RBI GRADE B PHASE 2 MAINS STUDY MATERIAL PAPERWISE IMPORTANT TOPICS QUESTION PAPER BY DAS SIR 9038870684

FOLLOWING ARE SOME IMPORTANT TOPICS TO PREPARE FOR RBI GRADE B MAINS EXAM:

FOR RBI GRADE B PHASE 2 2017 EXAM REVISED PATTERN STUDY MATERIAL SAMPLES VISIT HERE

FOR PAPER 3 FINANCE & MANAGEMENT SAMPLES VISIT HERE


My Exclusive RBI Gr B Facebook Group Link


Join To Get Free Materials
 

1)English Essay Topics


Should the public sector be privatized?

Is Globalization Really Necessary?
Banning of Trade Unions will be Beneficial in Growth of the Economy
Private Participation in Infrastructure is Highly Desirable
Developing Countries need Trade, not Aid
Poverty in Third World Countries is due to Prosperity in First World Countries
Indian Economy: Old Wine in New Bottle!
Is Globalization Really Necessary?
Should important services like transport be left to market forces?.
Who says MNCs are superior to Indian companies?
What we need to reduce scams is better regulatory bodies.
Trade can help the poor?
Women Entrepreneurs in India
Importance of Investment
Essay on SME
Banks play a vital role in day to day life
Economic Growth Of India  ETC


2)Economic and Social Issues:


Essentials of Economic Growth,Structural Changes of Economic Development.


GDP and GDP growth ,Human development index, How to measure the economic growth of a country?,National Income and per capita income,National Income Statistics of India,Utilization of NI statistics.


Poverty Alleviation in Rural India : Programmes and Strategy,


Training of Rural Youth for Self-Employment,Employment Assurance Scheme,Strategies for Employment Generation,sustainable development,


Economic Reforms in India since 1991,Major Steps of Economic Reforms Taken by Government of India,Industrial Policy, Objectives and Industrial Climate,


Recent Developments in Labour Policy,various instruments of RBI's monetary policy,India's Money Management,Fiscal-Monetary Co-ordination in India,


Caste Factor In Politics


Objective Of Population Policy


Role Of NHRC



Health Care System  --  Institutional and Operational aspects.



Impact of status of women on Culture , Media and Technology  ETC


TO BUY ONLINE STUDY MATERIAL OF PRELIMS & MAINS 2017 EXAM VISIT HERE

CHECK SAMPLES OF MATERIAL BEFORE YOU ORDER & BE ASSURED. 


I

IMPORTANT BOOKS FOR REFERENCE:

PAPER 2 --Economic and social Issues

1. Buy Indian Economy Since Independence By Uma Kapila

2. Buy Indian Economy 31st Revised edn By Mishra Puri
 
3. Buy Indian Economy By Dutt Sundaram


4. Buy Indian Economy: Performance and Policies by Uma Kapila


5.Buy Indian Economy By Mishra Puri 

6. Buy Social Problems in India


7. Buy Sociology : Primary Principles Of Sociology


8.Buy Economic Survey 2014

9. Buy World Development Report 2015 


PAPER 3 --Finance & Management

FINANCE:


1Buy Indian Economy 31st Revised edn By Mishra Puri


2.Buy Indian Economy Performance and Policies 

3. Buy Indian Economy By Dutt Sundaram 

4. Buy Economic Growth in India : History and Prospect

5. Buy Public Finance  

6. Buy Public Finance

7. Buy Financial Management : Theory and Practice

8. Buy Fundamentals of Financial Management

9. Buy Financial Management : Text  

MANAGEMENT 

1. Buy Fundamentals of Management : Essential Concepts and Applications

2.  Buy Management Fundamentals: Concepts



I HAD COVERED ONLY 20% OF THE TOPICS HERE.


DOWNLOAD QUESTION PAPER OF RBI GRADE B PHASE 2 FROM 2002-2013 HERE





Join My Facebook Group For RBI Gr B Exams  HERE


TO BUY ONLINE STUDY MATERIAL OF PRELIMS & MAINS 2017 EXAM VISIT HERE




STUDY MATERIAL SBI SPECIAL MANAGEMENT BANKING EXECUTIVES TOPICS ON BANKING KNOWLEDGE

 STUDY MATERIAL SBI SPECIAL MANAGEMENT BANKING EXECUTIVES TOPICS ON BANKING KNOWLEDGE ARE SUBDIVIDED AS UNDER:



1)The Important Topics Under ECONOMICS Section
 
·     
·        Knowledge about RBI and its Working
·        Social Function of Banks
·        Finance
·        Monetary policy by RBI with annual policy and mid term reviews
·  International Summits
·        Economic Terminology
·        Latest Economic News 
Latest Business News ET
C



2)TOPICS TO BE COVERED IN BANKING/FINANCIAL AWARENESS :

1. Questions about RBI,its GOVERNOR ,Recent rate hikes will be asked.

2. Latest technologies used in banking( internet ,mobile & SMS banking ).

3. Names of banks chairman/MD ,important financial organizations.

4. Terms used in banking field ( like NEFT ,RTGS ,Repo rate ,NPA etc.).

5. Money instruments ( cheque ,DD,ATM etc ).

6. Recent developments in banking sector.
 
7.Budgets & Its Implications
8.Current five year plans
9.Important Banking Committess


10.IMPORTANT POINTS ON IFCI,SIDBI,IDBI,SEBI,NABARD,EXIM BANK,IMF,BIS & NATIONAL HOUSING BANK,RBI Etc
 


 
 3)OTHER IMPORTANT TOPICS ARE :

1. Population of india ( poverty line ,planning commission ,census etc ).

2. Recent news of importance ( lokpal ,RTI,Telecom policy,CAG,CWG etc.) ETC
 
THIS IS ONLY 20% OF THE TOPIC NAMES WHICH I HAD DISCUSSED HERE
 
FOR COACHING IN KOLKATA OR STUDY NOTES (ONLINE/OFFLINE) ANYWHERE IN INDIA CALL US AT 09038870684/09874581055 OR EMAIL US AT tamal253@yahoo.com  

IBPS CWE PO STUDY MATERIAL REASONING FOR STATEMENT ASSUMPTIONS

statement and assumption !!

Today We will discuss Some Tricks and rules for logical reasoning based on Statement and Assumption.rest of the topic will be discussed later. Question of this type have become regular feature of all competative exams.

First we will learn some basic Definition of utmost importance.

What is Argument ?
An argument is a sequance of two or more phrases, clauses, sentances or statements which includes a claim or conclusion. This conclusion can be arrive from more than two or two or single statement.

"
आर्गुमेन्ट यानि कि logical पोइन्ट , जो कि statement मेन उपर directly or indirctly  दिया रहेग  " 
RULES to Identifiy correct Assupmtion

Assuption is nothing but a hidden premise or conclusion based on statements
✔ Diffrencite beetwen the premises and conclusion
✔identify the Asumption made
✔Understand the logic of arguments


Some informal tips i.e Tricks✔ Arguments are fudamnets of logic
✔ You must be Aware of well established facts
✔ Read like a detective i.e read facts carefully
✔ Keep the Questons in your mind
✔ learn to identify key words i.e All , Always , May be, possibility
✔ Do not make Unwarranted Assumptions

Possibilty and May be type statement is implicit in most of the cases or in all cases excpet it is strictly barded in main sentence. ( 
मतल्ब ये है कि पोस्सिबिलइटइ और मय बे wala staement मोस्ट ओफ the time implicit hota hai.. like syllogism unless it is stricly barded in main sentaces )

Eg-
Statement -All fruits Are not Apple
conclusion - All apples are fruit is a possibilty 
(No statement is not implicit as it is direlctly barded in main 
sentence )Eg-
Statement -some fruits Are Apple
conclusion - All apples are fruit  is a possibilty 

(yes it could be a possibilty so conclusion is implicit)

You must be Aware of well established facts

What Do i ment from above statement ?

See Example BElow !


Question -  
Statement - "LG the largest Selling name with largest range , Air-coditioner"  An advertisement .
Assumptions- 1-LG air conditioner is only one with wide range.
              2-people Will respond to advertisement.

Answer -->Lg have wide range but this doent mean only lg has largest range so statement 1 is not implicit.while statement 2 is implicit beacuse its well established fact people will respond to (read) advertisements
____________________________________________________________________________________________
"
"Implicit Assumptions are those which is some how inherited in main sentences. i.e it can be inferred from Question wala sentance "
You mAy say a built in statement which may or may not appear dirctly in 
sentence." Agar hum conclusion ko relate kar paaye statement se to conclusion implicit ho jaata hai else wo implicit nhi hoga.

