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JEE Advanced Practice Questions
Original practice questions for the Joint Entrance Examination (Advanced) (IITs (organising IIT rotates each year)), mixed across 5 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
JEE Advanced mixed practice
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Q1.AlgebraSolve: 5x + 4y = 43 and 5x + y = 52
Show answer & explanation
Answer: B — x = 11, y = -3
Elimination/substitution gives x = 11, y = -3. Check: 5(11) + 4(-3) = 43 ✓ and 5(11) + 1(-3) = 52 ✓.
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Q2.Probability & CombinatoricsIn how many ways can the letters of the word ORANGE be arranged?
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Answer: C — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q3.Geometry & MensurationFind the distance between (-4, -4) and (4, 11).
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Answer: D — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
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Q4.PhysicsThe speed of light in vacuum is approximately:
Show answer & explanation
Answer: A — 3 × 10⁸ m/s
c ≈ 2.998 × 10⁸ m/s.
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Q5.ChemistryThe periodic table is arranged in order of increasing:
Show answer & explanation
Answer: B — Atomic number
The modern periodic table orders elements by atomic number.
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Q6.AlgebraSolve: x² − 2x − 48 = 0
Show answer & explanation
Answer: D — -6, 8
Find two roots with sum 2 and product -48: 8 and -6. So x² − 2x − 48 = (x − 8)(x + 6) = 0.
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Q7.Probability & CombinatoricsA card is drawn from a well-shuffled deck of 52. What is the probability that it is a red card?
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Answer: A — 1/2
There are 26 such cards in 52, so P = 26/52 = 1/2.
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Q8.Geometry & MensurationA right triangle has legs 6 cm and 8 cm. Find the hypotenuse.
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Answer: D — 10 cm
By Pythagoras, hypotenuse = √(6² + 8²) = √100 = 10.
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Q9.PhysicsA body with initial velocity 14 m/s accelerates at 5 m/s² for 7 s. Find the distance covered.
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Answer: A — 220.5 m
s = ut + ½at² = 14×7 + ½×5×7² = 220.5 m.
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Q10.ChemistryWhat is the pH of a solution with [OH⁻] = 10⁻¹ mol/L at 25 °C?
Show answer & explanation
Answer: D — 13
[OH⁻] = 10⁻¹ → pOH = 1; pH = 14 − 1 = 13 (at 25 °C).
About JEE Advanced
Joint Entrance Examination (Advanced) — conducted by IITs (organising IIT rotates each year). The entrance exam for undergraduate programmes at the Indian Institutes of Technology.
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.
- Probability & Combinatorics questions — Probability = favourable ÷ total outcomes.
- Geometry & Mensuration questions — Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)).
- Physics questions — Write the formula before substituting and keep SI units throughout.
- Chemistry questions — Moles = mass ÷ molar mass; molarity = moles ÷ litres.
- JEE Advanced mock test — 25 timed questions with negative marking.
JEE Advanced practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |