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KCET Mock Test
A timed 25-question mock for the Karnataka Common Entrance Test covering algebra, geometry & mensuration, physics, chemistry, biology. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
KCET 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 26 terms of the AP 11, 14, 17, …
Answer: D — 1261
Sₙ = n/2 × [2a + (n − 1)d] = 26/2 × [22 + 75] = 1,261.
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Q2.Geometry & MensurationFind the distance between (2, 1) and (5, 5).
Answer: C — 5
Distance = √((Δx)² + (Δy)²) = √(3² + 4²) = 5.
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Q3.PhysicsThe upthrust on a body immersed in a fluid equals the weight of fluid displaced. This is:
Answer: C — Archimedes’ principle
Archimedes’ principle.
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Q4.ChemistryRusting of iron requires:
Answer: D — Both oxygen and water
Iron rusts in the presence of oxygen and moisture, forming hydrated iron(III) oxide.
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Q5.BiologyWhich organelle synthesises proteins?
Answer: A — Ribosome
Ribosomes translate mRNA into protein.
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Q6.AlgebraFind log₂ 32.
Answer: B — 5
log_2(32) asks “2 to what power gives 32?” → 2^5 = 32, so the answer is 5.
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Q7.Geometry & MensurationFind the area of a right triangle with legs 5 cm and 12 cm.
Answer: B — 30 cm²
Area = ½ × base × height = ½ × 5 × 12 = 30 cm².
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Q8.PhysicsFind the kinetic energy of a 29 kg body moving at 19 m/s.
Answer: A — 5,234.5 J
KE = ½mv² = ½ × 29 × 19² = 5,234.5 J.
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Q9.ChemistryWhat is the mass of 2.5 mol of sodium chloride (NaCl)? (Molar mass 58.5 g/mol)
Answer: A — 146.25 g
Mass = moles × molar mass = 2.5 × 58.5 g/mol = 146.25 g.
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Q10.BiologyWhich blood vessels carry blood away from the heart?
Answer: B — Arteries
Arteries carry blood away from the heart.
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Q11.AlgebraSolve: x² − 8x + 16 = 0
Answer: B — 4, 4
Find two roots with sum 8 and product 16: 4 and 4. So x² − 8x + 16 = (x − 4)(x − 4) = 0.
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Q12.Geometry & MensurationFind the distance between (2, 3) and (7, 15).
Answer: A — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q13.PhysicsThe unit of electrical resistance is the:
Answer: B — Ohm
Resistance is measured in ohms (Ω).
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Q14.ChemistryThe main component of natural gas is:
Answer: A — Methane
Methane (CH₄).
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Q15.BiologyWhich part of the flower develops into the fruit?
Answer: C — Ovary
After fertilisation the ovary develops into the fruit.
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Q16.AlgebraSolve: x² + 15x + 54 = 0
Answer: B — -9, -6
Find two roots with sum -15 and product 54: -6 and -9. So x² + 15x + 54 = (x + 6)(x + 9) = 0.
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Q17.Geometry & MensurationFind the distance between (1, 2) and (9, 17).
Answer: C — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
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Q18.PhysicsA current of 1.5 A flows through a 8 Ω resistor. What is the potential difference across it?
Answer: C — 12 V
Ohm’s law: V = IR = 1.5 × 8 = 12 V.
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Q19.ChemistryWhat is the pH of a solution with [H⁺] = 10⁻¹ mol/L?
Answer: B — 1
pH = −log[H⁺] = −log(10⁻¹) = 1.
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Q20.BiologyThe largest organ of the human body is the:
Answer: B — Skin
The skin is the largest organ by area and weight.
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Q21.AlgebraFind log₃ 81.
Answer: D — 4
log_3(81) asks “3 to what power gives 81?” → 3^4 = 81, so the answer is 4.
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Q22.Geometry & MensurationFind the volume of a cylinder with radius 21 cm and height 4 cm (take π = 22/7).
Answer: B — 5,544 cm³
Using πr²h with π = 22/7: 5,544 cm³.
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Q23.PhysicsWhich quantity is a vector?
Answer: A — Velocity
Velocity has magnitude and direction.
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Q24.ChemistryIsotopes of an element have the same number of:
Answer: A — Protons
Isotopes share the proton number but differ in neutrons.
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Q25.BiologyWhich disease is caused by a deficiency of iodine?
Answer: D — Goitre
Iodine deficiency causes goitre (thyroid enlargement).
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 KCET
Karnataka Common Entrance Test — conducted by Karnataka Examinations Authority (KEA). State entrance for professional courses in Karnataka.
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.
KCET practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |
| Biology | Science | Question bank |