All quantitative, logical, and verbal aptitude formulas in one place — used in TCS NQT, Infosys, Wipro, Cognizant, Accenture placement tests.
Basic Formulas:
Increase/Decrease:
Successive Changes:
⚡ Quick Tricks:
Basic Rules:
Advanced Properties:
Partnership & Mixture:
💡 Example:
If A:B = 2:3 and B:C = 4:5, find A:B:C
→ Make B equal: A:B = 8:12 and B:C = 12:15 → A:B:C = 8:12:15
Fundamental Formula:
Conversion Formulas:
Average Speed:
Relative Speed:
Trains & Platforms:
Boats & Streams:
⚡ Quick Trick:
If speed increases by x%, time decreases by [x/(100+x)] × 100%
Example: Speed ↑ 20% → Time ↓ 20/120 × 100 = 16.67%
Basic Formulas:
Finding SP & CP:
Marked Price & Discount:
Special Cases:
💡 Common Mistake:
If CP increases by 25% and you want to maintain same profit %, SP must also increase by 25% (not by the profit %)
Simple Interest (SI):
Compound Interest (CI):
Difference between CI & SI:
Installment Formula:
⚡ Quick Calculation:
CI for 2 years = SI for 2 years + (SI for 1 year)²/(Principal)
Example: If SI for 1 year = ₹100, P = ₹1000 → CI for 2 years = ₹200 + (100²/1000) = ₹210
Basic Formulas:
Combined Work:
Pipes & Cisterns:
💡 Example:
A can do work in 10 days, B in 15 days. Together = (10×15)/(10+15) = 150/25 = 6 days
Key Approach:
⚡ Common Pattern:
"n years ago, ratio was x:y" → Assume current ages as a and b
Then: (a-n)/(b-n) = x/y → Cross multiply and solve
Basic Formulas:
Special Cases:
⚡ Quick Trick:
If average increases by x when a new number is added, the new number = Old average + x × (New count)
Parent Generation:
Children Generation:
Grandparent Generation:
⚡ Trick: Gender matters!
"Only son of my father" = myself (if male)
"Only daughter of my father" = myself (if female)
Letter Shifting:
Position Values:
Common Patterns:
💡 Example:
If CAT = DBU, find DOG
→ Each letter +1 → EPH
Valid Conclusions:
Conversion Rules:
⚡ Tip:
Draw Venn diagrams for complex cases!
Check if conclusion is true in ALL possible cases
Linear Arrangement:
Circular Arrangement:
Approach:
💡 Circular Tip:
In circular: "opposite" = (n/2) positions away
Common Patterns:
Advanced Patterns:
⚡ Trick:
Check differences between consecutive terms first!
Basic Directions:
Turning Rules:
Shadow Rules:
💡 Tip:
Draw a compass diagram for complex problems!
Subject-Verb Agreement:
Tense Rules:
Common Errors:
Before Reading:
While Reading:
Answering:
Finding Opening Sentence:
Connectors & Transition Words:
Finding Concluding Sentence:
Strategy:
Common Root Words:
Common Prefixes:
Strategy:
TCS NQT
25 Quant + 25 Verbal + 25 Reasoning
Infosys
15 Quant + 15 Logical + 10 Verbal
Wipro WILP
20 Quant + 20 Analytical + 20 Verbal
Cognizant GenC
30 Numerical + 20 Reasoning + 20 Verbal
Accenture
40 MCQs (Quant, Logical, English)
Capgemini
40 Technical + 30 Communication MCQs
Problem 1: Time & Work
A can complete a work in 10 days, B in 15 days. In how many days can they complete it together?
Solution: (10×15)/(10+15) = 150/25 = 6 days
Problem 2: Percentage
Price increased by 25%, then decreased by 20%. Net change?
Solution: 25 - 20 - (25×20)/100 = 25 - 20 - 5 = 0% (no change)
Problem 3: Speed
Convert 72 km/h to m/s.
Solution: 72 × 5/18 = 20 m/s
Problem 1: Coding
If CAT = DBU, then DOG = ?
Solution: Each letter +1 → EPH
Problem 2: Blood Relations
A's father's brother's daughter is A's?
Solution: Father's brother = Uncle, Uncle's daughter = Cousin
Problem 3: Series
2, 5, 10, 17, 26, ?
Solution: +3, +5, +7, +9, +11 → 37
🎯 Pro Tip:
Always solve easy questions first (2 mins each), then medium (3 mins), then hard (5 mins). This ensures you maximize your score even if time runs out!