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JEE Main Mock Test
A timed 25-question mock for the Joint Entrance Examination (Main) covering algebra, geometry & mensuration, probability & combinatorics, physics, chemistry. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
JEE Main 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.AlgebraSolve: x² − 2x − 3 = 0
Answer: D — -1, 3
Find two roots with sum 2 and product -3: 3 and -1. So x² − 2x − 3 = (x − 3)(x + 1) = 0.
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Q2.Geometry & MensurationA right triangle has legs 6 cm and 8 cm. Find the hypotenuse.
Answer: B — 10 cm
By Pythagoras, hypotenuse = √(6² + 8²) = √100 = 10.
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Q3.Probability & CombinatoricsIn how many ways can the letters of the word SQUARE be arranged?
Answer: A — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q4.PhysicsThe SI unit of power is the:
Answer: A — Watt
1 watt = 1 joule per second.
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Q5.ChemistryWhich of these is an alkali metal?
Answer: B — Potassium
Potassium is in Group 1 (alkali metals).
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Q6.AlgebraSolve: 2x + 5y = 77 and 5x + 4y = 99
Answer: A — x = 11, y = 11
Elimination/substitution gives x = 11, y = 11. Check: 2(11) + 5(11) = 77 ✓ and 5(11) + 4(11) = 99 ✓.
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Q7.Geometry & MensurationFind the distance between (5, -1) and (13, 14).
Answer: C — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
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Q8.Probability & CombinatoricsIn how many ways can a committee of 2 be chosen from 10 people?
Answer: D — 45
Order does not matter → combinations: 10C2 = 10! / (2!·8!) = 45.
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Q9.PhysicsFind the kinetic energy of a 36 kg body moving at 18 m/s.
Answer: C — 5,832 J
KE = ½mv² = ½ × 36 × 18² = 5,832 J.
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Q10.ChemistryWhat is the pH of a solution with [OH⁻] = 10⁻⁶ mol/L at 25 °C?
Answer: A — 8
[OH⁻] = 10⁻⁶ → pOH = 6; pH = 14 − 6 = 8 (at 25 °C).
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Q11.AlgebraFind log₂ 4.
Answer: C — 2
log_2(4) asks “2 to what power gives 4?” → 2^2 = 4, so the answer is 2.
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Q12.Geometry & MensurationFind the area of a right triangle with legs 9 cm and 12 cm.
Answer: C — 54 cm²
Area = ½ × base × height = ½ × 9 × 12 = 54 cm².
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Q13.Probability & CombinatoricsIn how many ways can the letters of the word ORANGE be arranged?
Answer: B — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q14.PhysicsAbsolute zero is:
Answer: C — −273.15 °C
0 K = −273.15 °C.
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Q15.ChemistryWater has a maximum density at about:
Answer: B — 4 °C
Water is densest at about 4 °C.
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Q16.AlgebraSolve: 5x + 4y = -45 and x + 2y = -15
Answer: C — x = -5, y = -5
Elimination/substitution gives x = -5, y = -5. Check: 5(-5) + 4(-5) = -45 ✓ and 1(-5) + 2(-5) = -15 ✓.
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Q17.Geometry & MensurationA right triangle has legs 3 cm and 4 cm. Find the hypotenuse.
Answer: B — 5 cm
By Pythagoras, hypotenuse = √(3² + 4²) = √25 = 5.
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Q18.Probability & CombinatoricsIn how many ways can a committee of 4 be chosen from 11 people?
Answer: A — 330
Order does not matter → combinations: 11C4 = 11! / (4!·7!) = 330.
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Q19.PhysicsA body with initial velocity 15 m/s accelerates at 2 m/s² for 3 s. Find the distance covered.
Answer: D — 54 m
s = ut + ½at² = 15×3 + ½×2×3² = 54 m.
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Q20.Chemistry58.5 g of NaOH (molar mass 40) is dissolved to make 250 mL of solution. Find the molarity.
Answer: B — 5.85 M
Moles = 58.5/40 = 1.463; molarity = moles ÷ litres = 1.463 ÷ 0.25 = 5.85 M.
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Q21.AlgebraFind log₂ 8.
Answer: B — 3
log_2(8) asks “2 to what power gives 8?” → 2^3 = 8, so the answer is 3.
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Q22.Geometry & MensurationFind the volume of a sphere of radius 21 cm (take π = 22/7).
Answer: C — 38,808 cm³
Using (4/3)πr³ with π = 22/7: 38,808 cm³.
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Q23.Probability & CombinatoricsA card is drawn from a well-shuffled deck of 52. What is the probability that it is a heart?
Answer: B — 1/4
There are 13 such cards in 52, so P = 13/52 = 1/4.
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Q24.PhysicsThe SI unit of force is the:
Answer: D — Newton
1 newton = 1 kg·m/s².
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Q25.ChemistryThe periodic table is arranged in order of increasing:
Answer: D — Atomic number
The modern periodic table orders elements by atomic number.
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 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.
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 |