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KCET Practice Questions
Original practice questions for the Karnataka Common Entrance Test (Karnataka Examinations Authority (KEA)), mixed across 5 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
KCET mixed practice
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Q1.AlgebraSolve: 4x + 2y = 8 and x + 2y = 8
Show answer & explanation
Answer: C — x = 0, y = 4
Elimination/substitution gives x = 0, y = 4. Check: 4(0) + 2(4) = 8 ✓ and 1(0) + 2(4) = 8 ✓.
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Q2.Geometry & MensurationA right triangle has legs 9 cm and 12 cm. Find the hypotenuse.
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Answer: A — 15 cm
By Pythagoras, hypotenuse = √(9² + 12²) = √225 = 15.
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Q3.PhysicsThe bending of light as it passes from one medium to another is:
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Answer: C — Refraction
Refraction is caused by a change in light’s speed.
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Q4.ChemistryThe hardest naturally occurring substance is:
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Answer: A — Diamond
Diamond, a carbon allotrope, is the hardest natural material.
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Q5.BiologyThe universal blood donor group is:
Show answer & explanation
Answer: B — O−
O negative red cells lack A, B and Rh antigens.
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Q6.AlgebraFind the sum of the first 10 terms of the AP 9, 12, 15, …
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Answer: D — 225
Sₙ = n/2 × [2a + (n − 1)d] = 10/2 × [18 + 27] = 225.
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Q7.Geometry & MensurationFind the distance between (-3, 5) and (3, 13).
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Answer: A — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q8.PhysicsWhat force is needed to accelerate a 30 kg mass at 10 m/s²?
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Answer: C — 300 N
F = ma = 30 × 10 = 300 N.
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Q9.ChemistryWhat is the mass of 2 mol of carbon dioxide (CO₂)? (Molar mass 44 g/mol)
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Answer: A — 88 g
Mass = moles × molar mass = 2 × 44 g/mol = 88 g.
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Q10.BiologyWhich organelle synthesises proteins?
Show answer & explanation
Answer: A — Ribosome
Ribosomes translate mRNA into protein.
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.
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)).
- Physics questions — Write the formula before substituting and keep SI units throughout.
- Chemistry questions — Moles = mass ÷ molar mass; molarity = moles ÷ litres.
- Biology questions — Learn structure → function links (mitochondria → ATP, nephron → filtration), the major hormones and their glands, and deficiency diseases.
- KCET mock test — 25 timed questions with negative marking.
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 |