medium6 marks

Quantitative Aptitude

Data interpretation, graphs, plots, maps, tables, numerical computation, ratios, percentages, powers, exponents, logarithms, permutations and combinations, series, mensuration, geometry, elementary statistics, probability.

15 Topics

20h prep

40% subject weight

15 Topics

Data interpretation

Analyze data from tables, charts, graphs to answer questions.

1m2/10

📌 Key FormulaPercentage change, ratio, average.

Data graphs

Bar graphs, pie charts, line graphs, scatter plots.

1m1/10

📌 Key FormulaPercent of total in pie chart.

2- and 3-dimensional plots

Plots for two or three variables.

1/10

Maps

Geographical or abstract maps for data visualization.

1/10

Tables

Reading tabular data, row/column analysis.

1m1/10

Numerical computation and estimation

Basic arithmetic, approximation, order of operations.

1/10

Ratios

Comparison of two quantities; proportion.

1m1/10

📌 Key Formulaa:b = c:d => ad = bc.

Percentages

Percent calculation, increase/decrease, profit/loss.

1m1/10

📌 Key FormulaNew = old * (1 ± p%).

Powers

Exponentiation, square, cube, etc.

1/10

📌 Key Formulaa^m * a^n = a^{m+n}.

Exponents and logarithms

Logarithm properties, change of base, solving equations.

2/10

📌 Key Formulalog(ab)=log a+log b; log(a/b)=log a-log b; log a^b = b log a.

Permutations and combinations

Counting arrangements (order matters) and selections (order does not matter).

1m2/10

📌 Key FormulanPr = n!/(n-r)!, nCr = n!/(r!(n-r)!).

Series

Arithmetic progression, geometric progression, sum of series.

1/10

📌 Key FormulaAP: a_n = a+(n-1)d, sum = n/2(2a+(n-1)d). GP: a_n = ar^{n-1}, sum = a(1-r^n)/(1-r).

Mensuration and geometry

Area, perimeter, volume of 2D/3D shapes. Basic geometry concepts.

1/10

📌 Key FormulaCircle area = πr^2, rectangle area = lw, triangle area = 1/2 bh. Sphere volume = 4/3 πr^3.

Elementary statistics

Mean, median, mode, range, standard deviation basics.

1/10

Probability

Basic probability, conditional probability, independent events.

1m2/10

📌 Key FormulaP(event) = favorable/total.

medium6 marks

Quantitative Aptitude

15 Topics

20h prep

40% subject weight

15 Topics

Data interpretation

Analyze data from tables, charts, graphs to answer questions.

1m2/10

📌 Key FormulaPercentage change, ratio, average.

Data graphs

Bar graphs, pie charts, line graphs, scatter plots.

1m1/10

📌 Key FormulaPercent of total in pie chart.

2- and 3-dimensional plots

Plots for two or three variables.

1/10

Maps

Geographical or abstract maps for data visualization.

1/10

Tables

Reading tabular data, row/column analysis.

1m1/10

Numerical computation and estimation

Basic arithmetic, approximation, order of operations.

1/10

Ratios

Comparison of two quantities; proportion.

1m1/10

📌 Key Formulaa:b = c:d => ad = bc.

Percentages

Percent calculation, increase/decrease, profit/loss.

1m1/10

📌 Key FormulaNew = old * (1 ± p%).

Powers

Exponentiation, square, cube, etc.

1/10

📌 Key Formulaa^m * a^n = a^{m+n}.

Exponents and logarithms

Logarithm properties, change of base, solving equations.

2/10

📌 Key Formulalog(ab)=log a+log b; log(a/b)=log a-log b; log a^b = b log a.

Permutations and combinations

Counting arrangements (order matters) and selections (order does not matter).

1m2/10

📌 Key FormulanPr = n!/(n-r)!, nCr = n!/(r!(n-r)!).

Series

Arithmetic progression, geometric progression, sum of series.

1/10

📌 Key FormulaAP: a_n = a+(n-1)d, sum = n/2(2a+(n-1)d). GP: a_n = ar^{n-1}, sum = a(1-r^n)/(1-r).

Mensuration and geometry

Area, perimeter, volume of 2D/3D shapes. Basic geometry concepts.

1/10

📌 Key FormulaCircle area = πr^2, rectangle area = lw, triangle area = 1/2 bh. Sphere volume = 4/3 πr^3.

Elementary statistics

Mean, median, mode, range, standard deviation basics.

1/10

Probability

Basic probability, conditional probability, independent events.

1m2/10

📌 Key FormulaP(event) = favorable/total.