(
मुख्य senatnces में inherited rahe . यानी यह प्रश्न वाला sentance से अनुमान लगाया जा सकता है. 
____________________________________________________________________________________________

Example 2
 
Statement - "The girl is too clever to fail in exam" .
Assumptions- Very clever girl donot fail in exam.
(Yes !! above statement is valid and implicit ; as its fact a clever girl do not fail , here clever word indirectly means the one who study donot fail)
Example 3
Statement - "Go by Aeroplane to reach banglore from Mumbai Quickly" .
Assumptions- 1 - Mumbai and banglore are connected by aeroplane services
                       2- There is no other route from banglore to mumbai
(it is clear that assumption one is implicit in the statement and assumption two is not implicit because we know there are many routes to reach banglore from Mumbai and its fact Quickest route must be by aeroplane )

When assumptions Are invalid ??

Type 1 -- Assumption can be outrightly rejected because they may be contrary to given staetment.
Type 2 -- if conclusion gives trival meaning
Type 3 --if conclusion is drawn from very far fetched long drawn conclusion
Type 1 [ Assumption can be outrightly rejected because they may be contrary to given staetment]Example 4
Statement - "use aluminium the versatile metal for packing" .- an advertisement
Assumptions- Aluiminum is only metal for packing
(Above statement is invalid because aluminium is not only metal use for packing though it is versatile)
***IMPORTANT POINT -- Only Wala conclusion most of the times implicit nhi hota unlesss statement mein dirctly bola gya ho
Type 2 [ if conclusion gives trival meaning ]Example 5
Statement - "Smoking is injurious to health" .- a notice
Assumptions- Non smoking promotes Health.

(Above statement is invalid because statement never says what to eat, a non smoker may be a liquor addict)

Type 3 [ if conclusion is drawn from very far fetched long drawn conclusion ]
Example 6
Statement - "Religious instruction leads to a curiosity for knowledge" so all teaching should be done in religious spirit 
Assumptions- Curious person are good person
(Above statement is invalid because inference is doesnot says curious person are always become good person)


THE NAME OF SOME IMPORTANT BOOKS ARE AS FOLLOWS :




FOR COACHING IN KOLKATA OR STUDY NOTES (ONLINE/OFFLINE) ANYWHERE IN INDIA FOR BANKING/SSC ETC EXAMS CALL US AT 09038870684/09874581055 OR EMAIL US AT tamal253@yahoo.com 

IBPS CWE PO STUDY MATERIAL REASONING FOR EVALUATING GIVEN COURSE OF ACTION

evaluating given course of action

iN this type of Question ,a situation is presented & some course of action are suggested in the context of that situation the candidate is asked to determine which of them should be followed.

format of the problem

Usually the Question is Asked in following format.

A fact situation will be given followed by two suggested course of action. A course of action is a step of ADMINISTRATIVE DECISION taken for improvement or follow up Action.
you will be asked to read the situation and choose from course of action.
(A) If only I follows
(B) If only II follows
(C) If either I or II follows
(D) If both I and II follow
(E) If neither I nor II follows. 

very basic example

Q. The plague epidemic has spread to many parts of the country.
Course of Action : I. Doctors should be asked to perform their duty religiously (✘)
                     II.The goverment should take up a cleanliness drive across the country. (
)

First course of action is invalid as its the job of doctor to cure their patient regardless their race,color or religion. while second course of action is valid and appropriate in epidemic condition.
So, Answer is 
(B) If only II follows

So its must; you have to think like of head of Authority or Organisation on the behalf of which Question is asked. this type of Question have become regular part of all examinations. It determines the thinking ability of candidate.

technique to determine appropriate course of action

I. Mind the Well Established Facts ( Universal Truth )
II. Think Like An 
Administrator
III.Experience Predicts so ( based on previous situation in similar type of problem/situation)
IV.Logic predicts so (when presented problem is new,in such cases you have to use your own logic to solve issue )
V.Prevailing Notion of truth ( in some cases the presented solution would be considerd a good solution as per the prevaling notions of truth or as per society norms)

Prevailing Notion of truth 

Prevailing Notion of truth ( in some cases the presented solution would be considerd a good solution as per the prevailing notions of truth or as per society norms).
EG.
In vedic period culture of varana hierarchy,it would not be considered a good idea to give material training to Brahmin boy even if he was very agile and well built.
But today it is not so. A material training is casual for every boy either Brahmin or Kshtriya
Picture

Practice exercise high level reasoning

Question below is given a statement followed by two courses of action numbered I and II. You have to assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the suggested courses of action logically follow(s) for pursuing.
Give answer

(A) If only I follows
(B) If only II follows
(C) If either I or II follows
(D) If neither I nor II follows
(E) If both I and II follow.

