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WBJEE Practice Questions
Original practice questions for the West Bengal Joint Entrance Examination (West Bengal Joint Entrance Examinations Board (WBJEEB)), mixed across 4 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
WBJEE mixed practice
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Q1.AlgebraSolve: 4x + 3y = 18 and 5x + 4y = 23
Show answer & explanation
Answer: C — x = 3, y = 2
Elimination/substitution gives x = 3, y = 2. Check: 4(3) + 3(2) = 18 ✓ and 5(3) + 4(2) = 23 ✓.
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Q2.Probability & CombinatoricsIn how many ways can the letters of the word SQUARE be arranged?
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Answer: C — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q3.PhysicsWhich quantity is a vector?
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Answer: B — Velocity
Velocity has magnitude and direction.
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Q4.ChemistryThe chemical name of baking soda is:
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Answer: B — Sodium bicarbonate (sodium hydrogen carbonate)
Baking soda is NaHCO₃.
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Q5.AlgebraFind the sum of the first 21 terms of the AP 7, 16, 25, …
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Answer: A — 2037
Sₙ = n/2 × [2a + (n − 1)d] = 21/2 × [14 + 180] = 2,037.
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Q6.PhysicsA body with initial velocity 9 m/s accelerates at 4 m/s² for 6 s. Find the distance covered.
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Answer: A — 126 m
s = ut + ½at² = 9×6 + ½×4×6² = 126 m.
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Q7.ChemistryWhat is the pH of a solution with [H⁺] = 10⁻¹ mol/L?
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Answer: A — 1
pH = −log[H⁺] = −log(10⁻¹) = 1.
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Q8.AlgebraSolve: 5x + 4y = 36 and 5x + 5y = 40
Show answer & explanation
Answer: D — x = 4, y = 4
Elimination/substitution gives x = 4, y = 4. Check: 5(4) + 4(4) = 36 ✓ and 5(4) + 5(4) = 40 ✓.
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Q9.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 5?
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Answer: D — 1/9
4 of the 36 equally likely outcomes give a sum of 5, so P = 4/36 = 1/9.
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Q10.PhysicsAn object at rest stays at rest unless acted on by a net force. This is:
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Answer: B — Newton’s first law (inertia)
Newton’s first law, the law of inertia.
About WBJEE
West Bengal Joint Entrance Examination — conducted by West Bengal Joint Entrance Examinations Board (WBJEEB). State engineering, technology and pharmacy entrance for West Bengal.
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.
- Physics questions — Write the formula before substituting and keep SI units throughout.
- Chemistry questions — Moles = mass ÷ molar mass; molarity = moles ÷ litres.
- WBJEE mock test — 25 timed questions with negative marking.
WBJEE practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |