Maths Problems on L.C.M and H.C.F Test 9

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Maths Problems on L.C.M and H.C.F Test 9: Strengthen Your Problem-Solving Skills

Lowest Common Multiple (L.C.M) and Highest Common Factor (H.C.F) are one of the most important concepts, widely used in mathematics, problem-solving skills, number theory, and algebra. At Nokryan.com The Maths Problems on L.C.M and H.C.F Test 9 are created to understand those concepts through meaningful questions and elaborate answers.

Key Concepts Covered

This test focuses on critical areas, including:

Understanding L.C.M (Lowest Common Multiple) – Study how to calculate the least multiple common to two or more numbers and use it to read its applications in solving word problems.
Mastering H.C.F (Highest Common Factor) – Learn how to find the greatest factor shared by numbers, aiding in simplifications and mathematical operations.
Prime Factorization Method – Know how to divide the numbers into the prime factors and get L.C.M & H.C.F immediately and efficiently.
Relation Between L.C.M and H.C.F –Learn the basic formula L.C.M × H.C.F = Product of the Numbers and its practical applications.
L.C.M and H.C.F in Fractions – Know how to find L.C.M and H.C.F of fractions to solve complications of mathematical expressions.
Word Problems and Applications – Solve real-world problems involving time cycles, work efficiency, and rationalizing calculations using L.C.M and H.C.F.

Why Take Maths Problems on L.C.M and H.C.F Test 9?

Conceptual Clarity – Step-by-step explanations for finding L.C.M and H.C.F using different methods.
Time-Saving Techniques – Learn shortcut methods to quickly determine common multiples and factors.
Practice Exercises – Strengthen your problem-solving skills with interactive quizzes and multiple difficulty levels.
Real-Life Applications – Understand how these concepts are applied in work scheduling, gear rotations, and fraction simplifications.
Competitive Exam Preparation – Essential for students appearing in exams where number system questions are common.

Who Should Take This Test?

Competitive Exam Candidates – Useful for students preparing for entrance exams and aptitude tests.
Mathematics Enthusiasts – Ideal for those looking to sharpen their number theory skills.
Students in High School and College – Beneficial for learners studying fundamental math concepts.
Educators and Tutors – Helpful for teachers who want to enhance their instructional material on L.C.M and H.C.F.

Get Started Today!

At Nokryan.com, we offer Maths Problems on L.C.M and H.C.F Test 9 to provide a structured and engaging way to master these essential concepts. Whether you’re revising for an exam or simply improving your mathematical foundation, our resources ensure an efficient learning experience.

Take the test now and build confidence in solving L.C.M and H.C.F problems with Nokryan.com!

Maths Problems on L.C.M and H.C.F Test.9

Quiz Instructions:

There will be 20 multiple choice question in this online test.
Answer of the questions will change randomly each time you start this test.
Practice this test at least 3 times if you want to secure High Marks.
At the End of the Test you can see your Test score and Rating.

1 / 20

Find the least square number which is divisible by 10, 12, 15 and 18?

A. 1600

B. 900

C. 3600

2 / 20

Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?

A. 11 hours

B. 12 hours

C. 220 hours

3 / 20

Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively? A. 143 B. 169 C. 260 D. 221

A. 143

B. 169

C. 260

4 / 20

Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?

A. 5073

B. 5016

C. 5054

D. 5035

5 / 20

Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?

A. 210

B. 119

C. 126

6 / 20

A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?

A. 7203

B. 2403

C. 3603

7 / 20

Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?

A. 9654

B. 9666

C. 9664

8 / 20

Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?

A. 420

B. 515

C. 435

9 / 20

What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?

A. 78

B. 68

C. 58

10 / 20

Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?

A. 101

B. 103

C. 107

D. 113

11 / 20

The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?

A. 1 min

B. 2 min

C. 3 min

12 / 20

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?

A. 5

B. 7

C. 11

D. 13

13 / 20

There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?

A. 17

B. 29

C. 23

14 / 20

How many minimum number’s of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?

A. 216

B. 192

C. 108

15 / 20

A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?

A. 485

B. 431

C. 391

16 / 20

Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?

A. 56

B. 42

C. 38

D. 34

17 / 20

A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

A. 50

B. 36

C. 24

D. 12

18 / 20

A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.

A. 51

B. 61

C. 47

19 / 20

Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?

A. 53

B. 112

C. 108

D. 106

20 / 20

Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?

A. 12

B. 18

C. 24

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Maths Problems on L.C.M and H.C.F Test 9