Showing posts with label study notes. Show all posts
Showing posts with label study notes. Show all posts

REASONING LOGICAL PUZZLE STUDY NOTES FOR BANK EXAM -Logical Puzzles with Solutions

Logical Puzzles with Solutions
FOR BANK EXAM

SBI, IBPS & RRB
COMPARISON TYPE LOGIC PUZZLES
REASONING LOGIC PUZZLE STUDY NOTES FOR BANK EXAM
In bank exam (SBI, IBPS, and RRB) & SSC Reasoning is one of the most important sections. A good score in reasoning test can lead you at higher marks in banking exam. So as continuously we are providing reasoning study notes on different topics.  In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. In reasoning some questions are very easy which needs only few seconds to solve them. But some of the questions are very tricky and lengthy for example LOGIC PUZZLES questions but as well as it is very important topic. Usually 14 – 15 questions can be given from this topic in bank exam or other competitive exams as well. It can be easy topic if you have right tricks to find out logic by which the puzzle will be solved. Here we are providing important tips and example which are asked in SBI, IBPS bank exams.  

QUANTITATIVE APTITUDE AGE PROBLEMS

AGE PROBLEMS WITH SOLUTIONS QUANTITATIVE APTITUDE STUDY NOTES FOR BANK AND SSC EXAM

You know that quantitative aptitude section is most important in bank exams in PO and Clerk and for other competitive exams because if you want good score in bank exam then you have to score good in maths. In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. That’s where maths shortcut tricks and formula are comes into action. So continuously we are providing shortcut tricks on different maths topics.
AGE PROBLEMS
Today’s topic is AGE PROBLEMS. This is the one of the most important topic in quantitative aptitude section in bank and ssc exam. You should know how to calculate Age problems questions and answers in very short time for bank exam. From this chapter around 1-2 questions are given in the SBI and IBPS exams. For this here we are providing maths shortcut tricks and quicker method to calculate quantitative apptitude questions in very short time.

PIPES AND CISTERNS

Quantitative Aptitude Study Notes for Bank & SSC Exam
PIPES AND CISTERNS
You know that quantitative aptitude section is most important in bank exams in PO and Clerk and for other competitive exams because if you want good score in bank exam then you have to score good in maths. In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. That’s where maths shortcut tricks and formula are comes into action. So continuously we are providing shortcut tricks on different maths topics.
PIPES AND CISTERNS
 Today’s topic is PIPES AND CISTERNS. This is the one of the most important topic in quantitative aptitude section in bank and ssc exam. You should know how to calculate pipe and cisterns questions and answers in very short time for bank exam. From this chapter around 1-2 questions are given in the SBI and IBPS exams. For this here we are providing shortcut tricks and quicker method to calculate pipe and cisterns in very short time.

NATIONAL AWARDS IN INDIA

GENERAL AWARENESS

STATIC GK FOR SSC CGL

NATIONAL AWARDS IN INDIA
NATIONAL AWARDS IN INDIA
General Awareness is a source for good preparation of Bank, SSC CGL, UPSC, and railway and for other competitive exams. Study General Awareness from www.GovtJobsPortal.in and stay updated as well as prepare for General Awareness section which is asked in SSC CGL, UPSC and other competitive exams. Here we are providing static GK for SSC CGL exam. Today’s topic on static GK is NATIONAL AWARDS in india. In India National awards are various types: Civilian Awards, Sports Awards, Science Awards, Gallantry Awards, Film and Music Awards. but today we are going to discuss about Civilian awards of India. It will be helpful for General Awareness section in SSC CGL exam.

LOGIC PUZZLES / Puzzles for Bank Exams (Puzzles Questions)

REASONING NOTES FOR BANK EXAM

SBI, IBPS & RRB

LOGIC PUZZLES for Bank Exams

LOGIC PUZZLES
In bank exam (SBI, IBPS, and RRB) & SSC Reasoning is one of the most important sections. A good score on the Reasoning test can lead you at higher marks in banking exam. So as continuously we are providing reasoning study notes on different topics.  In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. In reasoning some questions are very easy which needs only few seconds to solve them. But some of the questions are very tricky and lengthy for example LOGIC PUZZLES questions but as well as it is very important topic. Usually 14 – 15 questions can be given from this topic in bank exam or other competitive exams as well. It can be easy topic if you have right tricks to find out logic by which the puzzle will be solved. Here we are providing important reasoning tips and example which are asked in SBI, IBPS bank exams.  

