Board Exam problems

1919 problems for Board Exam practice, each with a worked solution. Try each one on paper first, then check your answer.

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1.

A refrigerator keeps its inside at 4 °C in a kitchen at 32 °C.

High School (11–12) · Heat Engines, the Second Law and EntropyJEE Main, NEET, BITSAT, WBJEE, Board ExamStemPy Lab

Medium

2.

For N₂O₄(g) ⇌ 2NO₂(g), Δ H° = +57.2 kJ/mol and Δ S° = +175.8 J/(K mol). New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-Level, IBStemPy Lab

Hard

3.

How many 4-letter words, with or without meaning, can be made from the letters of EDUCATION, if… New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board Exam, A-Level, IB, GaokaoStemPy Lab

Medium

4.

A pigeon and a garden lizard rest on the same roof. New

High School (11–12) · Chordates and VertebratesNEET, Board ExamStemPy Lab

Hard

5.

Ravi's program builds the table with the column names symbol, z, group, period, block, radius, ie… New

High School (11–12), High School (9–10), Undergraduate, General · Chemistry by Computer, Data Analysis with pandasBoard ExamStemPy Lab

Medium

6.

A Carnot engine works between 450 K and 306 K.

High School (11–12) · Heat Engines, the Second Law and EntropyJEE Main, NEET, BITSAT, WBJEE, Board Exam, IBStemPy Lab

Medium

7.

A reaction has K = 2.5 × 10⁻³ at 500 K. Find Δ G° at this temperature. New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityNEET, Board Exam, AP, A-Level, IBStemPy Lab

Medium

8.

A team of 11 is picked from 15 players, who include Kiran and Joseph. New

High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy Lab

Medium

9.

Place each animal in its class and say what makes it unusual for that class: Ornithorhynchus… New

High School (11–12) · Chordates and VertebratesNEET, Board ExamStemPy Lab

Medium

10.

A table indexed by symbol is t = df.set_index("symbol"). New

High School (11–12), High School (9–10), Undergraduate, General · Chemistry by Computer, Data Analysis with pandasBoard ExamStemPy Lab

Easy

11.

An engine takes 4200 J of heat from its hot reservoir each cycle and gives 2940 J to the cold one.

High School (11–12) · Heat Engines, the Second Law and EntropyBoard Exam, IBStemPy Lab

Easy

12.

At 298 K a reaction has Δ G° = -17.1 kJ/mol. New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityNEET, Board Exam, AP, A-Level, IBStemPy Lab

Medium

13.

A committee of 5 is chosen from 6 men and 5 women. How many committees have at least 2 women? New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board Exam, A-Level, IB, GaokaoStemPy Lab

Medium

14.

A small zoo has 12 fishes in its aquarium, 5 frogs, 4 tortoises, 2 crocodiles, 7 pigeons and 3 deer. New

High School (11–12) · Chordates and VertebratesNEET, Board ExamStemPy Lab

Medium

15.

Of the first 36 elements, the halogens are fluorine (64 pm), chlorine (99 pm) and bromine (114 pm). New

High School (11–12), High School (9–10), Undergraduate, General · Chemistry by Computer, Data Analysis with pandasBoard ExamStemPy Lab

Easy

16.

A gas goes round a cycle of three steps.

High School (11–12) · Heat Engines, the Second Law and EntropyJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, IB, GaokaoStemPy Lab

Medium

17.

Four reactions have these signs. (a) Δ H < 0, Δ S > 0. New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityBoard Exam, AP, A-Level, IBStemPy Lab

Easy

18.

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

19.

In the damp soil of a Kerala garden, Anu finds a long animal with no legs. New

High School (11–12) · Chordates and VertebratesNEET, Board ExamStemPy Lab

Hard

20.

In units of the Earth, the density of a planet is its mass divided by the cube of its radius.

High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandasBoard ExamStemPy Lab

Medium

21.

Say whether each process is nearly reversible or irreversible, and give a reason.

High School (11–12) · Heat Engines, the Second Law and EntropyNEET, Board ExamStemPy Lab

Medium

22.

Magnesium carbonate decomposes: MgCO₃(s) → MgO(s) + CO₂(g), with Δ H° = +117.6 kJ/mol and Δ S° =… New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityNEET, Board Exam, AP, A-Level, IBStemPy Lab

Medium

23.

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

24.

How many gill openings would you see on one side of the head of a lamprey with 7 pairs of gill… New

High School (11–12) · Chordates and VertebratesNEET, Board ExamStemPy Lab

Medium

25.

Make a table of the eight planets with the columns name, kind (the first four are rocky, the last…

High School (11–12), High School (9–10), Undergraduate, General · Data Analysis with pandasBoard ExamStemPy Lab

Medium