Permutations - Combinations Shortcuts - Pdf Download

Important Note : Before downloading this Pdf file, read the Introductory Lesson of Permutations and Combinations Pdf Download here.

Friends, in our last post we have discussed about the basics of Permutations and Combinations. With this post we are giving you a pdf file of the brief summary of Permutation and Combination shortcut techniques. We have tried to cover almost all important points you should know about Permutations and Combinations. This file consists of basic formulas, ways of choosing same kind of people from the given group, ways of choosing different kinds of people from the given group, choosing different kinds of people to form groups, Selecting letters, balls and other identical objects, arranging people in a specific order, arranging different types of objects in a specific order, arranging people in a circular way etc. We hope this small pdf file will help you getting a clear idea on Permutations and Combinations. Now just download the file from below link and prepare well.


1)THE NO. OF PERMUTATIONS OF N THINGS TAKEN TOGETHER WHEN P ARE ALIKE OF ONE KIND, Q OF OTHER TYPE, R OF OTHER

KIND AND REST OF ALL DIFFERENT IS . WE MAY CONTINUE IT FOR ANY NUMBER OF ITEMS.

2)THE NO. OF PERMUTATIONS OF N DISSIMILAR THINGS, TAKEN ALL AT A TIME IS (N-1)!

3)THE NUMBER OF WAYS OF ARRANGING N DISTINCT OBJECTS ALONG A CIRCLE, WHEN CLOCKWISE AND ANTICLOCKWISE

ARRANGEMENTS ARE CONSIDERED SAME IS

4)THE NUMBER OF NECKLACES FORMED WITH N BEADS OF DIFFERENT COLOURS OR

GARLANDS FORMED WITH N DIFFERENT FLOWERS

IS .



5)THE NUMBER OF WAYS OF DIVIDING ( M + N ) THINGS INTO TWO GROUPS OF M THINGS AND N THINGS IS

Aptitude Video Lessons - Number Systems

Friends, finally we managed to provide you with Video Tutorials in our blog. Here is Gr8AmbitionZ.com's first video lesson on Quantitative Aptitude Basics. Here we have discussed the important concepts of Number Systems. We tried to make it simple so that you can easily understand the concepts. We have covered all the important basics like Divisibility Rules, finding out the unit digit and last two digits of the number, finding out the highest power of the number etc. We hope this will help you in your preparation. 

Number System Problems with Solutions - Pdf Download

Number System plays a vital role in Aptitude Section of almost all competitive exams like Bank PO, Clerks, CAT, MAT and GMAT etc. The more you practice, the better you will be in this section. So here we are giving you the practice paper of Number Systems with detailed solutions. Try to solve these questions without looking at the solutions. Here the point you should keep in mind while solving is, even a 9th grade student too can solve this paper if he gets enough time to think. But the problem is you should solve them in less time.

There are 25 questions in this paper. Try to solve them in 30 minutes (without checking solutions). Ofcourse, for beginners it may appear to be little difficult task to solve them in less time. But trust us friends, with little  practice you surely can do this. And one more good news is, we are presently working on a video tutorial on Number Systems shortcuts. Possibly you can get that by tomorrow's evening. We hope these materials will come handy in your preparation. That's all for now friends. You can download the Number Systems practice problems pdf file from below link. And please use the comments section below if you have any doubts regarding this practice paper. All the Best :)

Problems on Numbers with Solutions

The basic problem with us is, we all are get used to the simple life. We want things appear to be simpler. If we find the question like what will be the value of (2/3)*(1/5)*(3/7)*5, we just solve it in a fraction of seconds. But if we come across the questions like what will be the two third of one fifth of three seventh of five then we just skip to the next question. Where is problem? The problem is with our mindset. All of us keep on telling our minds that these questions are hard. But trust me guys, these are very simple problems to solve. All that you have to do is, to just put your mind on the problem. Here, with this post we are giving you some problems that appears to be harder at first glance but really very simple to solve. These are very important for any competitive exam. All the best and Happy Reading :)

Problems on Ages with Shortcuts

Age, a period of human life measured by years from birth, some people have 15 years, some may have 32 years and some good people like me always have 22 years (of course I am 22 from last 3 years, now don't ask me how). Generally you may get 3 replies when you tried to know anybody's age.