Logical Reasoning Based on Puzzles- Reasoning Study Notes for Bank Exam

REASONING NOTES FOR BANK EXAM

SBI, IBPS & RRB

Logical Reasoning Based on Puzzles
PUZZLE 1
In bank exam (SBI, IBPS, and RRB) & SSC Reasoning is one of the most important sections. A good score in reasoning test can lead you at higher marks in banking exam. So as continuously we are providing reasoning study notes on different topics.  In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. In reasoning some questions are very easy which needs only few seconds to solve them. But some of the questions are very tricky and lengthy for example LOGIC PUZZLES questions but as well as it is very important topic. Usually 14 – 15 questions can be given from this topic in bank exam or other competitive exams as well. It can be easy topic if you have right tricks to find out logic by which the puzzle will be solved. Here we are providing important tips and example which are asked in SBI, IBPS bank exams.  

INDIAN CONSTITUTION SCHEDULES

GENERAL AWARENESS

STATIC GK FOR SSC CGL

INDIAN CONSTITUTION SCHEDULES
INDIAN CONSTITUTION SCHEDULES
General Awareness is a source for good preparation of Bank, SSC CGL, UPSC, and railway and for other competitive exams. Study General Awareness from www.GovtJobsPortal.in and stay updated as well as prepare for General Awareness section which is asked in SSC CGL, UPSC and other competitive exams. As continuously we are providing static GK study notes for SSC CGL on various topics. Today we are providing study notes on ‘INDIAN CONSTITUTION SCHEDULES’ in the Indian polity. Indian polity is one of the most important topics for general awareness section in the competitive exam. From this topic maximum 10-12 questions are given in the SSC CGL exam. So it is very important to focus on Indian polity as exam point of view.
In our recent topics we have covered the Indian constitution preamble, borrowed features, parts and its Articles. So as continuing INDIAN CONSTITUTION, today we are providing the Schedules of the Indian Constitution. Indian constitution is world’s lengthiest constitution have 448 articles in 25 parts, 12 schedules, 5 appendices and 98 amendments. But at the time of commencement there were only 395 articles in 22 parts and 8 schedules.

TIME DISTANCE AND TRAINS

Quantitative Aptitude Study Notes

BANK AND SSC EXAM

TIME DISTANCE AND TRAINS
You know that quantitative aptitude section is most important in bank exams in PO and Clerk and for other competitive exams because if you want good score in bank exam then you have to score good in maths. In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. That’s where maths shortcut tricks and formula are comes into action. So continuously we are providing shortcut tricks on different maths topics.
TIME DISTANCE AND TRAINS
Today’s topic is TIME DISTANCE AND TRAINS, it is similar to time and distance topic which we have covered in our recent topic. This is the one of the most important topic in quantitative aptitude section in bank and ssc exam. You should know how to calculate trains questions and answers in very short time for bank exam. From this chapter around 1-2 questions are given in the SBI and IBPS exams. For this here we are providing shortcut tricks and quicker method to calculate TIME DISTANCE AND TRAINS in very short time.

PARTS OF THE CONSTITUTION

GENERAL AWARENESS

STATIC GK FOR SSC CGL

INDIAN POLITY
PARTS OF THE CONSTITUTION
General Awareness is a source for good preparation of Bank, SSC CGL, UPSC, and railway and for other competitive exams. Study General Awareness from www.GovtJobsPortal.in and stay updated as well as prepare for General Awareness section which is asked in SSC CGL, UPSC and other competitive exams. As continuously we are providing static GK study notes for SSC CGL on various topics. Today we are providing study notes on ‘INDIAN POLITY’. Indian polity is one of the most important topics for general awareness section in the competitive exam. From this topic maximum 10-12 questions are given in the SSC CGL exam.
In our recent topic we have covered the Indian constitution preamble and borrowed features. So as continuing INDIAN CONSTITUTION, today we are providing the Parts of the Constitution and its Articles as well. In the constitution at present there are 448 articles in 25 parts, 12 schedules, 5 appendices and 98 amendments. But at the time of commencement there was only 395 articles in 22 parts and 8 schedules.
PARTS OF THE CONSTITUTION
PART – I (Article 1 – 4)
Deals with territory of India formation of new States, alterations, names of existing states.
PART – II (Article 5 – 11)
Deals with various rights of citizenship.
PART – III (Article 12 – 35)
Deals with fundamental rights of Indian citizens.
(Article 31 – dealing with the right to property was deleted by 44th amendment).
PART – IV (Article 36 – 51)
Deals with Directive Principles of State Policy.
PART – IV – A (Article 51A)
Added by 42nd amendment in 1976. Contains the duties of the citizens.
PART – V (Article 52 – 151)
Deals with govt. at the Union Level.
(Duties and function of PM, Ministers, President, Attorney General, Parliament – Lok Sabha and Rajya Sabha, Comptroller and Auditor General).

