 IBPS Data Interpretation & Maths: Internal breakup
 Ignore following topics
 Speed Maths
 Booklist for IBPS Data Interpretation & Quantitative Aptitude
 #1: Data Interpretation (DI)
 #2: BODMAS/Simplification
 #3: Number sequenceseries
 #4: Linear Equations
 #5: PermutationCombinationProbability
 #6: Average
 #7: RatioProportionvariations
 #8: Percentages, profitloss, SICI
 #9: Number theory and Remainders
 #10: Geometry (AreaVolumePerimeter)
 #11: TimeSpeedWorkDistance
IBPS Data Interpretation & Maths: Internal breakup
Topicwise Breakup IBPS CWE PO/MT  2011  2012 
Data Interpretation (DI)  20  15 
BODMAS/Simplification  10  10 
number sequenceseries(although reasoning topic but asked here)  5  5 
Linear Equation  4  3 
PermutationCombinationProbability  5  2 
Average  2  1 
%, profit loss, simplecompound interest  2  3 
RatioProportionVariation  2  3 
Number theory (Remainders)  0  1 
TimeSpeedWork  0  1 
Geometry (AreaVolumePerimeter)  0  6 
total  50  50 
Obviously high priority = DI + BODMAS + Sequenceseries.
And, Although not many questions are coming from the individual topics of percentages, profit loss, simplecompound interest, Timespeedword, ratio, averages etc. but collectively, these topics help you raise your score by atleast 10 marks. Hence their Cost:Benefit is quite good. (compared to the amount of data you’ve to memorize to get 10 marks out of Misc.GK/Sports/Persons in News type MCQs.) Therefore, donot run away from Maths, prepare it diligently.
Ignore following topics
 Quadratic equations (ax^{2}+bx+c=0)
 Geometry theory (except areavolumeperimeter)
 Trigonometry
 Coordinate Geometry
 logarithm
Speed Maths
In Both previous years, at least 25 out of 30 questions came from Data interpretation+ BODMAS only
for both ^these topics, speed Maths=essential. Although internet is full of techniques of Speed Maths, Vedic Maths, but you must atleast master following techniques:
 Trachtenberg’s Techniques for:
 Multiplication by 5. It also indirectly helps you find out half (50%)of the given number as well. Because “m”x5= 10m/2. This helps you eliminate wrong answers quickly whenever you’ve find percentages.
 Multiplication by 9. It indirectly helps you guestimate the division by 11 as well. Because m/11=~0.9m
 Quick multiplication by 11. It indirectly helps you guestimate the number division by 9 as well. Because m/9=~0.11m
here is the wiki link: http://en.wikipedia.org/wiki/Trachtenberg_system
 Two digit division / long division / percentages approximation explained on
 Divisibility rules for various numbers (Given in NCERT, Quantitative aptitude books)
 Multiplication tables of 2 to 9, 12 to 25 must be learned by heart. Especially the tables of 13, 17, 19 and 23.
 Squares upto 29 and cubes upto 12 (required for the sequenceseries questions and BODMAS)
 After that, as per your time and mood, learn the Vedic math techniques for finding cuberoots, squareroots of large numbers; threedigit multiplication etc.etc.etc.
Booklist for IBPS Data Interpretation & Maths
NCERT Maths
for clearing the basic concepts: all of them available at Mrunal.org/download
Mrunal.org/aptitude
for simplified techniques on %, Compound interest, permutationcombinationprobability etc.
Any one BankPO paperset  Require mainly for the Data interpretation practice.

Any one book on Maths/Quantitative Aptitude 

#1: Data Interpretation (DI)
Can be of two types
DI  with photo (Chart)  without photo 

Example 


Essential Skill 
 Additionsubtraction. (although sometimes will require %, ratio, division as well.) 
How is Bank DI different from other exams?
 In SSC CGL, LIC, State PCS exams, usually chart based simple case. Doesn’t involve lengthy calculations.
 In IBPS/Bank PO, even if chartbased DI is asked, often you’ll be given an additional table showing ratio/sales etc. So you’ve to utilize the information from both chart + table to derive the answers.
How to approach?
