- Studyplans for Aptitude Exams
- Percentages, Marked Price, Discount, Bank Interest
- Number System
- Averages, Alligiations, Wine-Water
- Time Speed Distance Work
- Trigonometry for SSC & CDS
- Permutation Combination Probability (PCP)
- Reasoning: Syllogism
- Reasoning: Others
- Aptitude Answerkeys
- Comprehension English reading
- Statistics for Mains

Archive page for all the aptitude, Maths, English, reasoning related articles published for CSAT, SSC, CDS, CAT and other competitive exams

## Studyplans for Aptitude Exams

### UPSC CSAT Prelims Paper 2

- Comprehension and Reasoning
- Mathematics & Data Interpretation: high priority topics
- Decision Making + Mathematics: Medium & low priority topics

### Bank PO & Clerks

- IBPS CWE PO/MT: Quantitative Aptitude, Maths, Data Interpretation (DI), Speed Maths
- IBPS CWE PO/MT: Reasoning, topicwise analysis, priority topics, syllogism, assumption-inference, sitting arrangement, Non-Verbal, data sufficiency
- IBPS CWE PO/MT: English, Grammar, Comprehension, Sentence Arragenment
- SBI PO Reasoning (High Level): Topicwise Approach, booklist, strategy, Cutoffs

### RBI jobs

- RBI Grade B Officers (Preliminary) Objective Phase-I Exam : Booklist, Strategy, Previous question Paper
- RBI Assistant exam, Topicwise booklist, strategy, Free studymaterial, previous years paper, cut offs

### Staff Selection

- SSC-CGL: Maths, Quantitative Aptitude, Algebra, Trigonometry: Approach, Booklist, Strategy, Free Studymaterial 2013 for Combined Graduate Level Exam Tier 1, 2
- ACIO Assistant Central Intelligence officer : Maths, Reasoning, English
- SSC-CGL Logical Reasoning, General Intelligence: preparation strategy, approach, roadmap, booklist
- [Strategy] The Art of Preparing for Aptitude Exams

### CDS Combined Defence Services

- Maths Paper: Number System, Quadratic Equations, Surds, Indices, Linear Equation (Part 1 of 3)
- Maths Paper: Percentages, profit-loss, Simple,Compound Interest rate,Time,Speed,Distance,Work and Statistics (part 2 of 3)
- Maths Paper: Geometry, Trigonometry, Mensuration, Area, Volume, Perimeter (Part 3 of 3)

### Others

- CAT (Common Admission Test): Booklist, Strategy, Tips, How to Get more than 95 Percentile by maintaing diary of mistakes
- UPPCS Preliminary Exam Paper 2: Aptitude, Maths, Reasoning, Decision Making, English, Hindi, free studymaterial & previous papers

## Percentages, Marked Price, Discount, Bank Interest

- [Aptitude] Long Division, Two-Digit Division, % Calculation without Tears (and without boring Vedic Maths) using % Approximation Method
- [Aptitude] Concepts of Marked Price and Successive Discounts (Profit-Loss) 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 %, Time-Speed-Distance problems, shortcuts for SSC, IBPS, CSAT, CAT
- [Aptitude] Data Interpretation (DI): Bar and Pie chart practice Questions with Explanation
- [Aptitude] Partnership and profit-sharing made Easy for CSAT IBPS CAT

## Number System

- [Aptitude] LCM, HCF, GCD: Basic concept, calculation, applications explained
- [Aptitude] Remainder: One number and two divisors (Number Theory)

## Averages, Alligiations, Wine-Water

- [Aptitude] Alligations,Mixtures,Alloys: Water,Milk,Wine mixing: Weighted Average Made Easy for CSAT,CAT,CMAT,IBPS Aptitude
- [Aptitude Q] Mixture and Alligiation: Change Alcohol concentration from 15% to 32%
- [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
- [Aptitude] Alligation: Advanced applications in Interest rates, Profit-loss, Average Wages (Wine-Water Concept)

## Time Speed Distance Work

- [Speed Time Work] Two Men can finish a work, A is 3x more efficient than B, B leaves before completion & variety of cases
- [Speed Time Work] Three men can finish a work in x days, A & B start work, C joins after x day, share in wages & other special cases
- [Aptitude] Trains, Platforms TSD (Time,Speed,Distance) made easy
- [Aptitude] Boats and Streams made-easy using our STD-Table Method
- [Aptitude Q] STD table : Application in train man bridge, time and work problems
- [Aptitude] Time n Distance: Early and late to office (shortcut using product consistency method) for SSC, IBPS, CSAT, CAT, CMAT
- [Aptitude] Food/Water will last for how many days?
- [Aptitude] TSD: Relative speed, Moving towards eachother
- [Aptitude] Data Sufficiency (DS): Simple Equation, Partnership, TnW
- [Aptitude] Time n Work: 4 men and 6 women can complete a work in 8 Days then
- [Aptitude] TSD: Average Speed made easy without Formulas (Our Good ol’ STD-Table Method!)

## Trigonometry for SSC & CDS

This topic is Important for SSC, CAT and CDS exam. Not asked elsewhere.

**Type#1: Height-Distance Questions**

- [Trigonometry] Introduction, Types of Questions, Shortcut for memorizing 30,45,60 for SSC CGL CDS
- [Trigonometry] HnD Type #1: One Building One Angle finding height, distance or hypotenuse
- [Trigonometry] HnD Type #2: Broken Trees and Telegraph Poles: Finding original height
- [Trigonometry] HnD Type #3: One Building Two Angles made easy for SSC
- [Trigonometry] HnD Type #4: Two Buildings-Two Angles made easy for SSC
- [Trigonometry] HnD Type #5: Finding speed, time or distance made easy for SSC

**Other types**

- [Trigonometry] Type#2: Table based questions, memorization technique, approach explained for SSC CGL
- [Trigonometry] Type#3: Complimentary Angles related Questions and approach for SSC CGL
- [Trigonometry] Type#4: Questions based on Trig and Algebra combo
- [Trigonometry] Type #5: Finding Minimum Maximum Values for SSC CGL Made Easy without differentiation

## Permutation Combination Probability (PCP)

Was a hot topic back in the 90s era. But nowadays hardly any question come from this.

- [Aptitude] Permutation Combination made easy without Formulas
- [Aptitude] PnC: arrange such that two people Always sitting together?
- [Aptitude] Probability Made Easy (Extension of Permutation Combination Concept!)
- [Aptitude] PnC: How many Ways to arrange letters of word “RECUPERATE” (Permutation without Formulas)
- [Aptitude] PnC: All possible numbers using 012345, All possible words using ABCDE, Permutation Arrangement Made Easy with and without Formulas

## Reasoning: Syllogism

- [Reasoning] Syllogism (All Cats are Dogs): Method, approach, techniques, shortcuts explained for IBPS, SSC, CSAT and CAT
- [Reasoning] Three-Statement Syllogism: technique, method, shortcuts for IBPS, SSC, CSAT, CAT, CMAT
- [Reasoning Q] 3-Statement Syllogism doubt Question: Apples, Mangoes, Vegetarians
- [Reasoning] 4-Statement Syllogism: Approach, Techniques, explained for SBI PO (High level reasoning) and UPSC CSAT paper 2

## Reasoning: Others

- [Reasoning] Logical Connectives (if, unless, either or) for CSAT, CAT shortcuts formulas approach explained
- [Reasoning] Calendar Questions: Finding day or date, concepts, shortcuts explained
- [Aptitude] Family Trees & Blood Relations: Logical Arrangement Made Easy
- [Aptitude] Logical Arrangement : Circular / Round Table

## Aptitude Answerkeys

- [Answerkey] CAPF-2013: Aptitude, Maths, Reasoning, Data interpretation solved with explanation
- [ACIO-2013] Aptitude (Maths, Reasoning, English) Answerkey with explanations, shortcuts

## Comprehension English reading

- [Strategy] Comprehension for CSAT Paper 2: Rules, tips, assumption, inference, free practice material (500+ passages!)
- [Comprehension] Solved Passages from CSAT 2011, with explanation and approach

## Statistics for Mains

This is no longer part of UPSC syllabus but still some state service class 1 class 2 exam have it. So, use it accordingly.

- [Statistics 4GS] Finding Maximum age among youngest 30% of brides, Cumulative Freq. KPSC Exam Q
- [Statistics 4GS] Scatter-plot Graph Question from GS (Mains) 2012: Solution, Explanation, Sample Graph
- [Statistics for GS] Continuous Data Series: Find Standard Deviation, MD,QD,Median and Mode (Youtube Videos)
- [Statistics for GS] Discrete Data: Find Standard Deviation, Mean Deviation, QD, Mean,Median and Mode (Youtube Videos)
- [Statistics for GS] Ungrouped Data: Mean Median Mode,QD,MD and SD (Youtube Videos)
- [Statistics for GS] How to Draw Pie Chart in UPSC GS Mains Exam? (Youtube Video)
- [Statistics for GS] Finding Missing Frequency in a Continuous Series (UPSC Mains)

## 222 Comments on “[Aptitude] Archive of All Aptitude articles written by Mrunal for UPSC, CSAT, IAS,IPS,SSC,CDS,CAPF,IBPS exams”

hey how come there is no article purely for geometry;considering its gaining importance in cgl.please look into it ASAP

sir plz provide us article on IBPS PO-iii,sbi po,AO for general insurance.

thx!

hi sir,

i an going to appear in FCI (Food Corporation of India) MT exam and FCI AGM exam.

pls suggest me the study plan and it will be of great help if you could upload the previous papers…

waiting for your reply..

Thanks

Anyone,kindly help me in finding the very basic document on STD Table in Aptitude Section.Anyone can post the link will be a great help.

A takes twice as much time as B and thrice as much as C to complete a piece of work. They together complete the work in 1 day. In what time will A alone complete the work

i got d solution.

SIR,

PLZ PROVIDE AN ARTICLE ON PREPERATION STRATEGY FOR NICL AO EXAM ON SEPT 8 2013….. IT WILL BE VERY USEFUL FOR MANY OF US….

AWAITING YOUR RESPONSE

THANKING U

a boy can swim in still water at a speed of 10kmph. If d speed of the current would have been 5kmph, then d boy could swim 60km

A. Upstream in 4 hrs

B. Downstream in 12 hrs

C. Upstream in 6 hrs

D. Downstream n 4 hrs

D. DOWNSTREAM IN 4 HRS.

AND IN UPSTREAM IT TAKES 12 HOURS

thanku.

sir i cant express in words ,,what you are doing …..still thnxxxxxxx…from my heart……sir plz give advice for prep of NICL AO SEP 2013,SSC 10+2 EXAM,,CPAF,, AND IBPS…….WAITING FOR UR ADVICE…….

Sir,

Thanks for the great articles on different topics. Please advice study plan for IBPS po-3.

Again thanks in advance

sir plz give me study plan of IBPS clerk

HELLO SIR,

GIVE ME GUIDENCE FOR DISCRIPTIVE TEST OF NICL AO EXAM

at what rate percent compound interest does a sum of money becomes ninefold in 2years

its 200%.

1000 after 1 year becomes 3000 which again after 1 year becomes 9000 in CI

in 1 year it becomes 2000 only so the answer is 300%

Hope u know the formula for CI

Sum of money at CI=P*{(1+R\100)^n}

Assuming the sum of money in starting to be Rs.X at R rate of interest, equation becomes

9X=X*{(1+R\100)^2}

or 9=(1+R\100)^2

or 3=1+R\100

or 2=R\100

or R=200% p.a.

Cheers.

What a comprehensive coverage! thanks for this great work

please provide sebi officer grade A exam previous question paper.

thankx sir

nice

Dear Mrunal your process of solving time and work problem was really helpful.Can u plz give the solution of this problem in STD process.A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

Do u mind if I solve this prblm in place of Mrunal? Here’s the solution

We find out the work done in set of three days since A is assisted by B and C on every third day.