PART – VI (Article 152 – 237)
Deals with govt. at State Level.
(article – 152 exempts J & K from the category of ordinary states).
(duties & functions of Chief Minister & his ministers, Governor, State legislature, High Court, Advocate General of the state).
PART – VII (Article 238)
Deals with  States, was replaced in 1956 by the 7th amendment.
PART – VIII (Article 239 – 241)
Deals with Union Territories.
PART – IX
Consists of 2 parts:
Added by 73rd amendment in 1992. Contains a new schedule ‘SCHEDULE ELEVEN’. It conatains 29 subjects to Panchayati Raj. (They have been administrative powers).
Added by 74th amendment in 1992. Contains a new schedule ‘SCHEDULE TWELVE’. It contains 18 subjects related to Municipalities. (They have been given administrative powers).
PART – X (Article 244, 244A)
Deals with Scheduled & Tribal Areas.
PART – XI (Article 245 – 263)
Deals with relation between Union and States.
PART – XII (Article 264 – 300A)
Deals with distribution of revenue between Union and States, appointment of Finance Commission (Article 280), contracts, liabilities etc.
PART – XIII (Article 301 – 307)
Relates to trade, commerce and intercourse within the Territory of India.
PART – XIV (Article 308 – 323)
Deals with UPSC and Public Service Commissions.
PART – XIV – A (Article 323A, 323B)
Added by 42nd amendment in 1976. Deals with administrative tribunals set by Parliament to hear disputes and complaints regarding Union, States or Local govt. employees.
PART – XV (Article 324 – 329)
Deals with elections (Also Election Commission).
PART – XVI (Article 330 – 342)
Deals with special provisions for Scheduled Castes and Scheduled Tribes and Anglo – Indian Representation.
PART – XVII (Article 343 – 351)
Relates to official language.
PART – XVIII (Article 352 – 360)
Deals with emergency pro-visions.
PART – XIX (Article 361 – 367)
Exemption of criminal proceedings for their official acts of President and Governors.
PART – XX (Article 368)
Deals with Amendment of Constitution.
PART – XXI (Article 369 – 392)
Article - 369 gives temporary powers to the Parliament to make laws for State list.
Article – 370 contains temporary provisions of J & k – Restricts the parliament to make laws for that state.
Article – 371A, 371B, 371C, 371D, 371E, 371F, 371G, 371H & 371-I relates to special provisions for Maharashtra, Nagaland, Assam, Manipur, Andhra, Sikkim, Mizoram, Arunachal & Goa.
PART – XXII (Article 393 – 395)
Concerns the short title, commencement and repeal of the Constitution.

To view Static GK study notes on other topics CLICK HERE



TIME AND DISTANCE

Quantitative Aptitude Study Notes 
 Bank & SSC Exam

TIME AND DISTANCE
You know that quantitative aptitude section is most important in bank exams in PO and Clerk and for other competitive exams because if you want good score in bank exam then you have to score good in maths. In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. That’s where maths shortcut tricks and formula are comes into action. So continuously we are providing shortcut tricks on different maths topics.
TIME AND DISTANCE
 Today’s topic is TIME AND DISTANCE. This is the one of the most important topic in quantitative aptitude section in bank and ssc exam. You should know how to calculate time and distance questions and answers in very short time for bank exam. From this chapter around 1-2 questions are given in the SBI and IBPS exams. For this here we are providing shortcut tricks and quicker method to calculate time and distance in very short time.
If we want to solve time and distance questions or any other type of questions, then the first thing that we need that is Formulas about that topic. So here is the list of formulas that is used in time and distance quantitative topic.

