28, and a remainder of 12 when divided by 32.
a. 204
b. 203
c. 201
d. 200
Option a – 204
What is the product of the LCM and HCF of the numbers 3.02 and 1.8?
a. 5.436
b. 5.346
c. 5.643
d. 5.364
Option a – 5.436
Calculate the sum of the greatest common divisor of 5, 10, and 50 and the least common multiple of 10, 20, and 30.
a. 60
b. 65
c. 70
d. 75
Option b – 65
If the product of the common factors of 39 and 52 equals five times a number minus 117, what is that number?
a. 26
b. 30
c. 13
d. 15
Option a – 26
Given the sum of common factors of 15 and 90 equals 15 times a number minus 36, find that number.
a. 15
b. 10
c. 5
d. 4
Option d – 4
Find the sum of all factors of 96 that are divisible by 8.
a. 224
b. 226
c. 228
d. 230
Option a – 224
Determine the product of the highest common factor and least common multiple of 1.08, 0.36, and 0.9.
a. 0.999
b. 1.009
c. 0.900
d. 0.972
Option d – 0.972
Two numbers have an LCM of 864 and HCF of 144. If one number is 288, what is the other?
a. 576
b. 1296
c. 432
d. 144
Option c – 432
The product of the LCM and HCF is 124,416. If one number is 864, determine the other.
a. 132
b. 135
c. 140
d. 144
Option d – 144
What is the ratio of the LCM to the HCF of the numbers 28 and 42?
a. 6:1
b. 2:3
c. 3:2
d. 7:2
Option a – 6:1
Two numbers have an LCM of 693 and an HCF of 11.26. If one number is 77, find the other.
a. 66
b. 35
c. 99
d. 68
Option c – 99
Given two numbers in the ratio 3:4 and an LCM of 84, what is the larger number?
a. 21
b. 28
c. 24
d. 84
Option b – 28
Subtract the highest common factor of 64 and 80 from the least common multiple of 8, 12, and 15. What is the result?
a. 120
b. 130
c. 125
d. 104
Option d – 104
Multiply the least common multiple of 12 and 16 by the least common multiple of 10 and 15. What is the product?
a. 960
b. 720
c. 1440
d. 480
Option c – 1440
Calculate the sum of all factors of 100.
a. 217
b. 223
c. 115
d. 216
Option a – 217
How many factors does the number 105 have?
a. 8
b. 3
c. 4
d. 6
Option a – 8
Find the difference between the smallest common multiple and the greatest common divisor of 5, 10, and 35.
a. 75
b. 30
c. 35
d. 65
Option d – 65
Determine the total number of factors of 42.
a. 7
b. 8
c. 9
d. 6
Option b – 8
Calculate the sum of all positive divisors of 210.
a. 576
b. 575
c. 573
d. 366
Option a – 576
What is the difference between the least common multiples of 4, 5, 6 and 5, 6, 9?
a. 30
b. 45
c. 48
d. 60
Option a – 30
Find the sum of all positive divisors of 96.
a. 251
b. 252
c. 155
d. 156
Option b – 252
Calculate the sum of all factors of 84 that are multiples of 7.
a. 113
b. 189
c. 196
d. 112
Option c – 196
What is the product of the smallest common multiple and highest common factor of 30, 36, and 42?
a. 7460
b. 7660
c. 7650
d. 7560
Option d – 7560
If the product of the common factors of 36 and 48 equals 999 plus 9 times a certain number, what is that number?
a. 81
b. 20
c. 9
d. 27
Option a – 81
A gardener plans to plant trees in rows such that the number of trees per row divides evenly into 20, 40, or 60. What is the minimum number of trees required?
a. 120
b. 360
c. 240
d. 200
Option a – 120
Find the smallest number that leaves a remainder of 7 when divided by 12, 16, 24, and 36.
a. 151
b. 153
c. 156
d. 161
Option a – 151
Three street lamps light up every 30, 40, and 50 seconds respectively. If they last all lit together at 4:00 pm, when will they next all light simultaneously?
a. 4:10 pm
b. 4:11 pm
c. 4:12 pm
d. 4:14 pm
Option a – 4:10 pm
Compute the product of the least common multiples of 25, 40, and 60 and 12, 36, and 48.
a. 46800
b. 68400
c. 86400
d. 6848
Option c – 86400
Multiply the least common multiple of 18, 24, and 48 by their highest common factor.
a. 846
b. 864
c. 380
d. 684
Option b – 864
What is the difference between the least common multiples of 18, 20, 30 and 36, 15, 21?
a. 1500
b. 1080
c. 900
d. 1000
Option b – 1080
How many factors does the number 84 have?
a. 10
b. 18
c. 14
d. 12
Option d – 12
Calculate the sum of all divisors of 50.
a. 87
b. 93
c. 97
d. 84
Option b – 93
How many factors does the number 100 have?
a. 11
b. 13
c. 9
d. 5
Option c – 9
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