If you’re preparing for the All India Sainik School Entrance Exam (AISSEE)then this post is for you. We’ll share some of the most important word problem questions from Chapter: HCF & LCM tailored for class 6 students for Sainik School entrance exam. You can download latest Sainik School syllabus pdf here. Following is the official list of topics asked in class 6 entrance exam every year. For latest updates on Sainik School exam process, read here.
Important Questions from Chapter LCM & HCF for Sainik School
| Q1. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number. |
| Q2. The HCF of two numbers is 16 and their LCM is 160. If one of the number is 32, then the other number is |
| Q3. Product of two co-prime numbers is 117. Then their L.C.M. is |
| Q4. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is : |
| Q5. Find the greatest number of five digits which when divided by 3, 5, 8, 12 have 2 as remainder : |
| Q6. The smallest square number divisible by 10, 16 and 24 is |
| Q7. A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively |
| Q8. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too ? |
| Q9. Find the greatest number that will divide 390, 495 and 300 without leaving a remainder. |
| Q10. The smallest five digit number which is divisible by 12,18 and 21 is : |
Answers for above HCF & LCM based Questions are:
| Q1 | 240 |
| Q 2 | 80 |
| Q 3 | 117 |
| Q 4 | 50 |
| Q5 | 99962 |
| Q6 | 3600 |
| Q7 | 45 & 76 |
| Q8 | 6 |
| Q9 | 15 |
| Q 10 | 10080 |
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