INDIAN POLITY

GENERAL AWARENESS

STATIC GK FOR SSC CGL

INDIAN POLITY
INDIAN POLITY
General Awareness is a source for good preparation of Bank, SSC CGL, UPSC, and railway and for other competitive exams. Study General Awareness from www.GovtJobsPortal.in and stay updated as well as prepare for General Awareness section which is asked in SSC CGL, UPSC and other competitive exams. As continuously we are providing static GK study notes for SSC CGL on various topics. Today we are providing study notes on ‘INDIAN POLITY’. Indian polity is one of the most important topics for general awareness section in the competitive exam. From this topic maximum 10-12 questions are given in the SSC CGL exam.
On this page in first we introduce the preamble to the Indian constitution after that we also provided the main features of the INDIAN CONSTITUTION which are borrowed from the constitution of other countries.

UNITED NATIONS ORGANSATION

GENERAL AWARENESS

STATIC GK FOR SSC CGL

UNITED NATIONS ORGANSATION
UNITED NATIONS ORGANSATION
General Awareness is a source for good preparation of Bank, SSC CGL, UPSC, and railway and for other competitive exams. Study General Awareness from www.GovtJobsPortal.in and stay updated as well as prepare for General Awareness section which is asked in SSC CGL, UPSC and other competitive exams. Here we are providing static GK for SSC CGL exam. Today’s topic on static GK is UNITED NATIONS ORGANSATION (UNO). In this topic we are providing information about history of UNO, its Organs and list of its former Secretary Generals and present Secretary General of the United Nations. It will be helpful for General Awareness section in SSC CGL exam.

PROFIT AND LOSS (Profit and loss questions for Bank exams)

Quantitative Aptitude Study Notes 
 Bank & SSC Exam

PROFIT AND LOSS

Profit and loss questions for bank exams. You know that the quantitative aptitude section is most important in bank exams in PO and Clerk and for other competitive exams because if you want a good score in the bank exam then you have to score well in maths. In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. That’s where maths shortcut tricks and formula are comes into action. So continuously we are providing shortcut tricks on different maths topics.

One of the most important topics in maths is PROFIT AND LOSS for Competetive Exams. You should know how to calculate profit and loss in a very short time. For this here we are providing shortcut tricks and quicker methods to calculate profit and loss in maths.

PROFIT AND LOSS
For profit and loss, we use the rule of the fraction is dominant. We should understand this rule very well because it is going to be used in almost all the questions.

If our required value is greater then the supplied value, we should multiply the supplied value with a fraction which is more than one. And if our required value is less than the supplied value, we should multiply the supplied value with a fraction that is less then one.
If there is a gain of x%, the calculating figures would be 100 and (100 + x).
If there is a loss of y%, the calculating figures would be 100 and (100 - y).
If the required value is more than the supplied value, our multiplying fractions should be 100 + x / 100
Or
100 / 100 – y
(both are greater than 1).
If the required value is less than the supplied value, our multiplying fractions should be
Fractions should be 100 / 100 + x
Or
100 – y / 100
(Both are less than 1).

PROFIT = SELLING PRICE (SP) – COST PRICE (CP)
LOSS = COST PRICE (CP) – SELLING PRICE (SP)
To find the gain or loss percent %
The profit or loss is generally reckoned as so much percent on the cost.
GAIN OR LOSS PER CENT % = loss or gain × 100 / CP

STATIC GK FOR SSC CGL

GENERAL AWARENESS
STATIC GK FOR SSC CGL
FIRST IN INDIA

STATIC GK FOR SSC CGL




General Awareness is a source for good preparation of Bank, SSC CGL, UPSC, and railway and for other competitive exams. Study General Awareness from www.GovtJobsPortal.in and stay updated as well as prepare for General Awareness section which is asked in SSC CGL, UPSC and other competitive exams. 


Here we are providing static GK for SSC CGL exam. Today’s topic on static GK is “First In India”. 
It is the List of First in India Significance with achiever in different categories and sections those will be helpful for General Awareness section in SSC CGL exam.


