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JEE Main Practice Questions
Original practice questions for the Joint Entrance Examination (Main) (National Testing Agency (NTA)), mixed across 5 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
JEE Main mixed practice
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Q1.AlgebraFind log₅ 3,125.
Show answer & explanation
Answer: A — 5
log_5(3125) asks “5 to what power gives 3125?” → 5^5 = 3125, so the answer is 5.
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Q2.Geometry & MensurationFind the volume of a cone with radius 14 cm and height 17 cm (take π = 22/7).
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Answer: A — 3,490.67 cm³
Using ⅓πr²h with π = 22/7: 3,490.67 cm³.
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Q3.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 4?
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Answer: B — 1/12
3 of the 36 equally likely outcomes give a sum of 4, so P = 3/36 = 1/12.
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Q4.PhysicsThe device that converts mechanical energy into electrical energy is a:
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Answer: C — Generator
A generator uses electromagnetic induction.
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Q5.ChemistryWhich gas is produced when zinc reacts with dilute hydrochloric acid?
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Answer: C — Hydrogen
Zn + 2HCl → ZnCl₂ + H₂.
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Q6.AlgebraSolve: x + 3y = 37 and 2x + y = 29
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Answer: A — x = 10, y = 9
Elimination/substitution gives x = 10, y = 9. Check: 1(10) + 3(9) = 37 ✓ and 2(10) + 1(9) = 29 ✓.
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Q7.Geometry & MensurationA right triangle has legs 6 cm and 8 cm. Find the hypotenuse.
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Answer: B — 10 cm
By Pythagoras, hypotenuse = √(6² + 8²) = √100 = 10.
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Q8.Probability & CombinatoricsIn how many ways can a committee of 2 be chosen from 12 people?
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Answer: D — 66
Order does not matter → combinations: 12C2 = 12! / (2!·10!) = 66.
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Q9.PhysicsWhat force is needed to accelerate a 4 kg mass at 2 m/s²?
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Answer: A — 8 N
F = ma = 4 × 2 = 8 N.
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Q10.ChemistryWhat is the mass of 2.5 mol of calcium carbonate (CaCO₃)? (Molar mass 100 g/mol)
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Answer: D — 250 g
Mass = moles × molar mass = 2.5 × 100 g/mol = 250 g.
About JEE Main
Joint Entrance Examination (Main) — conducted by National Testing Agency (NTA). India’s national engineering entrance for NITs, IIITs and other institutes, and the qualifier for JEE Advanced.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
Practise by topic
- Algebra questions — Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution.
- Geometry & Mensuration questions — Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)).
- Probability & Combinatorics questions — Probability = favourable ÷ total outcomes.
- Physics questions — Write the formula before substituting and keep SI units throughout.
- Chemistry questions — Moles = mass ÷ molar mass; molarity = moles ÷ litres.
- JEE Main mock test — 25 timed questions with negative marking.
JEE Main practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |