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Important Formulas for CAT Preparation - Proceeding further towards CAT important formulas, lets get familiar with the “Importance of CAT Formulas”. When it comes to CAT preparation basically for the Quantitative Aptitude section, the most important aspect is remembering the formulas and theorems and by knowing such key formulas one will get to know when and how to apply them. Thus, it becomes more important that a candidate will have to be well versed with the basic formulas as it is required to solve the questions with good speed and accuracy rate. The questions in the QA section are from various topics such as Profit, Loss and Discount, Number System, Time and Work, LCM and HCF, Logarithm, Averages, Set theory & Function, Probability, Permutation & Combination, Trigonometry, Mensuration, Coordinate Geometry, etc. Formulae are the basic and indispensable part to ace the quantitative section in the CAT. They may be proved to be an elixir to the section, if one does their preparation in an appropriate manner. So as one starts their CAT 2020 preparation, here is the list of important formulae that one needs to master to crack the Common Admission Test successfully.
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CAT 2020 Basic Mathematical Formulas
(a + b)² = (a² + b² + 2ab)
(a – b)² = (a² + b² – 2ab)
(a + b)(a – b) = (a² – b²)
(a³ – b³) = (a – b)(a² + ab + b²)
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
(a³ + b³) = (a + b)(a² – ab + b²)
When a + b + c = 0, then a³ + b³ + c³ = 3abc
(a³ + b³ + c³ – 3abc) = (a + b + c)(a² + b² + c² – ab – bc – ac)
(a + b)n = an + (nC1)an-1b + (nC2)an-2b² + … + (nCn-1)abn-1 + bn
CAT Important Formulas for Number System
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(1² + 2² + 3² + ….. + n²) = n ( n + 1 ) (2n + 1) / 6
1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
(1³ + 2³ + 3³ + ….. + n³) = (n(n + 1)/ 2)²
Sum of first n odd numbers = n²
Sum of first n even numbers = n (n + 1)
Formulas for LCM and HCF
LCM × HCF = Product of the Numbers
LCM of Co-prime Numbers = Product Of The Numbers
Mathematical Formulas for Profit, Loss and Discount
Profit % = Profit/(C P)×100
Profit/Gain = (S.P.) – (C.P.)
C P = 100/(100+gain %)×S P
S P = (100+gain % )/100 ×C P
Loss % = Loss/(C.P.)×100
Loss = (C.P.) – (S.P.)
C P = 100/(100-loss %)×S P
S P = (100-loss %)/100×C P
Formulae for Percentages
Find what percentage of X is Y: Y/X x 100
Increase N by S% = N(1+S/100)
Decrease N by S% = N(1 - S/100)
Important Formulas for Speed, Time and Distance
Speed= Distance/ Time
Distance= Speed x Time
Time= Distance/ Time
Time and Work Formulas (Basic Formulas)
If X can do a piece of work in ‘n’ days, then X’s 1 day’s work= 1/n
If X’s 1 day’s work= 1/n, then X can finish the work in n days.
Average= Sum of observations/ Number of observations
Simple and Compound Interest Formula
Simple Interest: P x i x n (P= Principle, i= interest rate and n= term of the loan)
Compound Interest = [P(1+i)n] - P
Compound Interest = P[(1+i)n-1]
Mathematical Logarithm Formulas
If n and a are positive real numbers, and a is not equal to 1, then If ax = n, then log a n = x
log of 1 to any base is 0 (log b 1 = 0)
log of any number to base as itself is 1, log a a = 1
Logarithm of a Product (log a pq = log a p + loga q)
Logarithm of a Fraction (log a (p/q) = log a p – log a q)
log a pn = n log a p
a(log a p) = p
Base Change Rule of Logarithms: (log a n = log b n × log a b)
CAT 2020 Trigonometry Formulas
The reciprocal identities are given as
Mathematical Mensuration Formulas
Area = lb
Perimeter = 2(l+b)
Perimeter = 4a
Area = a×a
Area =b×h/2 or √s(s-a)(s-b)(s-c)…………….where s=a+b+c/2
Volume: V = l3
Surface Area: S = 6s2
Diagonal (d) = √3l
Lateral surface area = 4a2
Circumference = 2πr or πd
Area = πr² or πd²/4
Area of sector of a circle = (θπr² )/360
Total surface area = 2 (lb + bh + hl) or 6l2
Volume of cuboid: lbh
Length of diagonal =√(l²+b²+h²)
Formulas for Coordinate Geometry
AB² = (Bx – Ax)² + (By – Ay)²
Midpoint of the line joining the points (x1, y1) and (x2, y2) is:
[½(x1 + x2), ½(y1 + y2)]
CAT 2020 Formulas for Surds and Indices
Mixtures and Allegation Formula
If 2 ingredients are mixed, then
(Quantity of cheaper/ Quantity of dearer) = (C.P of dearer - Mean price/ Mean price - C.P of cheaper)
Permutation and Combination Formula for CAT 2020
Formulas for Set Theory and Function
(A ∩ B) ‘ = A’ U B’ and (A U B)’ = A’ ∩ B’
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You have a pretty average academic score and Some B-schools consider your academics but still Yes you can get into top b-schools, provided you have a percentile in the common admissions test(CAT) too a cat percentile of 98+ for mediocre IIMs and 99+ for the top ones. But you can absolutely forget IIMs- Ahmedabad , Bangalore,v Calcutta,Indore as they focus on acads and you have a very average profile as of now but still there are lots of other factors which govern whether you'll be gettin a call from the top IIMs or not like which company did you work for, if the company is one in which the selection rate is less or the selection criteria is hard, which college you did your undergraduate degree from, which course did you pursue, many other factors which play a role. But it depends also on what course you prusue in your graduation considering you are a student from the commerce/business stream.
Please focus on your undergraduation marks too and do a lot of Internships to improve your profile and hence increase the chances of getting a call.
You can reach out to us for more information regarding admissions entrance tests etc.
Hope it helps.
CAT is the entrance exam for Top B-Schools in India. But now there are other entrance exams as well like MAT,CMAT,XAT,etc for good MBA Colleges.
In Delhi/NCR there are many colleges who take MAT , CMAT score for admissions. some of them are:
IILM UNiversity Gurugram
Appejay school of Management
SGT University etc...
All the universities have started with the admission process, please go through the websites and get all the details.
Yes you for sure can but the amount of hard work you will have to put in will be more. The maths/quants part is pretty basic but is very tricky so it is tricks which you need to understand and apply.
CAT is an exam which tests your practicality and not how much you can learn by rote learning. You can start off by appearing for a mock test conducted free online and assess your performance that'll help you see and judge the areas you need improvement in and then decide if you need coaching or you can go on by yourself. You can either go for self study or Prepare with a tutor. For english prep. You can start off with Word Power Made easy, do this book twice, don't rush but read it and learn for 30-45 mins everyday. For Quants and LR-Di Arun sharma. Giving a mock a week and analyzing your strengths and weakness in terms of topics, score, percentile score and the time you are spending per question is really important.
Do take mocks religiously and you'll see how much it can affect your preparation in a positive manner.
You can read more about cat prep here-
You can reach out to us for more help.
Hope it helps
Yes, there is a possibility for you as you belong to the SC category. But still there are alot of factors taken into consideration while accessing your profile for giving a call for interviews bu top Business schools of India. You have a good chance provided you work on your communication skills and other skills. Also try doing internships and building your profile as these things will affect and may decide if you will be getting a call or not.
Hope it helps,
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