MACHINE INPUT OUTPUT

REASONING STUDY NOTES FOR BANK EXAM
SBI, IBPS AND RRB

MACHINE INPUT OUTPUT
In bank exam (SBI, IBPS, and RRB) & SSC Reasoning is one of the most important sections. A good score in reasoning test can lead you at higher marks in banking exam. In reasoning MACHINE INPUT OUTPUT is important topic. Usually 5-6 questions can be given from this topic in bank exam or other competitive exams as well. It can be easy topic if you have right tricks to find out logic by which the sequence is going on in input output. Here we are providing important tips and machine input output questions which are asked in SBI, IBPS bank exams.  
This topic is important for the main exam of SBI and IBPS.
MACHINE INPUT OUTPUT
In Machine Input Output, a message comprising of randomness letters/words or numbers or a combination of both is given as the input followed by steps of rearrangement to give sequential outputs. The candidate is required to trace out the pattern in the given rearrangement and then determine the desired output step, according as is asked in the questions.
In input output, the basic problem is time management. You can obviously get the logic if you are free from time limit, but the challenge is to get the logic as quickly as possible and get done with the questions to score more. So, here you can learn how to solve machine input by saving your time.

LOGIC PUZZLES

 REASONING NOTES FOR BANK EXAM: SBI, IBPS & RRB
LOGIC PUZZLES
In bank exams (SBI, IBPS, and RRB) Reasoning is one of the most important section. A good score in reasoning test can lead you at higher marks in banking exam. In the reasoning section LOGIC PUZZLES is most important topic. Usually 14-15 questions can be given from this topic in bank exam or other competitive exams as well. Today we are providing puzzle quiz for SBI, IBPS bank exams and other competitive exams.
DIRECTIONS: (Qs. 1-5): Read the following information carefully and answer the questions given below:
Seven teachers P, Q, R, S, T, U and V teach in the science section of VII of a particular school. They teach one of the following subjects – Chemistry, Physics, Maths, Biology and Zoology.
Four teachers are female – Q, R, U, and V. Two of them are married. Two teachers are members of PTA executive council, out of which only one is male. However, none of the married teachers are its members.
Two teachers each teach Physics and Chemistry. Both the chemistry teachers and one from Biology and Maths each have cleared UGC (NET).
All the married teachers except one are class teachers of one class or the other. There are four married teachers P, Q, S and U. There are three subjects teachers.
None of married women teachers have cleared UGC (NET). Two men teachers have cleared NET out of which one is married. He is Mr. P, a subject teacher. He is not from PCM stream. He teaches biology or zoology.
The PTA members are not from exclusive PCM or PCB stream. Both the teachers are subject teachers and not class teachers.
Only Mrs. Q teaches Biology. G is a class teacher.
PTA members teaches same subject.

STATIC GK FOR SSC CGL

 GENERAL AWARENESS
STATIC GK FOR SSC CGL
STATIC GK FOR SSC CGL
General Awareness is a source for good preparation of Bank, SSC CGL, UPSC, and railway and for other competitive exams. Study General Awareness from www.GovtJobsPortal.in and stay updated as well as prepare for General Awareness section which is asked in SSC CGL, UPSC and other competitive exams. Here we are providing static GK for SSC CGL exam. Today’s topic on static GK is “First In World’s”. It is the List of First in World Significance with achiever in different categories and sections those will be helpful for General Awareness section in SSC CGL exam.

BLOOD RELATION TRICKS

REASONING STUDY NOTES FOR BANK & SSC CGL EXAM
BLOOD RELATION TRICKS
In bank exam (SBI, IBPS, and RRB) & SSC Reasoning is one of the most important section. A good score in reasoning test can lead you at higher marks in banking exam. In reasoning BLOOD RELATION is important topic. Usually 2-3 questions can be given from this topic in bank exam or other competitive exams as well. It can be easy topic if you have right blood relation tricks. Here we are providing important tips and Blood Relation Tricks questions which are asked in SBI, IBPS bank exams and other competitive exams.

AVERAGE SHORTCUT : Calculate Average with a Trick

CALCULATE AVERAGE SHORTCUT TRICKS

You know that the quantitative aptitude section is most important in bank exams in PO and Clerk and for other competitive exams because if you want a good score in the bank exam then you have to score well in maths. In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. That’s where maths shortcut tricks and formulas are comes into action. So continuously we are providing shortcut tricks on different maths topics.
One of the most important topics in maths is average. You should know how to calculate the Average in a very short time. For this here we are providing shortcut tricks to calculate averages in maths.