1. They may tell you their true age.
2. They may tell you some false and standard age (like me).
3. Or you may return rubbing your cheek with sad face if the answerer was an unknown girl.

But, the people in our competitive exams are lil different. They wont answer any question in direct manner. Instead of it saying a number, they just will say you some fraction or ratio, or just link their age to their relatives' or friend's age and ask you to guess their age. Ofcourse it sounds irritating. Usually we give a dirty look at the person and let him / her go in their way. But in exams, we don't have any other option except finding their real age. So here are some shortcut techniques to made the process of finding ages easier.We shall discuss the tricks with some examples so that you easily can understand them.

Geometry Formulas - Pdf Download

Friends, with this post we are giving you the pdf file of geometry formulas. In this small ebook (can we call a single page pdf file as an e book???) we have included all important formulas of geometry (both two dimensional figures and  and three dimensional figures). Just take a printout of this page (it hardly will cost you 1 Rupee). This will help you a lot in reviewing all geometry formulas. We have made this pdf file for those people who are going to appear for the SSC CGL Tier I exam. But this will helpful for those people who are appearing for different types of competitive exams which are having geometry as one of their subject. All the best and happy preparation :)

Andhra Bank - First List of PO Selected Candidates and Joining Schedule out

Andhra Bank, one of the leading Nationalized Banks of India which is having its head office in Hyderabad has announced its first list of 400 Candidates who were selected as Probationary Officers along with their joining schedule. The selected candidates have to report at the Hyderabad (or) Visakhapatnam venues on 22nd April 2013 along with all their original certificates. You can check complete details below. The bank is going to announce the 2nd list soon. All the best and Congratulations to all the selected candidates :)

Article on Sources of Indian Constitution

Friends, in this small article we are going to discuss the sources. of Indian Constitution Our constitution adopted and adapted best features of many constitutions of the world. Though many criticized it as a borrowed constitution, Dr. B R Ambedkar described it as a beautiful patch work and proudly announced that it’s been made by ransacking all the known constitutions of the world. Here is a detailed list  of sources of Indian Constitution. This list helps you to know which provision derived by which constitution and will help you getting a detailed idea about our constitution. We are posting this list by keeping SSC CGL aspirants in mind. But it will helpful to all... Happy Reading :)

Trigonometry Basics - Pdf Free Download

Friends, in today's post we are going to discuss one of the very important topic of aptitude Trigonometry. The origins of the  word Trigonometry are two Greek words. Trigonon and metria. The word Trigonon means Triangle and the word Metria means to Measure. In simple words Trigonometry is all about Triangles and their angles. This deals with the ratios between the sides of right triangles with reference to either of its acute angles and enables you to use this information to find unknown sides or angles of any triangle. This is the brief introduction of Trigonometry.

In SSC CGL and some other competitive exams you will face questions from Trigonometry. We made this small pdf ebook by keeping those aspirants in mind who are going to write SSC CGL exam, but this also will help other aspirants who are having trigonometry as a subject. 

Daily Current Affairs 2013 - 19th March 2013

National Current Affairs

• LokSabha passed Criminal Law (Amendment) Bill, 2013, which provides stringent action against rape and sexual assault on women.  A 20 year jail term will be imposed for the rape and if repeated it will be life term. However, the house opposed death sentence to acid attacks and child trafficking.

Aptitude Practice Questions for IBPS Clerks Exam - Completely Solved

Friends, hope you are making proper use of our Complete Study Materials Series for upcoming IBPS Clerks Online Exam. We've already updated plenty of practice problems for Aptitude Section. Recently some of our readers have requested us to provide a practice set with solutions too... So here you are. In this post we are giving you this Aptitude Practice Problems set. This set consist of 50 questions.  Download this pdf file , Try to solve them on your own and check your answers with the key. If you have any doubts in the procedures, you can check the detailed shortcut solutions given at the end of the paper. Hope it helps to improve your calculation speed and in result your chances of getting IN in the upcoming IBPS clerks online exam. Please use our comments box below if you have any queries, complaints or comments. All The Best and Happy reading :)

