XAT 2024: Important formulas and topics to brush up at last-minute

XAT 2024 Syllabus

XAT Important Topics

Verbal and Logical Ability

Reading Comprehension, Vocabulary, Parajumble, Grammar, Analogy, Fill in the Blanks, etc.

Decision Making

Data Arrangement, Assumptions, Premises, Conditioning, Grouping, Complex Arrangement, Conclusions, etc.

Quantitative Ability & Data Interpretation

Arithmetic, Data Interpretation, Geometry, Bar Diagrams, Mensuration, Percentage, Surds and Indices, Algebra, Mensuration, Pie Charts, Tables, etc.

General Knowledge

Science, Prize and Award, Economy, Government, Business, Politics, Static GK, Sports, World, Constitution of India, etc.

XAT 2024 Formula Topics

XAT Formulas

Basic Mathematical Formulas

• (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)
• (a + b)n = an + (nC1)an-1b + (nC2)an-2b² + … + (nCn-1)abn-1 + bn

Number System

• (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)

LCM and HCF

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

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

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)

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

Average Formula

• 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:
• Compound Interest = [P(1+i)n] - P
• Compound Interest = P[(1+i)n-1]