HCF & LCM

Download Q&A

HCF & LCM MCQ & Objective Questions

Understanding HCF (Highest Common Factor) and LCM (Lowest Common Multiple) is crucial for students preparing for exams. These concepts not only form the foundation of number theory but also play a significant role in various mathematical applications. Practicing HCF & LCM MCQ questions and objective questions helps students enhance their problem-solving skills and boosts their confidence, leading to better scores in exams.

What You Will Practise Here

  • Definition and significance of HCF and LCM
  • Methods to calculate HCF and LCM, including prime factorization
  • Applications of HCF and LCM in real-life scenarios
  • Common formulas related to HCF and LCM
  • Word problems involving HCF and LCM
  • Comparison of HCF and LCM with examples
  • Practice questions and previous years' exam questions

Exam Relevance

The concepts of HCF and LCM are frequently tested in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that require them to find the HCF or LCM of given numbers, apply these concepts in word problems, or even solve multiple-choice questions that assess their understanding. Familiarity with common question patterns can significantly enhance exam performance.

Common Mistakes Students Make

  • Confusing HCF with LCM and their respective definitions
  • Incorrect application of formulas while solving problems
  • Overlooking the importance of prime factorization in calculations
  • Misinterpreting word problems that involve HCF and LCM
  • Failing to check their answers, leading to careless mistakes

FAQs

Question: What is the difference between HCF and LCM?
Answer: HCF is the largest number that divides two or more numbers, while LCM is the smallest number that is a multiple of two or more numbers.

Question: How can I find HCF and LCM of two numbers quickly?
Answer: You can use the prime factorization method or the division method to find HCF and LCM efficiently.

Now is the perfect time to enhance your understanding of HCF and LCM. Dive into our practice MCQs and test your knowledge to ensure you are well-prepared for your exams. Remember, consistent practice is the key to success!

Q. A box contains 3 red balls and 5 blue balls. What is the probability of picking a red ball?
  • A. 3/8
  • B. 5/8
  • C. 1/2
  • D. 1/3
Q. A person can complete a task in 15 days. How much of the task can he complete in 5 days?
  • A. 1/3
  • B. 1/4
  • C. 1/2
  • D. 2/3
Q. A person has 3 apples and gives away 1. How many apples does he have left?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. A person has 3 red balls, 2 blue balls, and 5 green balls. What fraction of the balls are red?
  • A. 1/5
  • B. 3/10
  • C. 3/5
  • D. 1/3
Q. A sum of money is divided among A, B, and C in the ratio 2:3:5. If the total amount is $200, how much does B get?
  • A. 40
  • B. 60
  • C. 80
  • D. 100
Q. A sum of money is divided among A, B, and C in the ratio 2:3:5. If the total amount is $200, how much does B receive?
  • A. 40
  • B. 60
  • C. 80
  • D. 100
Q. Find the HCF of 60, 72, and 90.
  • A. 6
  • B. 12
  • C. 18
  • D. 30
Q. Find the LCM of 6 and 14.
  • A. 42
  • B. 28
  • C. 21
  • D. 12
Q. Find the LCM of 8 and 12.
  • A. 24
  • B. 36
  • C. 48
  • D. 60
Q. If 12 workers can complete a job in 15 days, how many days will it take for 6 workers to complete the same job?
  • A. 30 days
  • B. 45 days
  • C. 60 days
  • D. 75 days
Q. If 12 workers can complete a task in 10 days, how many days will it take for 6 workers to complete the same task?
  • A. 20 days
  • B. 30 days
  • C. 40 days
  • D. 50 days
Q. If 12 workers can complete a task in 15 days, how many days will it take for 6 workers to complete the same task?
  • A. 30 days
  • B. 45 days
  • C. 60 days
  • D. 75 days
Q. If 3a + 4 = 19, what is the value of a?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. If the cost of 5 apples is $10, what is the cost of 12 apples?
  • A. $20
  • B. $24
  • C. $30
  • D. $36
Q. If the HCF of two numbers is 15 and their product is 450, what is their LCM?
  • A. 30
  • B. 45
  • C. 60
  • D. 75
Q. If the LCM of two numbers is 72 and their HCF is 8, what is the product of the two numbers?
  • A. 576
  • B. 144
  • C. 288
  • D. 432
Q. If the LCM of two numbers is 84 and their HCF is 12, what is the product of the two numbers?
  • A. 1008
  • B. 672
  • C. 840
  • D. 504
Q. If the price of a shirt is increased by 25% and then decreased by 20%, what is the final price if the original price was $40?
  • A. $36
  • B. $38
  • C. $40
  • D. $42
Q. If two numbers are 48 and 180, what is their HCF?
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. The LCM of two numbers is 84 and their HCF is 12. What is the sum of the two numbers if they are in the ratio 2:7?
  • A. 42
  • B. 56
  • C. 70
  • D. 84
Q. What is the HCF of 45, 75, and 105?
  • A. 5
  • B. 15
  • C. 30
  • D. 45
Q. What is the LCM of 14 and 35?
  • A. 70
  • B. 140
  • C. 105
  • D. 50
Q. What is the LCM of 9, 12, and 15?
  • A. 180
  • B. 360
  • C. 540
  • D. 720
Showing 1 to 23 of 23 (1 Pages)
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely