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Maths Quiz for Class 6 HCF and LCM |
In this post, you will find 20 online maths quiz questions for class 6 HCF and LCM. Online maths quiz will take around 20 minutes or less to complete it.
Question 1: The prime factorisation of 150 is _____________.
A) 2 × 3 × 25
B) 2 × 15 × 5
C) 2 × 3 × 5 × 5
D) 6 × 5 × 5
Explanation: 2 × 3 × 5 × 5 is the correct prime factorisation of 150.
Question 2: The prime factorisation of 500 is _____________.
A) 2 × 2 × 5 × 5 × 5
B) 2 × 2 × 5 × 25
C) 2 × 10 × 5 × 5
D) 4 × 5 × 5 × 5
Explanation: The correct prime factorisation of 500 is 2 × 2 × 5 × 5 × 5.
Question 3: The common factor of 120 and 45 is _________.
A) 15
B) 45
C) 30
D) 10
Explanation: 120 = 15 × 8 and 45 = 15 × 3. Hence, 15 is the common factor of 120 and 45.
Question 4: The HCF of 50 and 20 is _________.
A) 5
B) 10
C) 15
D) 20
Explanation: 50 = 2 × 5 × 5 and 20 = 2 × 2 × 5. HCF = 2 × 5 = 10
Question 5: The HCF of 56 and 88 is ________.
A) 4
B) 8
C) 7
D) 11
Explanation: 56 = 2 × 2 × 2 × 7 and 88 = 2 × 2 × 2 × 11. HCF = 2 × 2 × 2 = 8
Question 6: What is the HCF of 95 and 57?
A) 3
B) 5
C) 19
D) 57
Explanation: 95 = 5 × 19 and 57 = 3 × 19. HCF = 19
Question 7: Find the HCF of 36 and 63.
A) 4
B) 9
C) 3
D) 7
Explanation: 36 = 2 × 2 × 3 × 3 and 63 = 3 × 3 × 7. HCF = 3 × 3 = 9
Question 8: The HCF of 18, 42 and 54 is ______.
A) 2
B) 3
C) 9
D) 6
Explanation: 18 = 2 × 3 × 3, 42 = 2 × 3 × 7 and 54 = 2 × 3 × 3 × 3. HCF = 2 × 3 = 6
Question 9: Find the LCM of 15 and 90.
A) 90
B) 15
C) 30
D) 45
Explanation: 15 = 3 × 5 and 90 = 2 × 3 × 3 × 5. LCM = 3 × 5 × 2 × 3 = 90
Question 10: The LCM of 24 and 32 is ______.
A) 32
B) 48
C) 96
D) 64
Explanation: 24 = 2 × 2 × 2 × 3 and 32 = 2 × 2 × 2 × 2 × 2. LCM = 2 × 2 × 2 × 2 × 2 × 3 = 96
Question 11: The LCM of 50 and 75 is ______.
A) 100
B) 150
C) 300
D) 75
Explanation: 50 = 2 × 5 × 5 and 75 = 3 × 5 × 5. LCM = 5 × 5 × 2 × 3 = 150
Question 12: What is the LCM of 27 and 45?
A) 90
B) 135
C) 125
D) 180
Explanation: 27 = 3 × 3 × 3 and 45 = 3 × 3 × 5. LCM = 3 × 3 × 3 × 5 = 135
Question 13: Find the LCM of 12, 24 and 36.
A) 72
B) 48
C) 96
D) 84
Explanation: 12 = 2 × 2 × 3, 24 = 2 × 2 × 2 × 3 and 36 = 2 × 2 × 3 × 3. LCM = 2 × 2 × 3 × 2 × 3 = 72
Question 14: The LCM of 25, 75 and 150 is _____.
A) 300
B) 600
C) 375
D) 150
Explanation: 25 = 5 × 5, 75 = 3 × 5 × 5 and 150 = 2 × 3 × 5 × 5. LCM = 5 × 5 × 3 × 2 = 150
Question 15: Find the greatest number which divides 275 and 325 exactly.
A) 11
B) 35
C) 25
D) 13
Explanation: We need to find the HCF of 275 and 325. 275 = 5 × 5 × 11 and 325 = 5 × 5 × 13. HCF = 5 × 5 = 25
Question 16: Find the smallest number which is exactly divisible by 40, 50 and 60.
A) 400
B) 600
C) 200
D) 300
Explanation: We need to find the LCM of 40, 50 and 60. 40 = 2 × 2 × 2 × 5, 50 = 2 × 5 × 5 and 60 = 2 × 2 × 3 × 5. LCM = 2 × 2 × 2 × 3 × 5 × 5 = 600
Question 17: If the HCF and the LCM of 60 and a number are 12 and 240 respectively, then the other number is __________.
A) 48
B) 36
C) 46
D) 42
Explanation: Product of two numbers = HCF × LCM. 60 × other number = 12 × 240. Other number = 48
Question 18: If the LCM of 12 and 28 is 84, then find their HCF.
A) 3
B) 7
C) 4
D) 12
Explanation: Product of two numbers = HCF × LCM. 12 × 28 = HCF × 84. HCF = 4
Question 19: Find the length of the longest tape that can measure the rods measuring 55 cm, 45 cm and 35 cm, exactly.
A) 10 cm
B) 5 cm
C) 15 cm
D) 25 cm
Explanation: Length of required tape = HCF of 55, 45 and 35 = 5 cm
Question 20: Two bells ring after the intervals of 8 seconds and 12 seconds. If they ring together at 9 a.m., then after how much time will they ring together again?
A) 8 seconds
B) 12 seconds
C) 24 seconds
D) 36 seconds
Explanation: Required time = LCM of 8 and 12 = 24 seconds
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