Data interpretation doesn’t have much theory, except in piechart case (about conversion between % and circle degrees + when and where will the answer = “datainsufficient’)
 First master the minimum speed math techniques given above.
 Understand the Ratio related concepts.
 Understand the basic concepts of bar graph, piecharts etc. from Class 11 NCERT Statistics.
 Then start solving DI questions given the paperset book (Arihant / Kiran )
#2: BODMAS/Simplification
Bank exams (PO and Clerk) have an unwritten rule: first 1012 questions must be from BODMAS.
Here are two sample questions
 [Square root (6354)] x 34.993=?
 39.89% of 4331 divided by 58.779% of 5003=?
#1: first clear you basic concepts about following
Simplification (BODMAS)  NCERT Class 8 Chap 1 

Surds, indices 

Roots, squares, Cubes  Basics from NCERT Class 8 Chap 6 and 7. 
#2: then master the speed math techniques I listed earlier.
#3: Have a target of solving atleast 10 questions from your paperset every night, before going to sleep.
#3: Number sequenceseries
Although it is a reasoning topic, but they’ve asked it in Maths section. Consider following examples from previous IBPS papers
Q. In the following number series, only one number is wrong. Find out the wrong number
8424, 4212, 2106, 1051, 526.5, 263.25, 131.625
Answerchoices
 131.625
 1051
 4212
 8424
 263.25
Preparation source
 for the warm up exercise, go through chapter 3 (Classification) of RS Aggarwal’s Reasoning book
 Then maximum practice, go through your paperset book.
Bad thing about such questions: Sometimes you’ll be able to decipher the pattern within a minute, and sometimes, even after doing trialerror for more than 15 minutes, you might not see the pattern. Therefore, my suggestion is: during the exam, you put the entire set of sequenceseries questions on “mark and review”. (And when you’re done with other sections, come back and solve these questions at the end of exam.) Don’t waste initial momentum here.
#4: Linear Equations
Another ‘reliable’ area in IBPS. Sometimes, you’ll need to apply concepts of linear equations, to tackle questions from Timespeeddistance, ratioproportionvariation, averages etc as well.
Here are some samples questions from previous exams:
 Rubina could get equal number of Rs. 55, Rs. 85 and Rs. 105 tickets for a movie. She spends Rs. 2940 for all the tickets. How many of each did she buy?
 The ratio of the present age of Manisha and Deepali is 5 : X. Manisha is 9 years younger than Parineeta. Parineeta’s age after 9 years will be 33 years. The difference between Deepali’s and Manisha’s age is the same as the present age of Parineeta. What should come in place of X?
 Akash scored 73 marks in subject A. He scored 56% marks in subject B and X marks in subject C. Maximum marks in each subject were 150.The overall percentage marks obtained by Akash in all the three subjects together were 54%. How many marks did he score in subject C ?
Two things to be kept in mind, while solving questions on linear equation:
#1: keep minimum variables
Suppose the question runs like this “The sum of present ages of father and son is 56, and 5 years ago Son’s age was……….blah blah blah….find the present age of Father. ”
avoid this  do this 





#2: Cannot be determined
Suppose you end up with two equations like this:
 x+y=5
 y+z=6
Here you’ve two equations but three variables (x, y and z). You can never find out the unique value of x, y, z in such situation. Hence answer = “Cannot be determined”.
But sometimes, even two variabletwo equation set can be impossible to solve. For example
No solution  infinite solution 

 2x+ 3y=94x+ 6y=18 
To learn more about ^this, refer to NCERT Maths Class 10, Chapter3, table given on the page #9.
Preparation source for Linear Equations
 Understand basic concepts from
 NCERT Class 8 Chap 2 and 9.
 Then NCERT Class 9 Chap 4
 Lastly NCERT Class 10 Chap 3.
 Then maximum practice from your Quantitative Aptitude book and OR paper set book.
#5: PermutationCombinationProbability
Most of that can be solved without memorizing any formulas. In my opinion, this is the easiest of all math problems. Go through following articles
PermutationCombination
 [Aptitude] Permutation Combination made easy without Formulas
 [Aptitude] Combination: Coins possible Sums (without formula)
 [Aptitude] PnC: arrange such that two people Always sitting together?
