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

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 NoTopic NameS NoTopic Name
1.Natural Numbers14.Conversion of Units
2.LCM and HCF15.Roman Numerals
3.Unitary Method16.Types of Angles
5.Ratio and Proportion18.Volume of Cube and Cuboids
6.Profit and Loss19.Prime and Composite Numbers
7.Simplification20.Plane Figures
8.Average21.Decimal Numbers
9.Percentage22.Speed and Time
10.Area and Perimeter23.Operation on Numbers
11.Simple Interest24.Temperature
12.Lines and Angles25.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)

Q 280
Q 3117
Q 450
Q745 & 76
Q 1010080

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