CALCULATE AVERAGE SHORTCUT TRICKS


AVERAGE: An average, or more accurately an arithmetic mean is, in crude terms, the sum of n different data divided by n.

HOW TO CALCULATE THE AVERAGE:
For example, if a batsman scores 30, 50, and 25 runs in the first, second, and third innings respectively, then his average runs in 3 innings is equal to
30+50+25/3; =39 runs

Therefore, the two most used formulas in this question are:
Average= total of data/no. of data
And total = average × no. of data

Important Formulae Related to Calculate Average of numbers:
1. Average of first n natural number = (n+1)/2
2. Average of the first n even number = (n+1)
3. Average of first n odd number = n
4. Average of consecutive number = (First number +Last number)/2
5. Average of 1 to n odd numbers = (Last odd number+1)/2
6. Average of 1 to n even numbers = (Last even number+2)/2
7. Average of squares of first n natural numbers = [(n+1) (2n+1)]/6
8. Average of the cubes of first n natural number = [n (n+1) ^2]/4
9. Average of n multiples of any number = [Number*(n+1)]/2

Examples with shortcut tricks on how to calculate Average are given below:
1. Ex: the average age of 30 boys in a class is equal to 14 yrs. When the age of the class teacher is included the average becomes 15 yrs. Find the age of the class teacher?
Solution: total ages of 30 boys = 14 × 30 = 420yrs.
Total ages when class teacher is included = 15 × 31 = 465yrs.
So the age of the class teacher = 465 – 420 = 45 yrs.
Shortcut trick: age of new entrant = new average + no. of old members × Increase in average = 15 + 30 (15-14) = 45 yrs.

2. Ex: the average weight of 4 men is increased by 3 kg when one of them who weighs 120kg is replaced by another man. What is the weight of the new man?
Solution: by shortcut trick: if the average is increased by 3 kg, then the sum of weight increases by 3 × 4 = 12 kg.
And this increase in weight is due to the extra weight included due to the inclusion of new person.
So weight of new man = 120 + 12 = 132 kg.
We can also solve this question by Direct formula: weight of new person = weight of removed person+ no. of persons × increase in average = 120 + 4 * 3= 132 kg.

3. Ex: the average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed the examination?
Solution: Let the number of passed candidates be x.
The total marks = 120 × 35 = 39x + (120-x) * 15
Or, 4200 = 39x + 1800 – 15x
Or, 24x = 2400
X = 100
So the number of passed candidates = 100.

We can also solve this question by shortcut trick direct formula:
Number of passed candidates =
total candidates ( total average – failed average) / passed the average-failed average
And the number of failed candidates=
Total candidates (passed average – total average) / passed average – failed average
by this, we can solve the number of passed candidates = 120 (35 – 15) / 39 – 15
                                                                                          = 100

4. Ex: A batsman in his 17th innings makes a score of 85, and thereby increases his average by 3. What is his average after 17 innings?
Solution: let the average after 16th innings be x, then 16x + 85
= 17 (x + 3) = Total score after 17th innings.
X = 85 – 51 = 34
Average after 17 innings = x + 3 = 34 + 3 = 37
Shortcut tricks or direct formula:
Average after 16 innings = 85 – 3 * 17 = 34
Average after 17 innings = 85 – 3 (17 – 1) = 37.

5. Ex: a cricketer has completed 10 innings and his average is 21.5 runs. How many runs must he make in his next innings so as to raise his average to 24?
Solution: total of 10 innings = 21.5 × 10 = 215
Suppose he needs a score of x in 11th innings; then average in 11 innings = 215 + x / 11 =24
Or x, = 264 – 215 = 49
Shortcut tricks or direct formula:
Required score = 11 × 24 – 21.5 × 10 = 49
Note: the above formula is based on the theory that the difference is counted due to the score in the last innings.

6. Ex: in a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is replaced by a new boy. Find the age of the new boy.
Solution: Shortcut trick:
Age of new person = age of removed person – no. of persons × decrease in average age
= 18 – 20 × 2/12
= 18 – 10/3
= 44/3
= 14 yrs 8 months.

Also, read maths study notes & shortcut tricks on these topics:



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