 [Aptitude] PnC: How many Ways to arrange letters of word “RECUPERATE” (Permutation without Formulas)
 [Aptitude] PnC Arrange digits in ascending order to form numbers (asked in UPSC 2009)
 [Aptitude] PnC: Conditional Selection in Committee
 [Aptitude] PnC: Binomial Expansion. How many ways to select one or more out of given Items?
Probability
 [Aptitude] Probability Made Easy (Extension of Permutation Combination Concept!)
 [Aptitude] Probability : Two Dice problems Sums and multiples
Then solve maximum questions from your Paperset book.
Sample Questions from previous exams
 (IBPS 2011) An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles. Answer following questions
 If two marbles are drawn at random, what is the probability that both are red or at least one is red?
 If three marbles are drawn at random, what is the probability that at least one is yellow?
 If eight marbles are drawn at random, what is the probability that there are equal numbers of marbles of each colour?
 If three marbles are drawn at random, what is the probability that none is green?
 If four marbles are drawn at random, what is the probability that two are blue and two are red?
 (IBPS 2012) A bag contains 13 white and 7 black balls. Two balls drawn at random, what is the probability that both are of same color?
 (IBPS 2012) In How many different ways can the letters of the word “THERAPY” can be arranged so that the vowels never come together?
#6: Average
Go through following articles, then maximum practice from your paper set book.
 [Aptitude] Averages: Entry / Removal of 1 element => Increase / Decrease in Average Shortcut method explained
 [Aptitude] Averages: More than two elements added / removed : shortcut technique explained
Sample questions
 The average marks in English of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 61 in lieu of the actual marks 48, 59 and 67 respectively, then what would be the correct average?
 The sum of the ages of 4 members of a family 5 years ago was 94 years. Today, when the daughter has been married off and replaced by a daughterinlaw, the sum of their ages is 92. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and the daughterinlaw?
 In an entrance examination, Ritu scored 56 percent marks, Smita scored 92 percent marks and Rina scored 634 marks. The maximum marks of the examination is 875. What is the average marks scored by all the three girls together?
Alligations (WineWater Mixture)
Although not asked in previous exams but since it is an allied topic of “averages, so just to be safe, go through following articles
 [Aptitude] Alligations,Mixtures,Alloys: Water,Milk,Wine mixing: Weighted Average Made Easy for CSAT,CAT,CMAT,IBPS Aptitude
 [Aptitude] Alligation: Advanced applications in Interest rates, Profitloss, Average Wages (WineWater Concept)
#7: RatioProportionvariations
 NCERT Class 8 Chap 13.
 then max practice from your Quantitative Aptitude book and or papersets
 Also prepare the allied topic: “Partnership”, using this article http://mrunal.org/2012/05/aptitudepartnershipandprofitsharing.html
Sample Questions from previous papers
 A certain amount was to be distributed among A, B and C in the ratio 2 : 3 : 4 respectively, but was erroneously distributed in the ratio 7 : 2 : 5 respectively. As a result of this, B got? 40 less. What is the amount?
 Rs.73,689 are divided between A and B in the ratio 4 : 7. What is the difference between thrice the share of A and twice the share of B?
 The fare of a bus is X for the first five kilometers and 13/ per kilometer thereafter. If a passenger pays Rs. 2402/ for a journey of 187 kilometers, what is the value of X?
#8: Percentages, profitloss, SICI
No need to mugup any formulas. Can be solved effortlessly, just go through following articles
 [Aptitude] Concepts of Marked Price and Successive Discounts (ProfitLoss) without (stupid) formulas
 [Aptitude] Compound Interest Rate, Population Growth without Formulas
 [Aptitude] Product Consistency: If Sugar price increases then consumption should be Decreased by What %, TimeSpeedDistance problems,
Then solve maximum sums at home.
Sample Questions from previous IBPS PO Exams:
 An article was purchased for Rs.78.350/. Its price was marked up by 30%. It was sold at a discount of 20% on the marked up price. What was the profit percent on the cost price?
