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JEE Advanced Mock Test
A timed 25-question mock for the Joint Entrance Examination (Advanced) covering algebra, probability & combinatorics, geometry & mensuration, physics, chemistry. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
JEE Advanced mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
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Q1.AlgebraFind the sum of the first 28 terms of the AP 9, 16, 23, …
Answer: D — 2898
Sₙ = n/2 × [2a + (n − 1)d] = 28/2 × [18 + 189] = 2,898.
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Q2.Probability & CombinatoricsIn how many ways can the letters of the word PLANET be arranged?
Answer: C — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q3.Geometry & MensurationA right triangle has legs 20 cm and 21 cm. Find the hypotenuse.
Answer: A — 29 cm
By Pythagoras, hypotenuse = √(20² + 21²) = √841 = 29.
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Q4.PhysicsAcceleration due to gravity on Earth’s surface is about:
Answer: D — 9.8 m/s²
g ≈ 9.8 m/s².
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Q5.ChemistryThe hardest naturally occurring substance is:
Answer: A — Diamond
Diamond, a carbon allotrope, is the hardest natural material.
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Q6.AlgebraFind the sum of the first 18 terms of the AP 17, 23, 29, …
Answer: B — 1224
Sₙ = n/2 × [2a + (n − 1)d] = 18/2 × [34 + 102] = 1,224.
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Q7.Probability & CombinatoricsIn how many ways can a committee of 4 be chosen from 7 people?
Answer: D — 35
Order does not matter → combinations: 7C4 = 7! / (4!·3!) = 35.
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Q8.Geometry & MensurationFind the volume of a sphere of radius 7 cm (take π = 22/7).
Answer: C — 1,437.33 cm³
Using (4/3)πr³ with π = 22/7: 1,437.33 cm³.
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Q9.PhysicsA body starts at 2 m/s and accelerates uniformly at 4 m/s² for 5 s. Find its final velocity.
Answer: B — 22 m/s
v = u + at = 2 + 4×5 = 22 m/s.
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Q10.Chemistry90 g of NaOH (molar mass 40) is dissolved to make 500 mL of solution. Find the molarity.
Answer: B — 4.5 M
Moles = 90/40 = 2.25; molarity = moles ÷ litres = 2.25 ÷ 0.5 = 4.5 M.
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Q11.AlgebraSolve: 4x + 5y = 30 and 4x + 2y = 24
Answer: D — x = 5, y = 2
Elimination/substitution gives x = 5, y = 2. Check: 4(5) + 5(2) = 30 ✓ and 4(5) + 2(2) = 24 ✓.
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Q12.Probability & CombinatoricsA card is drawn from a well-shuffled deck of 52. What is the probability that it is a king?
Answer: D — 1/13
There are 4 such cards in 52, so P = 4/52 = 1/13.
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Q13.Geometry & MensurationFind the area of a right triangle with legs 9 cm and 12 cm.
Answer: D — 54 cm²
Area = ½ × base × height = ½ × 9 × 12 = 54 cm².
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Q14.PhysicsWhich quantity is a vector?
Answer: C — Velocity
Velocity has magnitude and direction.
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Q15.ChemistryThe chemical formula of common salt is:
Answer: C — NaCl
Common salt is sodium chloride.
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Q16.AlgebraFind the sum of the first 21 terms of the AP 18, 23, 28, …
Answer: C — 1428
Sₙ = n/2 × [2a + (n − 1)d] = 21/2 × [36 + 100] = 1,428.
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Q17.Probability & CombinatoricsIn how many ways can the letters of the word PENCIL be arranged?
Answer: A — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q18.Geometry & MensurationA right triangle has legs 9 cm and 12 cm. Find the hypotenuse.
Answer: D — 15 cm
By Pythagoras, hypotenuse = √(9² + 12²) = √225 = 15.
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Q19.PhysicsA body with initial velocity 19 m/s accelerates at 5 m/s² for 10 s. Find the distance covered.
Answer: D — 440 m
s = ut + ½at² = 19×10 + ½×5×10² = 440 m.
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Q20.Chemistry10 g of HCl (molar mass 36.5) is dissolved to make 250 mL of solution. Find the molarity.
Answer: B — 1.096 M
Moles = 10/36.5 = 0.274; molarity = moles ÷ litres = 0.274 ÷ 0.25 = 1.096 M.
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Q21.AlgebraFind log₃ 9.
Answer: C — 2
log_3(9) asks “3 to what power gives 9?” → 3^2 = 9, so the answer is 2.
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Q22.Probability & Combinatorics4 fair coins are tossed. What is the probability of at least one head?
Answer: C — 15/16
P(no head) = (1/2)^4 = 1/16; P(at least one head) = 1 − 1/16 = 15/16.
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Q23.Geometry & MensurationFind the volume of a sphere of radius 21 cm (take π = 22/7).
Answer: A — 38,808 cm³
Using (4/3)πr³ with π = 22/7: 38,808 cm³.
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Q24.PhysicsA transformer works on the principle of:
Answer: A — Mutual induction
A changing current in one coil induces a voltage in the other.
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Q25.ChemistryThe noble gas used in advertising signs that glows red-orange is:
Answer: C — Neon
Neon glows red-orange in discharge tubes.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (many Indian exams deduct ¼ or ⅓ of a mark — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
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.
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 |