Q.Statement: The employees union of the Municipal Corporation has decided to strike work for indefinite period in protest against the management's refusal to grant bonus.
Courses of Action:
I.The government should immediately pay ex-gratia grant to the Municipal Corporation to grant bonus to its employees.
II.The striking employees should be persuaded to defer the strike notice.

A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

Answer: Option B

Explanation:

Immediately conceding to the employees' demands may entice the employees into black-mailing the management frequently. A better way is to have talks with them and persuade them to end strike. So, only course II follows.
____________________________________________________________________________________________

 Q2.Statement: A large number of people in ward X of the city are diagnosed to be suffering from a fatal Malaria type.
Courses of Action:
I.The city municipal authority should take immediate steps to carry out extensive fumigation in ward X.
II.The people in the area should be advised to take steps to avoid mosquito bites.

A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

Answer: Option E

Explanation:
Clearly, prevention from mosquitoes and elimination of mosquitoes are two ways to prevent malaria. So, both the courses follow.
____________________________________________________________________________________________
2.Statement: Severe drought is reported to have set in several parts of the country.
Courses of Action:
I. Government should immediately make arrangement for providing financial assistance to those affected.
II. Food, water and fodder should immediately be sent to all these areas to save the people and cattle.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

Answer: Option B

Explanation:

In the break-out of a natural calamity, the basic duty of the government becomes to provide the basic amenities essential to save the lives of people and cattle. Providing financial assistance to all would put undue burden on the country's resources. So, only II follows.
____________________________________________________________________________________________

Q4.Statement: Since its launching in 1881, Vayudoot has so far accumulated losses amounting to Rs 153 crore.
Courses of Action:
I. Vayudoot should be directed to reduce wasteful expenditure and to increase passenger fare.
II. An amount of about Rs 300 crore should be provided to Vayudoot to make the airliner economically viable.

A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow
Answer & Explanation
Answer: Option A

Explanation:
Clearly, for better economic gain, losses should be reduced and income increased. So, only course I follows.
____________________________________________________________________________________________

Q5.Statement: Exporters in the capital are alleging that commercial banks are violating a Reserve Bank of India directive to operate a post shipment export credit denominated in foreign currency at international rates from January this year.
Courses of Action:
The officers concerned in the commercial banks are to be suspended.
The RBI should be asked to stop giving such directives to commercial banks.

A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

Answer: Option D

Explanation:

The statement mentions that the commercial banks violate a directive issued by the RBI. The remedy is only to make the banks implement the Act. So, none of the courses follows.


____________________________________________________________________________________________

Q6.Statement: A large number of people die every year due to drinking polluted water during the summer.

Courses of Action:

I.The government should make adequate arrangements to provide safe drinking water to all its citizens.
II.The people should be educated about the dangers of drinking polluted water.
A. Only I follows
B. Only II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

Answer: Option E

Explanation:
The situation demands creating awareness among people about the dangers of drinking polluted water so that they themselves refrain from the same, and at the same time taking steps to provide safe drinking water. So, both the courses follow.






FOR COACHING IN KOLKATA OR STUDY NOTES (ONLINE/OFFLINE) ANYWHERE IN INDIA FOR BANKING/SSC ETC EXAMS CALL US AT 09038870684/09874581055 OR EMAIL US AT tamal253@yahoo.com 

IBPS CWE PO STUDY MATERIAL QUANTITATIVE APTITUDE NUMBER SYSTEM

IMPORTANT FACTS AND FORMULAE
1.Natural Numbers : Counting numbers 1, 2, 3, 4, 5,..... are called natural numbers.

 2.Whole Numbers : All counting numbers together with zero form the set of wholenumbersThus,
             (i) 0 is the only whole number which is not a natural number. 
            (ii) Every natural number is a whole number.

3.Even Numbers : A number divisible by 2 is called an even number, e.g., 2, 4, 6, 8, 10, etc.

4.  Odd Numbers : A number not divisible by 2 is called an odd number. e.g., 1, 3, 5, 7, 9, 11, etc.

5.  Prime Numbers : A number greater than 1 is called a prime number, if it has exactly two factors, namely 1 and the number itself.
Prime numbers upto 100 are : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,47,  53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

7.Composite Numbers : Numbers greater than 1 which are not prime, are known as composite numbers, e.g., 4, 6, 8, 9, 10, 12.

8.  Co-primes : Two numbers a and b are said to be co-primes, if their H.C.F. is 1. e.g., (2, 3), (4, 5), (7, 9), (8, 11), etc. are co-primes.

Test of divisibility

1.  Divisibility By 2 : A number is divisible by 2, if its unit's digit is any of 0, 2, 4, 6, 8.
Ex. 84932 is divisible by 2, while 65935 is not.

2.  Divisibility By 3 : A number is divisible by 3, if the sum of its digits is divisible by 3.
Ex.592482 is divisible by 3, since sum of its digits = (5 + 9 + 2 + 4 + 8 + 2) = 30, which is divisible by 3.
But, 864329 is not divisible by 3, since sum of its digits =(8 + 6 + 4 + 3 + 2 + 9) = 32, which is not divisible by 3.

3.  Divisibility By 4 : A number is divisible by 4, if the number formed by the last two digits is divisible by 4.
Ex. 892648 is divisible by 4, since the number formed by the last two digits is 48,  which is divisible by 4.
But, 749282 is not divisible by 4, since the number formed by the last tv/o digits is 82, which is not divisible by 4.

4.  Divisibility By 5 : A number is divisible by 5, if its unit's digit is either 0 or 5. Thus, 20820 and 50345 are divisible by 5, while 30934 and 40946 are not.

5.  Divisibility By 6 : A number is divisible by 6, if it is divisible by both 2 and 3. Ex. The number 35256 is clearly divisible by 2.
Sum of its digits = (3 + 5 + 2 + 5 + 6) = 21, which is divisible by 3. Thus, 35256 is divisible by 2 as well as 3. Hence, 35256 is divisible by 6.

6.   Divisibility By 8 : A number is divisible by 8, if the number formed by the last three digits of the given number is divisible by 8.
Ex. 953360 is divisible by 8, since the number formed by last three digits is 360, which is divisible by 8.

But, 529418 is not divisible by 8, since the number formed by last three digits is 418, which is not divisible by 8.

7.   Divisibility By 9 : A number is divisible by 9, if the sum of its digits is divisible by 9.
Ex. 60732 is divisible by 9, since sum of digits * (6 + 0 + 7 + 3 + 2) = 18, which is divisible by 9.
But, 68956 is not divisible by 9, since sum of digits = (6 + 8 + 9 + 5 + 6) = 34, which is not divisible by 9.

8.   Divisibility By 10 : A number is divisible by 10, if it ends with 0.
Ex. 96410, 10480 are divisible by 10, while 96375 is not.

9.   Divisibility By 11 : A number is divisible by 11, if the difference of the sum of its digits at odd places and the sum of its digits at even places, is either 0 or a number divisible by 11.Ex. The number 4832718 is divisible by 11, since :(sum of digits at odd places) - (sum of digits at even places)
(8 + 7 + 3 + 4) - (1 + 2 + 8) = 11, which is divisible by 11.

10.  Divisibility By 12 ; A number is divisible by 12, if it is divisible by both 4 and3.
Ex. Consider the number 34632.
(i) The number formed by last two digits is 32, which is divisible by 4, 
(ii) Sum of digits = (3 + 4 + 6 + 3 + 2) = 18, which is divisible by 3. Thus, 34632 is divisible by 4 as well as 3. Hence, 34632 is divisible by 12.

11.   Divisibility By 14 : A number is divisible by 14, if it is divisible by 2 as well as 7.

12.  Divisibility By 15 : A number is divisible by 15, if it is divisible by both 3 and 5.

13.  Divisibility By 16 : A number is divisible by 16, if the number formed by the last4  digits is divisible by 16.
Ex.7957536 is divisible by 16, since the number formed by the last four digits is 7536, which is divisible by 16.

