WBJEE problems

855 problems for WBJEE 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 SystemsGeometryCoordinate GeometryTrigonometryStatistics and ProbabilityFunctions and CalculusVectors and Three-Dimensional Geometry

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↺ Reset filtersSortMixedNewest firstOldest firstA to Z198 problems

Type:AnyConceptualNumerical

1.

A transport office studies how long 70 passengers waited for a bus at one stop on a busy morning… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

2.

A coaching centre grouped the scores of 50 students in a practice test, out of 100… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

3.

A teacher marks five short tests out of 10… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

4.

A raffle uses n tickets, numbered in an arithmetic sequence: the first ticket is numbered 5, and… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Advanced

5.

A weather station records the noon temperature on many days of a month… New

High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

6.

An exam board checks the marks of 25 candidates… New

High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

7.

A researcher measures the same quantity in two groups of 50 people each… New

High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Advanced

8.

A weather station records the daily rainfall, in millimetres, on twelve days of a month: 2, 3, 3… New

High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

9.

The scores of a large group in an aptitude test have a first quartile of 40, a median of 50 and a… New

High School (11–12) · StatisticsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

10.

A health clinic records the heights, in centimetres, and masses, in kilograms, of six teenagers… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

11.

A study of two variables gives the two regression lines 6x - 5y + 10 = 0 and 10x - 3y - 26 = 0… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

12.

The regression lines of y on x and of x on y for some data have the correlation r = 0.6, with σx =… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Advanced

13.

A farmer records the number of days x since a seedling was planted and its height y in centimetres… New

High School (11–12) · StatisticsJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

14.

A club runs a dice game at its open day… New

High School (11–12) · Random Variables and Probability DistributionsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

15.

An inspector tests 8 items from a production line… New

High School (11–12) · Random Variables and Probability DistributionsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

16.

A call centre knows that each call to its helpline is answered at the first ring with probability… New

High School (11–12) · Random Variables and Probability DistributionsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

17.

A shooter hits a target with probability 0.4 on each shot, independently of the other shots… New

High School (11–12) · Random Variables and Probability DistributionsJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Advanced

18.

In a school, 55% of the students learn French and 40% learn Spanish… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

19.

An urn holds 5 red balls and 3 white balls… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

20.

Three fair coins are tossed. Let A be the event that the first and second coins show the same face… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Hard

21.

Anil and Bela play a game with one fair die… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE AdvancedAPA-Level+26APA-LevelIBStemPy Lab

Advanced

22.

A science club has two urns. Urn I holds 5 red balls and 3 black balls… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

23.

A health authority screens a population for a rare condition… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

24.

A trace left at a scene is traced to a town of 20 000 people… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Hard

25.

In a game, a prize is hidden behind one of five doors, chosen at random… New

High School (11–12) · Conditional Probability and Bayes' TheoremJEE MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Advanced