Top HCF & LCM Questions Class 6 – Sainik School Exam

Candidates aspiring for Sainik School entrance exam are always looking for Quality study material. In this post, we will provide you with Top HCF & LCM Questions for Class 6 for Sainik School Exam. You can download previous year Sainik School exam papers here.

Sainik School Class 6 Maths Latest Syllabus

Before you start preparing for Sainik School exam, you need to develop a good understanding of its syllabus. Following table contains detailed Sainik School class 6 maths syllabus as provided by National Testing agency.

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

Top HCF & LCM Questions for Class 6 in Sainik School Exam

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 based problems 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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