JEE Main Maths Quiz with Answers Subject wise
JEE Main Maths Quiz with Answers
1. If x² – 5x + 6 = 0, find sum of roots.
A) 5
B) 6
C) -5
D) 1
Ans: A) 5
Sum = -b/a = 5
2. Value of sin²θ + cos²θ?
A) 0
B) 1
C) 2
D) -1
Ans: B) 1
Basic identity
3. Derivative of x²?
A) x
B) 2x
C) x²
D) 1
Ans: B) 2x
Power rule
4. If log 10 = 1, find log 100?
A) 1
B) 2
C) 10
D) 100
Ans: B) 2
100 = 10²
5. Value of 2³?
A) 6
B) 8
C) 9
D) 4
Ans: B) 8
6. Integral of 1 dx?
A) x
B) 1
C) x²
D) 0
Ans: A) x
7. If slope = 0, line is?
A) Vertical
B) Horizontal
C) Inclined
D) None
Ans: B) Horizontal
8. Determinant of [1 0; 0 1]?
A) 0
B) 1
C) -1
D) 2
Ans: B) 1
9. Value of tan 45°?
A) 0
B) 1
C) √2
D) -1
Ans: B) 1
10. Number of solutions of linear equation?
A) 0
B) 1
C) Infinite
D) Both B & C
Ans: D
11. If a+b=5, ab=6, find roots?
A) 2,3
B) 1,6
C) 4,1
D) 5,0
Ans: A
12. Value of √16?
A) 2
B) 4
C) 8
D) 16
Ans: B
13. lim (sin x / x) as x→0?
A) 0
B) 1
C) ∞
D) -1
Ans: B
14. Probability of head in coin toss?
A) 1
B) 0
C) 1/2
D) 2
Ans: C
15. Distance formula?
A) √(x+y)
B) √(x²+y²)
C) √((x2-x1)²+(y2-y1)²)
D) None
Ans: C
16. If matrix A = I, then A² = ?
A) I
B) 0
C) A
D) 2A
Ans: A
17. Value of e⁰?
A) 0
B) 1
C) e
D) -1
Ans: B
18. If f(x)=x³, f'(x)?
A) 3x²
B) x²
C) 3x
D) x³
Ans: A
19. Value of cos 0°?
A) 0
B) 1
C) -1
D) √2
Ans: B
20. Mean of 2,4,6?
A) 3
B) 4
C) 5
D) 6
Ans: B
21. If AP: 2,4,6… common difference?
A) 1
B) 2
C) 3
D) 4
Ans: B
22. Sum of first n natural numbers?
A) n²
B) n(n+1)/2
C) n³
D) n
Ans: B
23. If tan θ = 1, θ=?
A) 30°
B) 45°
C) 60°
D) 90°
Ans: B
24. If x=2, value of x²+3x?
A) 10
B) 8
C) 12
D) 6
Ans: A
25. Value of log 1?
A) 1
B) 0
C) -1
D) ∞
Ans: B
26. Equation of line: y=mx+c, m is?
A) Intercept
B) Slope
C) Constant
D) None
Ans: B
27. If determinant = 0, system is?
A) Unique
B) No solution
C) Infinite/Dependent
D) None
Ans: C
28. Value of sin 90°?
A) 0
B) 1
C) -1
D) 2
Ans: B
29. If radius = 7, area of circle?
A) 49π
B) 14π
C) 21π
D) 7π
Ans: A
30. If n=3, factorial?
A) 3
B) 6
C) 9
D) 1
Ans: B
31. If two lines parallel, slope relation?
A) Equal
B) Opposite
C) Zero
D) Infinite
Ans: A
32. If x² = 9, x=?
A) 3
B) -3
C) ±3
D) 9
Ans: C
33. Value of cos 60°?
A) 1/2
B) √3
C) 1
D) 0
Ans: A
34. If median of triangle divides opposite side, ratio?
A) 1:1
B) 2:1
C) 3:1
D) 1:2
Ans: A
35. Value of 0!?
A) 0
B) 1
C) Undefined
D) -1
Ans: B
Here is a JEE Mains level Physics Quiz (Hard MCQs) with answers and simple explanations. These questions are designed to test deep understanding and application.