 What is the difference between the simple and compound interest on Rs. 7,300/ at the rate of 6% per annum in 2 years?
 The simple interest accrued on an amount of Rs. 22,500 at the end of four years is Rs. 10,800. What would be the compound interest accrued on the same amount at the same rate of interest at the end of two years?
 Ramola’s monthly income is three times Ravina’s monthly income, Ravina’s monthly income is fifteen percent more that Ruchika’s monthly income. Ruchika’s monthly income is Rs. 32,000. What is Ramola’s annual income?
#9: Number theory and Remainders
topic  approach 



Sample Questions from previous papers
 When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?
 The product of three consecutive even numbers is 4032. The product of the first and the third number is 252. What is five times the second number?
 Sum of three consecutive numbers is 2262. What is 41% of the highest number?
#10: Geometry (AreaVolumePerimeter)
 Basics from
 NCERT Class 8 Chap 3, 11.
 NCERT Class 9 Chap 9, 12, 13.
 NCERT Class 10 Chap 13
 Then maximum practice @home.
Sample Questions from IBPS2012
 The area of a square is 1444 square meters. The breadth of a rectangle is 1/4th the side of the square and the length of the rectangle is thrice the breadth. What is the difference between the area of the square and the area of the rectangle?
 The premises of a bank are to be renovated. The renovation is in terms of flooring. Certain areas are to be floored either with marble or wood. All rooms/halls and pantry are rectangular. The area to be renovated comprises of a hall for customer transaction measuring 23 m by 29 m, branch manager’s room measuring 13 m by 17 m, a pantry measuring 14 m by 13 m, a record keeping cum server room measuring 21rn by 13 m and locker area measuring 29 m by 21 m. The total area of the bank is 2000 square meters. The cost of wooden flooring is t 170/ per square meter and the cost of marble flooring is Rs.190/ per square meter. The locker area, record keeping cum server room and pantry are to be floored with marble. The branch manager’s room and the hall for customer transaction are to be floored with wood. No other area is to be renovated in terms of flooring.
 What is the respective ratio of the total cost of wooden flooring to the total cost of marble flooring?
 If the four walls and ceiling of the branch managers room (The height of the room is 12 meters) are to be painted at the cost of 1901 per square meter, how much will be the total cost of renovation of the branch manager’s room including the cost of flooring?
 If the remaining area of the bank is to be carpeted at the rate of Rs. 110/ per square meter, how much will be the increment in the total cost of renovation of bank premises?
 What is the percentage area of the bank that is not to be renovated?
 What is the total cost of renovation of the hall for customer transaction and the locker area?
#11: TimeSpeedWorkDistance
All of them can be solved with our universal STD formula. See following articles to learn the concept
Sample Questions from previous IBPS exams
 A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
APGP
Although these questions were not seen in recent exams but if you’ve time and mood left, prepare the basics from NCERT and practice a few MCQs. You might get lucky for question or two!
Arithmetic Progression  NCERT Class 10 Chap 5. 

Geometric Progression  NCERT class 11 chapter 9. 
For more on IBPS PO/CWE related articles and study plans, visit Mrunal.org/IBPS
So far 119 Comments posted
thans for your information,it will helps me much more
I want to know how to solve linear equations ques .
Q1 Three consecutive integers add up to 51. What are these integers?
Q2 Three consecutive integers are such that when they are taken in increasing order and
multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
These ques r from ncert class 8 linear eqn chapter
Plz help asap thnx.
let the three number be 1st number = (x1), 2nd number = x and 3rd number = (x+1)
which leads us to the equation of [(x1)+x+(x+1)=51] => [3x=51] => [x=17]…(sinse 3*17=51)
therefore numbers are {16, 17 and 18}….
similarly for 2nd question let the numbers be (x1),x and (x+1)
now new number will be (2x2), 3x and (4x+4)
so this lead us to the equation of [(2x2) +3x+(4x+4)=74] => [9x+2=74] => [9x=72] => [x=8]… (since 9*8=72)
therefore the numbers are {7,8 and 9}
Why the first three consecutive numbers are x,x+1,x+2 ???
what I mean is why did you take x1 as first consecutive number ?
