Exam-Focused MCQs on HCF and LCM
Exam-Focused MCQs on HCF and LCM
Class: 6
Subject: Mathematics
Chapter 3: Number Play
Topic: HCF and LCM
Board: CBSE (Based on Latest NCERT Curriculum)
These Multiple Choice Questions (MCQs) are strictly designed as per the CBSE curriculum based on NCERT textbooks. Ideal for CBSE Class 6 Mathematics examinations.
Subject: Mathematics
Chapter 3: Number Play
Topic: HCF and LCM
Board: CBSE (Based on Latest NCERT Curriculum)
These Multiple Choice Questions (MCQs) are strictly designed as per the CBSE curriculum based on NCERT textbooks. Ideal for CBSE Class 6 Mathematics examinations.
Q1. The HCF of 12 and 18 is:
Correct Answer: C. 6
Factors of 12 = 1,2,3,4,6,12
Factors of 18 = 1,2,3,6,9,18
Common factors = 1,2,3,6
Highest Common Factor = 6
Factors of 12 = 1,2,3,4,6,12
Factors of 18 = 1,2,3,6,9,18
Common factors = 1,2,3,6
Highest Common Factor = 6
Q2. The LCM of 4 and 6 is:
Correct Answer: A. 12
Multiples of 4: 4,8,12,16…
Multiples of 6: 6,12,18…
Lowest common multiple = 12
Multiples of 4: 4,8,12,16…
Multiples of 6: 6,12,18…
Lowest common multiple = 12
Q3. HCF of 20 and 25 is:
Correct Answer: B. 5
20 = 2 × 2 × 5
25 = 5 × 5
Common prime factor = 5
HCF = 5
20 = 2 × 2 × 5
25 = 5 × 5
Common prime factor = 5
HCF = 5
Q4. LCM of 5 and 7 is:
Correct Answer: B. 35
Both are prime numbers.
LCM = 5 × 7 = 35
Both are prime numbers.
LCM = 5 × 7 = 35
Q5. If HCF of two numbers is 1, they are called:
Correct Answer: C. Co-prime numbers
Numbers having only 1 as common factor are called co-prime numbers.
Numbers having only 1 as common factor are called co-prime numbers.
Q6. The LCM of 8 and 12 is:
Correct Answer: A. 24
8 = 2×2×2
12 = 2×2×3
LCM = 2×2×2×3 = 24
8 = 2×2×2
12 = 2×2×3
LCM = 2×2×2×3 = 24
Q7. HCF of 16 and 24 is:
Correct Answer: C. 8
16 = 2×2×2×2
24 = 2×2×2×3
Common factors = 2×2×2 = 8
16 = 2×2×2×2
24 = 2×2×2×3
Common factors = 2×2×2 = 8
Q8. The LCM of 9 and 6 is:
Correct Answer: A. 18
9 = 3×3
6 = 2×3
LCM = 2×3×3 = 18
9 = 3×3
6 = 2×3
LCM = 2×3×3 = 18
Q9. HCF of 15 and 30 is:
Correct Answer: B
Common highest factor of 15 & 30 is 15.
Common highest factor of 15 & 30 is 15.
Q10. LCM of 3, 4 and 5 is:
Correct Answer: A
LCM = 3×4×5 = 60.
LCM = 3×4×5 = 60.
Q11. HCF of 27 and 36 is:
Correct Answer: B
27=3×3×3, 36=2×2×3×3 → HCF=3×3=9.
27=3×3×3, 36=2×2×3×3 → HCF=3×3=9.
Q12. LCM of 10 and 15 is:
Correct Answer: A
10=2×5, 15=3×5 → LCM=2×3×5=30.
10=2×5, 15=3×5 → LCM=2×3×5=30.
Q13. HCF of 18 and 24 is:
Correct Answer: A
Common prime factors → 2×3=6.
Common prime factors → 2×3=6.
Q14. LCM of 7 and 14 is:
Correct Answer: C
14 is multiple of both → LCM=14.
14 is multiple of both → LCM=14.
Q15. HCF of 11 and 13 is:
Correct Answer: A
Both primes → no common factor except 1.
Both primes → no common factor except 1.
Q16. LCM of 2, 3 and 4 is:
Correct Answer: A
Prime factors → 2×2×3=12.
Prime factors → 2×2×3=12.
Q17. If one number divides the other, their HCF is:
Correct Answer: A
The smaller number divides completely → HCF = smaller number.
The smaller number divides completely → HCF = smaller number.
Q18. If two numbers are co-prime, their LCM is:
Correct Answer: B
For co-prime numbers, LCM = product of numbers.
For co-prime numbers, LCM = product of numbers.
Q19. HCF of 45 and 60 is:
Correct Answer: C
45=3×3×5, 60=2×2×3×5 → HCF=3×5=15.
45=3×3×5, 60=2×2×3×5 → HCF=3×5=15.
Q20. LCM of 12 and 15 is:
Correct Answer: B
12=2×2×3, 15=3×5 → LCM=2×2×3×5=60.
12=2×2×3, 15=3×5 → LCM=2×2×3×5=60.