Aptitude Shortcuts - Average

Aptitude Questions with Answers - Average

1.  What is the average of first 21 multiples of 7 ?

1.  49
2. 147
3. 77
4. Cant be determined
5. None of these

2.  In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?

1. 12.5 Yrs
2. 14.2 Yrs
3. 12.3 Yrs
4. 12.6 Yrs
5. None of these

3.  The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?

1. 42
2. 57
3. 27
4. Cant be determined
5. None of these

4.  The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher

1. 49
2. 46
3. 48
4. Cant say
5. NOne of these

5.  The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?

1. 67.4kg
2. 58.85kg
3. 57.75kg
4. 49.4kg
5. None of these

6.  The average weight of 8 persons increases by 1.5kg when a person weighting 65kg is replaced by a new person. What could be the weight of the new person?

1. 53kg
2. 58.85kg
3. 75kg
4. 77kg
5. None of these

7.  The average temperature for Monday, Tuesday and Wednsday is 36.3 degrees C. The average temperature for Tuesday, Wednesday and Thursday is 36.7 degrees C. if Monday's temperature recorded as 39 degrees c, find the Thursday's temperature ?

1. 40.2 degrees C
2. 39.2 degrees C
3. 41.4 degrees C
4. 40.4 degrees C
5. None of these

8.  A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?

1. Rs. 2050
2. Rs. 210
3. Rs. 1950
4. Rs. 2200
5. None of these

9.  There were 45 students in a hostel, if the numbers of students increased by 7, the expenses of the mess were increased by Rs. 39 per day while the average expenditure per head diminished by Re.1. What is the original expenditure of the mess?

1. Rs. 624
2. Rs. 562
3. Rs. 585
4. Rs. 598
5. None of these

10.  The average age of father and his two sons is 27 Years. Five years ago, the average age of the two sons was 12 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?

1. 42
2. 48
3. 44
4. 47
5. None of these

Answers :

1.  Required average  = 7(1+2+....+21) / 21

                 =  (7/21)X ( (21x22) / 2 )  (because sum of first 21 natural numbers)

                  =  77

2.  Total age of 50 students 

                             =  (30X 13+20 X 12) = 630

                          Average =  630/50 = 12.6 Years

3.  The total of seven numbers = 7X18 = 126

          The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99

          So, the middle number is (126 - 99 ) = 27

4.  Total age of students is 32X16 = 512 Years

     Total age inclusive of teacher = 33X (16+1) = 561

      So, Teacher's age is 561-512 = 49 Yrs

                               There is a shortcut for these type of problems :

                                                    Teacher's age is 16+(33X1) = 49 Years :)

5.  Actual total weight is (20X 58.4 - 56 + 65) = 1177 Kgs

          Actual average weight is 1177/20 = 58.85kgs

6.  Let the average weight of 8 persons be 'x'

      years and the age of the new person be 'y'   years

                         so, (8x - 65 + y) / 8  = x+1.5

                          so, y = 77kgs                   Shortcut : 65 + 8X1.5 = 77kgs

7.  MOn + Tue + wed Temperature  =  3X36.3 = 108.9

        Tue + wed Temperature = 108.9 - 39 = 69.9

         Tue + wed + Thu temperature = 3X36.7 = 110.1

           So, Thursday's temperature = 110.1 - 69.9 = 40.2 degrees C

8.  Total expenditure for the first 3 months = 3X1600 = 4800

      Total expenditure for 4 months = 4X1550 = 6200

           Total expenditure for 5 months = 5X1800 = 9000

           Total expenditure and saving (which is income for one year)

               = 4800 + 6200 + 9000 + 5200 = Rs. 25200

              So, Average monthly income = 25200/12  =  Rs. 2100

9.  Let the original expenditure be Rs.x

     Original average expenditure = X/45

            New average expenditure = (x+39)/52

            So (x/45) - ((x+39) / 52) = 1  so x = 585

               so, original expenditure is Rs 585

10.  The total present age of father and two sons is 3S27 = 81 yrs

           The total present age of sons is (12+5) X 2 = 34Years

           so, present age of father is 81 - 34 = 47 yrs