yes! then x1,x,x+1 will be consecutive integers.
adding them up ==> 3x = 51 ==> x = 17
therefore, the no.’s will be 171,17,17+1 == 16,17,18 🙂
hi vince,
for Q1, take variables as x, x+1, x+2. as given, x+(x+1)+(x+2)=51. by solving this, you get x=14.
so the integers are 14, 15, 16.
for Q2, take variables in increasing order as x, x+1, x+2. when multiplied by 2, 3 and 4, you get 2x, 3x+3, 4x+8 respectively. as given, 2x+(3x+3)+(4x+8)=74. then, x= 7. so the numbers are 7, 8, 9.
Thnx satish
a man walks 30 metres towards south then turning to his right he walks 30 metres then turning to his left he walks 20 metres again ,he t0 urns to his left and walks 30 metres how far is he his initial position
…………………….. ^
…………………….. 30
…………………….. v
_____________
 ^
 20
_v__________ O Ending point
Answer: 30+20 = 50
I think x is 16 here so no should be 16 17 & 18
hi satish,
your solution for 1st question is wrong kindly go through my solution…
let the three number be 1st number = (x1), 2nd number = x and 3rd number = (x+1)
which leads us to the equation of [(x1)+x+(x+1)=51] => [3x=51] => [x=17]…(sinse 3*17=51)
therefore numbers are {16, 17 and 18}….
dear satish
x+(x+1)+(x+2)=51, then you get x=16
thanks admin for study plan ,
sir i am just starting to prepare for apti, i want to know that is this material is enough for ibps with lots of practice again and again…or i should arrange TIME aptitude material for aptitude and english…???
sir i m little bit confused before starting…
please provide studyplan for sbi po maths
i m not able to download ncert maths of any class whn i click on download a new page gets open with msg “403 forbiden”
sir plz i m just starting for prepare sbi po plz kindly tel me study plan n which book should i refer for this exam????????
KIRAN PUBLICATIONS BOOKS ARE USEFUL
Respected sir,under TimeSpeedWorkDistance article numbers 3,4,6 & 8 are not working.please resolve the same.
thanks and regards
aniil cumar
This is reg link for [Aptitude] Combination: Coins possible Sums (without formula).
The link is not opening. could yiu please provide the PDF or new link for this.
thanks for explaining tricks for long division,please tell some more tricks to make divisions easy of big digits and multiplications.
Hi Mrunal the “[Aptitude] Pipes and Cistern problem: 3 pipes, 2 work together” , Pipes and Cistern problem: 3 pipes, 2 work together, links are not working. Please look into this and help us Thanks in advance.
please provide studyplan for sbi po maths…. And studyplan for reasoning is excellent….. Please provide such kind of plan for maths also for sbipo only
Mrunal Sir
I sincerely request you to remove the book “Kiran Prakashan’s Practice book workbook for IBPS PO/MT (with FREE CD for computer test” from the list of the suggested books for IBPS practice. I recently bought this books it’s horribly full of mistakes – mistakes in questions, mistakes in answers…. you won’t find a single set free of any mistake…. in case you don’t believe me I can provide the list of few mistakes (the list of all the mistakes could be pretty long) with page number and question number and set number , the list of all the mistakes could be pretty long…… you would be really frustrated…. It’s priced over Rs. 500 too. That’ why I put this information here so any of you serious aspirant don’t get fooled.
which book good for practise paperset ibps po ?
Hello, i just want to ask an article about SBI Clerk 2014. This time SBI pronounced vacancies by state wise. I belong to UP but there are not too much vacancies in State UP and the state wise cutoff always goes high in UP. So can I apply for any other state like DelhiNCR ?
The above link for ncert math class 8, 9, 10 download is not working….
thanx a lot sir.. your article is very helpful for many job aspirants
Its really worth to read this amazing article, thanks to Mrunal Sir.
I have appeared for Coal India MT exam 2014.
