JEE Main problems

77 problems for JEE Main practice, in Physics, Chemistry and Mathematics, each with a worked solution. Try each one on paper first, then check your answer.

All SubjectsPhysicsChemistryMathematicsBiologyPython ProgrammingStatistics & Data Science

All LevelsHigh School (9–10)High School (11–12)General

All TopicsAlgebraNumber SystemsCoordinate GeometryTrigonometryFunctions and Calculus

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Type:AnyConceptualNumerical

1.

All the arrangements of the letters of TIGER are listed in dictionary order. New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board ExamStemPy Lab

Hard

2.

There are 15 points in a plane. Exactly 6 of them lie on one straight line, and no other three are… New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board ExamStemPy Lab

Medium

3.

Three neighbours in a row of Pascal's triangle, ⁿC_(r - 1), ⁿCr and ⁿC_(r + 1), are in the ratio 1… New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board ExamStemPy Lab

Hard

4.

The equation x² + px + q = 0 has real p and q. New

High School (11–12) · Complex Numbers, Quadratic EquationsJEE Main, BITSAT, WBJEE, Board Exam, A-Level, IBStemPy Lab

Hard

5.

Find the period of f(x) = |sin x| + |cos x|. New

High School (11–12) · Trigonometric Functions and GraphsJEE Main, BITSAT, WBJEE, GaokaoStemPy Lab

Hard

6.

How many real solutions does the equation sin x = x/10 have? New

High School (11–12) · Trigonometric Functions and GraphsJEE Main, BITSAT, WBJEEStemPy Lab

Hard