Lesson 7.1: Quantitative Aptitude – Arithmetic, Algebra, Geometry
Quantitative aptitude is a core component of CSAT (Civil Services Aptitude Test), testing numerical ability, problem-solving, and logical thinking.
Arithmetic:
-
Topics: Percentage, Ratio & Proportion, Profit & Loss, Simple & Compound Interest, Time, Speed & Distance, Time & Work.
-
Key Formulas:
-
Simple Interest = P×R×T100\frac{P \times R \times T}{100}
-
Compound Interest = P×(1+R100)T−PP \times \left(1 + \frac{R}{100}\right)^T – P
-
Speed = Distance / Time
-
Algebra:
-
Topics: Linear equations, quadratic equations, inequalities, factors, and algebraic expressions.
-
Example: Solve for xx in 2x+5=152x + 5 = 15 → x=5x = 5
Geometry:
-
Topics: Triangles, Circles, Quadrilaterals, Polygons, Area & Perimeter, Pythagoras theorem.
-
Formulas:
-
Area of Triangle = 12×base×height\frac{1}{2} \times base \times height
-
Circumference of Circle = 2πr2\pi r
-
Key Points for Revision:
-
Focus on formulas and shortcuts for quick calculation
-
Practice solving word problems for real-life applications
-
Time management is crucial during CSAT
Example Question (Prelims Practice):
-
“A train travels 60 km in 1 hour. What is its speed?” → 60 km/h
-
“Solve: 3x – 7 = 11” → x = 6
