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WBJEE Mock Test
A timed 25-question mock for the West Bengal Joint Entrance Examination covering algebra, probability & combinatorics, physics, chemistry. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
WBJEE 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 log₂ 16.
Answer: C — 4
log_2(16) asks “2 to what power gives 16?” → 2^4 = 16, so the answer is 4.
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Q2.Probability & CombinatoricsIn how many ways can a committee of 4 be chosen from 9 people?
Answer: C — 126
Order does not matter → combinations: 9C4 = 9! / (4!·5!) = 126.
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Q3.PhysicsThe phenomenon responsible for the blue colour of the sky is:
Answer: A — Rayleigh scattering
Shorter (blue) wavelengths are scattered more by air molecules.
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Q4.ChemistryWhich gas is produced when zinc reacts with dilute hydrochloric acid?
Answer: C — Hydrogen
Zn + 2HCl → ZnCl₂ + H₂.
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Q5.AlgebraSolve: x² − 9x + 8 = 0
Answer: C — 1, 8
Find two roots with sum 9 and product 8: 1 and 8. So x² − 9x + 8 = (x − 1)(x − 8) = 0.
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Q6.Probability & Combinatorics4 fair coins are tossed. What is the probability of at least one head?
Answer: D — 15/16
P(no head) = (1/2)^4 = 1/16; P(at least one head) = 1 − 1/16 = 15/16.
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Q7.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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Q8.Chemistry58.5 g of NaCl (molar mass 58.5) is dissolved to make 250 mL of solution. Find the molarity.
Answer: B — 4 M
Moles = 58.5/58.5 = 1; molarity = moles ÷ litres = 1 ÷ 0.25 = 4 M.
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Q9.AlgebraSolve: 5x + 3y = 30 and x + 5y = -16
Answer: B — x = 9, y = -5
Elimination/substitution gives x = 9, y = -5. Check: 5(9) + 3(-5) = 30 ✓ and 1(9) + 5(-5) = -16 ✓.
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Q10.Probability & CombinatoricsIn how many ways can the letters of the word PLANET be arranged?
Answer: D — 720
All 6 letters are different, so arrangements = 6! = 720.
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Q11.PhysicsWhich particle has no electric charge?
Answer: A — Neutron
Neutrons are electrically neutral.
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Q12.ChemistryThe hardest naturally occurring substance is:
Answer: B — Diamond
Diamond, a carbon allotrope, is the hardest natural material.
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Q13.AlgebraSolve: x² + x − 2 = 0
Answer: A — -2, 1
Find two roots with sum -1 and product -2: 1 and -2. So x² + x − 2 = (x − 1)(x + 2) = 0.
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Q14.Probability & CombinatoricsTwo fair dice are thrown. What is the probability that the sum is 4?
Answer: B — 1/12
3 of the 36 equally likely outcomes give a sum of 4, so P = 3/36 = 1/12.
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Q15.PhysicsFind the kinetic energy of a 47 kg body moving at 8 m/s.
Answer: C — 1,504 J
KE = ½mv² = ½ × 47 × 8² = 1,504 J.
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Q16.Chemistry40 g of HCl (molar mass 36.5) is dissolved to make 250 mL of solution. Find the molarity.
Answer: D — 4.384 M
Moles = 40/36.5 = 1.096; molarity = moles ÷ litres = 1.096 ÷ 0.25 = 4.384 M.
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Q17.AlgebraFind log₅ 125.
Answer: A — 3
log_5(125) asks “5 to what power gives 125?” → 5^3 = 125, so the answer is 3.
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Q18.Probability & CombinatoricsA card is drawn from a well-shuffled deck of 52. What is the probability that it is a king?
Answer: C — 1/13
There are 4 such cards in 52, so P = 4/52 = 1/13.
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Q19.PhysicsWhich colour of visible light has the longest wavelength?
Answer: B — Red
Red light has the longest wavelength (~700 nm).
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Q20.ChemistryWater has a maximum density at about:
Answer: A — 4 °C
Water is densest at about 4 °C.
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Q21.AlgebraFind the sum of the first 18 terms of the AP 6, 14, 22, …
Answer: C — 1332
Sₙ = n/2 × [2a + (n − 1)d] = 18/2 × [12 + 136] = 1,332.
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Q22.Probability & CombinatoricsA card is drawn from a well-shuffled deck of 52. What is the probability that it is a face card (J, Q, K)?
Answer: B — 3/13
There are 12 such cards in 52, so P = 12/52 = 3/13.
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Q23.PhysicsA current of 1 A flows through a 12 Ω resistor. What is the potential difference across it?
Answer: D — 12 V
Ohm’s law: V = IR = 1 × 12 = 12 V.
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Q24.ChemistryWhat is the pH of a solution with [H⁺] = 10⁻² mol/L?
Answer: D — 2
pH = −log[H⁺] = −log(10⁻²) = 2.
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Q25.AlgebraFind the sum of the first 10 terms of the AP 16, 22, 28, …
Answer: C — 430
Sₙ = n/2 × [2a + (n − 1)d] = 10/2 × [32 + 54] = 430.
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 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.
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 |