Important QA and DILR topics and formula revision guide for CAT exam

The Common Admission Test or CAT exam is all set to commence on Sunday, November 26. Reportedly, more than 3 lakh aspirants will be sitting for the exam in over 150 centres across the country. CAT is one of the most challenging exams, held each year for about 5,000 seats in the prestigious Indian Institutes of Management.
As the exam date draws closer, aspirants are intensifying their revision strategies for the various sections of CAT syllabus.The CAT 2023 exam is expected to consist of 66 questions divided into three sections: Verbal Ability and Reading Comprehension (VARC), Data Interpretation and Logical Reasoning (DILR), and Quantitative Ability (QA), all of which must be completed in 120 minutes. Here are some important topics and formulae from these sections that you must revise at the last moment.
Important topics QA
The CAT QA section typically has 22 to 24 questions, with a time limit of 40 minutes. Here are a few topics you must cover during your revision session:

  • Time and Work
  • Permutation & Combination, Probability
  • Compound and Simple Interests
  • Profit, loss, and Discounts
  • Time, Speed, and Distance
  • Trigonometry, Logarithms, and Sets
  • Number System, Basic Arithmetic
  • Geometry & Mensuration
  • Algebra

Key topics from DILR
The DILR section has 20 questions that are required to be completed in a duration of 60 minutes. Consider the following list of topics for your last-minute revision:

  • Blood Relations
  • Clocks & Calendars
  • Puzzles
  • Assumption and Binary Logic
  • Data Sufficiency
  • Syllogisms and Venn Diagrams
  • Graphs Related
  • Tables and Caselets
  • Seating Arrangement, and Data Arrangement

Important formulae
The Quantitative Aptitude part of the CAT 2023 tests conceptual grasp of mathematical concepts and theories. Hence, CAT QA necessitates the use of specific arithmetic formulas in order to answer the questions quickly and accurately. Before sitting for the CAT exam, review these key formulae for your ready reference.
Formulas 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/10

Formulas related to LCM and HCF

  • LCM × HCF = Product of the Numbers
  • LCM of Co-prime Numbers = Product Of The Number

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

Basic mathematical formulae

  • (a + b)² = (a² + b² + 2ab)
  • (a – b)² = (a² + b² – 2ab)
  • (a + b)(a – b) = (a² – b²)
  • (a + b)² = (a² + b² + 2ab)
  • (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)

Logarithm formulae

  • 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
  • The logarithm of a Product (log a pq = log a p + loga q)
  • The 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)

Time and Work formulas (Basic formulae)

  • 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= is 1/n, then X can finish the work in n days.

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