Are you preparing for All India Sainik School entrance exam? If yes, then in this post, we will provide you some of the most important word problem based questions from Chapter: HCF & LCM for class 6 Sainik School entrance exam (AISSEE). Download latest syllabus pdf here.
Sainik School Class 6 Maths Syllabus
All India Sainik School entrance exam is a Qualifying exam for admission in Old & New Sainik Schools. It is conducted every year in January by National Testing Agency (NTA). Following is the list of chapters or topics from which questions are asked in AISSEE every year.
| S No | Topic Name | S No | Topic Name |
| 1. | Natural Numbers | 14. | Conversion of Units |
| 2. | LCM and HCF | 15. | Roman Numerals |
| 3. | Unitary Method | 16. | Types of Angles |
| 4. | Fractions | 17. | Circle |
| 5. | Ratio and Proportion | 18. | Volume of Cube and Cuboids |
| 6. | Profit and Loss | 19. | Prime and Composite Numbers |
| 7. | Simplification | 20. | Plane Figures |
| 8. | Average | 21. | Decimal Numbers |
| 9. | Percentage | 22. | Speed and Time |
| 10. | Area and Perimeter | 23. | Operation on Numbers |
| 11. | Simple Interest | 24. | Temperature |
| 12. | Lines and Angles | 25. | Arranging of Fractions |
| 13. | Complementary and Supplementary Angles |
In this post, we are providing you with Sainik School study material for class 6 Maths for chapter: LCM & HCF.
Important Questions from HCF & LCM for Sainik School Class 6
| 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 word problems are: ( HCF & LCM for Sainik School)
| 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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