Can anybody please refer me about the result, when it will be out??
it can be cancelled
Thnks Ebigma for reply bt Aisa kyu?? Did u get thru Any reliable sources?
book of DI For ibpspo 2014….last year k exam me di was so complicated…r ab DI BHAUT TUFF AA RHE H…so ase bk jo di ko solve krme me helpful ho…
D.I ab exam me kafi hard aati h.. market me aisi book n milti h jinse practise ho kyon si book purchase kre
Mrunal Sir TimeSpeedWorkDistance article numbers 3,4,6 & 8 are not working . Please Resolve the matter. Thanks
Sir i need ur suggestion dat how to approach the puzzle ..n from where i shuld practise puzzle prb …i do prb on puzzle but still i dont grasp confidence sir desperately i need ur suggestion ..plz
Sir plz send me ibps po DI question with complete solution.
bro x+(x+1)+(x+2)=51
3x+3=51
x=16
so no. will be 16,17,18
hi admin..give me a short cut methods for reasoning and aptitude
GIVE ME DI TRICKS
A is twice as good a workman As B and is therefore able to finish a piece of work in 30 days less than B . In how many days they can complete the whole work ; working together ???
Plz any one tell me with STD Method thank u
let A can do work in x days. so b will work in 2x days.
now A.T.Q. 2xx = 30
x= 30
A can do a work in 30 days and B can do in 60 days…
one day work of A = 1/30 one day work of B = 1/60
A+B can do that work in one day = 1/30 +1/60 = 1/20
required time to do that work completely = 20
Does anyone know d question where some angle is to be found between two variables in pie chart…it CME in both SBI po and ibps po dis time
Plz elaborate if anyone remembers d question
For any NCERT books visit this:
http://ncert.nic.in/NCERTS/textbook/textbook.htm
technical competetive questions for industrial job
aptitude math questions
(11/2)*11/3*11/4*……………………………….11/n
(11/2)*11/3*11/4*……………………………….11/n how to solve this
hiiiiiiiiii sir sbi po data interpretation only
guys,
can any body tell the trick to solve almost questions on linear equation without using quardtc equation..Though am able to solve most of the questions on linear equation without applying quardtc equaton but some times i concur with lenghty ones and i stuck there…Kindly help guys….
for eg eq 1 2y sq + 25y + 78
eq 2 7x sq + 104x + 169
Now here i can easily come up with the values for “Y” as: 13/2 , – 6
but not able to put my brain for equation 2. So if any1 got any better way to solve, than plz help me with this.
Thanks
bv
hi sir/madam
i need short cuts for data interpretation so pls mail to my id …………………………..friends
Hi Team,
Please update the Topicwise Breakup of IBPS CWE PO/MT questions for the year 2013 and 2014.
It will be quite helpful for us.
Thanks.
Hello Sir,
This link is not working.
http://mrunal.org/2012/03/aptitudecombinationcoinspossible.html
Sir, Rajesh VERMA book of math is sufficient for po ibps?
sir,
how do i know that how many times i have attempted sbi po exam…? ibps po application they asked register no of my previous attempt…can i get any link to find that?
7x^2+91x+13x+169 &7x(x+13)+13 (x+13)&x=13&x= 13/7.
How to solve this question:
1. x+y=2
2. x+2y=3
which is correct:
X=Y
X>y
X<y
None of these
Gaurav Sinha
x+y=2
x+2y=3
sol: 2xx+2y=3
2(x+y)x=3
2(2)x=3
4x=3
x=1
:. y=1
x=1
Sir I am preparing for bank exams so for QA shall I prefer A.S. Agarwal ‘s book
can anyone know simple tricks to solve following quickly:
1) 4^2.3 × 22^2.3 × 8^1.7=?
2) 18.8 × ? × 14.2 =5232.416
3) 17.998 + 23.005 + 11.99=?
4) 9876.5 ÷ 18.5 ÷ 3.2=?
5) (18.6)^3=?
hi mrunal,
thanks for the great content.
I need sbi po exam’s last years papers.I searched but couldn’t find any thing relevent.It would be better if you suggest me any collection of question paper and MOCK TEST for the same as i do not have access to computer.
Thanks and all the best
Sir,
I bought quantum aptitude by sarvesh k verma as recommended by you but chapter for DI is not in the index, which chapter should i refer for DI portion.
Please revert back.
Thanks.