14.  Divisibility By 24 : A given number is divisible by 24, if it is divisible by both3  and 8.

15.  Divisibility By 40 : A given number is divisible by 40, if it is divisible by both 5  and 8.

Progression 

Arithmetic Progression (A.P.) If each term of a progression differs from its preceding term by a constant, then such a progression is called an arithmetical progression. This constant difference is called the common difference of the A.P.

An A.P. with first term a and common difference d is given by a, (a + d), (a + 2d),(a + 3d),.....

The nth term of this A.P. is given by Tn =a (n - 1) d.

The sum of n terms of this A.P.
Sn = n/2 [2a + (n - 1) d] = n/2   (first term + last term).



Geometrical Progression (G.P.) : A progression of numbers in which every term bears a constant ratio with its preceding term, is called a geometrical progression.The constant ratio is called the common ratio of the G.P. A G.P. with first term a and common ratio r is :
a, ar, ar2,

In this G.P. Tn = ar^n-1
sum of the n terms, Sn=   a(1-r^n)/ (1-r)






FOR COACHING IN KOLKATA OR STUDY NOTES (ONLINE/OFFLINE) ANYWHERE IN INDIA FOR BANKING/SSC ETC EXAMS CALL US AT 09038870684/09874581055 OR EMAIL US AT tamal253@yahoo.com 

IBPS CWE PO STUDY MATERIAL QUANTITATIVE APTITUDE ON HCF LCM

IMPORTANT FACTS AND FORMULAE

I.  Factors and Multiples : If a number a divides another number b exactly, we say that a is a factor of b. In this case, b is called a multiple of a.

 II. Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.):The H.C.F. of two or more than two numbers is the greatest number that divides each of them exactly. 

   There are two methods of finding the H.C.F. of a given set of numbers :

 1.  Factorization Method : Express each one of the given numbers as the product of prime factors.The product of least powers of common prime factors gives H.C.F.

 2.  Division Method: Suppose we have to find the H.C.F. of two given numbers. Divide the larger   number by the smaller one. Now, divide the divisor by the remainder. Repeat the process of dividing the preceding number by the remainder last obtained till zero is obtained as remainder. The last divisor is the required H.C.F.  

 Finding the H.C.F. of more than two numbers : Suppose we have to find the H.C.F. of three numbers. Then, H.C.F. of [(H.C.F. of any two) and (the third number)] gives the H.C.F. of three given numbers.

Similarly, the H.C.F. of more than three numbers may be obtained. 

 III.  Least Common Multiple (L.C.M.) : The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

 1.  Factorization Method of Finding L.C.M.: Resolve each one of the given numbers into a product of prime factors. Then, L.C.M. is the product of highest powers of all the factors,

 2.  Common Division Method {Short-cut Method) of Finding L.C.M.: Arrange the given numbers in a row in any order. Divide by a number which divides exactly at least two of the given numbers and carry forward the numbers which are not divisible. Repeat the above process till no two of the numbers are divisible by the same number except 1. The product of the divisors and the undivided numbers is the required L.C.M. of the given numbers,

 IV. Product of two numbers =Product of their H.C.F. and L.C.M. 

 V. Co-primes: Two numbers are said to be co-primes if their H.C.F. is 1. 

 VI. H.C.F. and L.C.M. of Fractions:

1.H C F  = H.C.F. of Numerators
                 L.C.M. of Denominators   
2.L C M =      L.C.M  of Numerators
                    H.C.F. of Denominators
 VII. H.C.F. and L.C.M. of Decimal Fractions: In given numbers, make the same number of decimal places by annexing zeros in some numbers, if necessary. Considering these numbers without decimal point, find H.C.F. or L.C.M. as the case may be. Now, in the result, mark off as many decimal places as are there in each of the given numbers.

 VIII. Comparison of Fractions: Find the L.C.M. of the denominators of the given fractions. Convert each of the fractions into an equivalent fraction with L.C.M. as the denominator, by multiplying both the numerator and denominator by the same number. The resultant fraction with the greatest numerator is the greatest.





FOR COACHING IN KOLKATA OR STUDY NOTES (ONLINE/OFFLINE) ANYWHERE IN INDIA FOR BANKING/SSC ETC EXAMS CALL US AT 09038870684/09874581055 OR EMAIL US AT tamal253@yahoo.com