A completed work in 20 days, thus his contribution per day will be 1\20 in one day.

Since in these three days A works for all three days, his contribution will be 3*1\20=3\20 of the work

Also since B and C work on only third day, their contribution similarly will be 1\30 and 1\60 of the work.

Hence adding the work done in three days=3\20+1\30+1\60=1\5=0.2 of the work.

Thus this is the portion of work completed in a set of 3 days. Hence to complete the work, 5 such sets will be required (1.2)

hence total number of days will be 5*3=15 days.

Cheers.

your service is very useful for those who r in remote areas where coaching is not available thanks a lot

Mrunal Sir i am preparing for ibps po.Can you plz provide the trick to solve qsns like:-

Q1) 6894.986+5025.005+600.020= ? and

Q2) 40.005% of 439.998+ ?% of 655.011=228.5

in a quick way.

Sir, thanks for providing with these superb material. sir, what i’ve wanted to say, is if you can provide some RCs on Paper 2 of prelims for the practice. or you can suggest some sites where one can find free RCs for prparation. I’ve given 2 attempts but both time i couldn’t clear the Prelims. as much i’ve analysed, i’m lagging in Paper 2. Sir, kindly please do provide something on this.

sir,firstly i want to say thank you,,,because you maintained a nice site and it it fully updated,i am saying fully because u seem to do a lot of work on it.i had given the recent exam of ibps rrb but i was confused to whether i have to attempt english or hindi or both,and i asked invigilator but he doesn’t gives the satisfactry answer but till then i have attempted 182 questions out of 240.i don’t think that i will select but due to lack of information i faced a huge problem,so i want to thanks again to you to maintain this site and providing information about all the topic,,,keep it sir,,,your work is best as i seemed,,its time 2:00 am and till now i am writing because or your good site,,appreciated work…keep it up…

mrunal sir i need a solution of how to find values from these kind of questions quickly..

x+1/x=3 then x^3+1/x^3=?

similarly

x+1/x is not equal to 0 then (x+1/x)^4=?

plz give me a solution sir..

Pls read the formula for (a+b)^3 = a^3 + b^3 + 3ab(a+b)

Appying it here,

(x + 1\x)^3=3^3

x^3 + 1\x^3 + 3*x*1\x(x + 1\x)=27

x^3 + 1\x^3 +3(x + 1\x)=27

x^3 + 1\x^3 +3*3=27

x^3 + 1\x^3=27-9

x^3 + 1\x^3=18

The problem is not clear, needs correction

Cheers

sir,

plz. give me data entry operator Quantitative Aptitude all formulas……..

When X is subtracted from the numbers 9,15,27,the remainders are in continued proportion. what is the value of X?

Considering u know what is Continued proportion

Decrease 3 from all the numbers. The remainders will be 6, 12 and 24 which are in continued proportion as 6:12:24 where the ration of 6:12 and 12:24 is same.

Cheers

Considering u know what is Continued proportion

Subtract 3 from all the numbers. The remainders will be 6, 12 and 24 which are in continued proportion as 6:12:24 where the ration of 6:12 and 12:24 is same.

Cheers

Please solve-

A drawer holds 4 red hats and 4 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and returning each hat before taking out the next one?

(a) 1/8

(b) 1/4

(c) 1/2

(d) 3/8

(e) 7/12

gdmng sir

myself sunil , i have scored 80,78,70 %ge in 10th 12th nd graduation respectively.. now m doing noth plz suggest me some good courses. (m a science studnt). m very weak in english ..help me sir

very helpful material sir

hi Mrunal sir

my Mathematical skills are poor (fundas are not clear to me). so poor that i have developed a phobia for quantitative aptitude section. this is one thing i want to change in myself. i request you to kindly recommend a book or a web-source (if any) that can help me improve faster so that i can at least attempt questions when i take the exam. shortcut tricks from the zilch. Please…this requires an urgent reply.

mrunal bhayya give article on geometry in our style plz

sir,can u suggest to calculate number of triangles or squares in a given figure[shortest method],without counting it.

how to prepare foe nicl ao exam plz help