MET (Manipal) problems

2407 problems for MET (Manipal) 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 Z494 problems

Type:AnyConceptualNumerical

1.

A shop records the time that 60 customers spend at the counter… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

2.

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 MainAPA-Level+26APA-LevelIBStemPy Lab

Hard

3.

A farm packs eggs in baskets and records how many eggs each basket holds… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

4.

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

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

Hard

5.

A clinic records how long each of 20 patients spent with the doctor… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

6.

A teacher marks five short tests out of 10… New

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

Hard

7.

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

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

Advanced

8.

A biology student measures the heights of six bean seedlings, in centimetres: 5, 7, 8, 12, 13 and… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

9.

A test was marked out of 60. The marks have a mean of 45 and a standard deviation of 6… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

10.

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

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

Hard

11.

A gardener measures the height of seedlings in two plots, in centimetres… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

12.

An exam board checks the marks of 25 candidates… New

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

Hard

13.

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

14.

A shop records the number of customers who came in on 11 different days: 22, 25, 27, 30, 31, 34… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

15.

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

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

Hard

16.

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 MainAPA-Level+26APA-LevelIBStemPy Lab

Hard

17.

A researcher records the age x of eight cars, in years, and the repair cost y of each in hundreds… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

18.

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

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

Hard

19.

Two judges rank six paintings in a school art show, with 1 for the best… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

20.

A shop records the price x of an item in rupees tens, and the number sold y in a week, at six… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

21.

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 MainAPA-Level+26APA-LevelIBStemPy Lab

Hard

22.

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 MainJEE AdvancedAP+27APA-LevelIBStemPy Lab

Advanced

23.

A dealer records the age x of six cars in months and the value y of each in hundreds of pounds: x =… New

High School (11–12) · StatisticsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium

24.

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 MainAPA-Level+26APA-LevelIBStemPy Lab

Hard

25.

Two cards are dealt from a well-shuffled pack of 52 cards, one after the other, without replacement… New

High School (11–12) · Random Variables and Probability DistributionsAPA-LevelIB+19APA-LevelIBStemPy Lab

Medium