Maths Daily Quiz LCM and HCF Paper Set15 - Maths Science Corner

# Maths Science Corner

Math and Science for all competitive exams

# Paper Set 15

On Maths science corner you can now get solution of competitive exams mathematics and reasoning questions. All questions are of quantitative aptitude. All these questions are asked in various examinations like SSC (Staff Selection Commission) CGL (Combined Graduate Level), CHSL (Combined Higher Secondary Level) Group A, Group B, GPSC (Gujarat Public Selection Committee), HMAT, HTAT, TAT, TET 1, TET 2, CRC, BRC, BRP exams.

These posts are made precisely to give you the best shortest possible solution of all the questions.

Solutions cover variety of topics which are listed below :

Mathematics
Number System
LCM and HCF
Simplification
Power, Indices and Surds
Average
Ratio and Proportion
Percentage
Profit and Loss
Discount
Simple Interest
Compound Interest
Time and Work
Pipe and Cistern
Time and Distance
Boat and Stream
Sequence and Series
Algebra
Trigonometry
Geometry
Mensuration (2 - D and 3 - D)
Statistics and Data interpretation

Reasoning
Analogy or Similarity
Blood Relationship
Symbols and Notations
Classification
Direction and Distance tests
Schedule day/date/time
Series
Coding - Decoding
Word formation
Syllogism, Statement and Conclusions
Ranking and Arrangement
Finding the missing Number
Arithmetical problems
Arrangement of words in logical order
Cubes and Dice
Logical Venn Diagram
Series
Mirror Images
Water Images
Paper cutting and folding
Completion of figures
Embedded Figure
Deviation of figure

We will try to cover above all types of questions. So, keeping in touch with us will give you chance to crack various Government and Other Exams.

Points to Remember for LCM and HCF

Important Definitions :

Highest Common Factor (H.C.F) : It is also called Greatest common Diviser (G.C.D). When a greatest number divides perfectly the two or more given numbers then that number is called the H.C.F. of two or more given numbers.
e.g. The H.C.F of 10, 20, 30 is 10 as they are perfectly divided by 10,5 and 2 and 10 is highest or greatest of them.

Least common Multiple (L.C.M.) : The least number which is divisible by two or more given numbers, that least number is called L.C.M. of the numbers. L.C.M. of 3,5,6 is 30, because all 3 numbers divide 30, 60, 90, ...... and so on perfectly and 30 is minimum of them.

Factor and Multiple : If a number m, divides perfectly second number n, then m is called the factor of n and n is called the multiple of m.

Rule 1 : 1st number × 2nd number = L.C. M. × H.C.F.
There are two methods for calculating the H.C.F and L.C.M.
(i) Factor Method
(ii) Division Method
If the ratio of two numbers is a:b, (lowest form i.e. indivisible to each other) then Numbers are ak and bk, where k is a constant and hence, H.C.F. is K and L.C.M. is abk.

Rule 2 : L.C.M of fractions = L.C.M.of numerators / H.C.F.of denominators

Rule 3 : H.C.F. of fractions = H.C.F of numerators / L.C.M.of denominators

IMPORTANT POINTS

If there is no common factor between two numbers, then L.C.M. will be the product of both numbers.
If there are ‘n’ numbers in a set and H.C.F. of any two numbers is H and L.C.M. of all ‘n’ numbers is L, then product of all ‘n’ numbers is (H)n-1 ´ L

Rule 4 : When a number is divided by a, b or c leaving same remainder ‘r’ in each case then that number must be k + r where k is LCM of a, b and c.

Rule 5 : When a number is divided by a, b or c leaving remainders p, q or r respectively such that the difference between divisor and remainder in each case is same i.e., (a – P) = (b – q) = (c – r) = t (say) then that (least) number must be in the form of (k – t), where k is LCM of a, b and c

Rule 6 : The largest number which when divide the numbers a, b and c the remainders are same then that largest number is given by H.C.F. of (a – b), (b – c) and (c – a).

Rule 7 : The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).

Rule 8 : Greatest n digit number which when divided by three numbers p,q,r leaves no remainder will be, Required Number = (n – digit greatest number) – R
Where R is the remainder obtained on dividing greatest n digit number by L.C.M of p.q,r.

Rule 9 : The n digit largest number which when divided by p, q, r leaves remainder ‘a’ will be
Required number = [n – digit largest number – R] + a
where, R is the remainder obtained when n – digit largest number is divided by the L.C.M of p, q, r.

Today we are going to give you the Paper Set of #LCM_HCF question of #Dailyquiz in #Maths asked earlier in various competitive Examinations. Yoy can follow Maths Science Corner on Facebook pageTwitter and Telegram. Enjoy the Paper Set and keep learning.

## LCM and HCF Paper Set 15

You may get Maths Daily Quiz LCM and HCF Paper Set 14 : Click Here.

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