JEE Mains Physics Quiz with Answers
Q1. A particle moves in a circle with constant speed. Its acceleration is:
A) Zero
B) Constant
C) Towards center
D) Away from center
Answer: C
Explanation: Even if speed is constant, direction changes → centripetal acceleration towards center.
Q2. Work done in uniform circular motion is:
A) Positive
B) Negative
C) Zero
D) Infinite
Answer: C
Explanation: Force is perpendicular to displacement → no work done.
Q3. Dimensional formula of Planck’s constant:
A) ML²T⁻¹
B) ML²T⁻²
C) MLT⁻¹
D) ML²T
Answer: A
Explanation: h = Energy × time → (ML²T⁻² × T).
Q4. Escape velocity depends on:
A) Mass only
B) Radius only
C) Both mass and radius
D) Height
Answer: C
Explanation: v = √(2GM/R).
Q5. A body in SHM has max velocity at:
A) Mean position
B) Extreme position
C) Anywhere
D) Zero
Answer: A
Explanation: Velocity is highest at center.
Q6. Unit of electric flux:
A) Nm²/C
B) N/C
C) Volt
D) Joule
Answer: A
Explanation: Flux = E × Area.
Q7. Charge is quantized means:
A) Continuous
B) Discrete
C) Negative
D) Positive
Answer: B
Explanation: Charge exists in multiples of e.
Q8. Capacitance depends on:
A) Charge
B) Potential
C) Geometry
D) Current
Answer: C
Explanation: Depends on plate area & distance.
Q9. Time constant in RC circuit:
A) R/C
B) RC
C) 1/RC
D) R²C
Answer: B
Explanation: τ = RC.
Q10. Magnetic field inside solenoid:
A) Zero
B) Uniform
C) Variable
D) Infinite
Answer: B
Explanation: Nearly constant inside.
Q11. Faraday’s law is based on:
A) Current
B) Resistance
C) Flux change
D) Voltage
Answer: C
Explanation: EMF ∝ rate of change of flux.
Q12. Power factor =
A) sinθ
B) cosθ
C) tanθ
D) cotθ
Answer: B
Explanation: PF = cosθ.
Q13. Speed of light in medium depends on:
A) Frequency
B) Wavelength
C) Refractive index
D) Energy
Answer: C
Q14. Critical angle exists when:
A) n₁ > n₂
B) n₁ < n₂
C) Equal
D) None
Answer: A
Q15. Mirror formula:
A) 1/f = 1/v + 1/u
B) v = u + f
C) f = uv
D) None
Answer: A
Q16. Energy of photon:
A) hv
B) h/v
C) v/h
D) hv²
Answer: A
Q17. Photoelectric effect depends on:
A) Intensity
B) Frequency
C) Distance
D) Voltage
Answer: B
Q18. Half-life depends on:
A) Initial amount
B) Temperature
C) Nucleus
D) Pressure
Answer: C
Q19. Binding energy relates to:
A) Mass defect
B) Charge
C) Speed
D) Radius
Answer: A
Q20. De Broglie wavelength:
A) h/p
B) p/h
C) hv
D) v/h
Answer: A
Q21. Work-energy theorem:
A) W = KE
B) W = ΔKE
C) KE constant
D) None
Answer: B
Q22. Impulse =
A) Force × time
B) Force/time
C) Mass × speed
D) Energy
Answer: A
Q23. Torque unit:
A) Nm
B) Joule
C) Watt
D) Pascal
Answer: A
Q24. Angular momentum conserved when:
A) Force zero
B) Torque zero
C) Energy zero
D) Speed zero
Answer: B
Q25. Bernoulli’s principle relates:
A) Pressure & speed
B) Heat & work
C) Force & mass
D) Voltage
Answer: A
Q26. Young’s modulus =
A) Stress/strain
B) Strain/stress
C) Force/area
D) None
Answer: A
Q27. Heat transfer by radiation:
A) Needs medium
B) No medium
C) Solid only
D) Liquid only
Answer: B
Q28. Entropy always:
A) Decreases
B) Constant
C) Increases
D) Zero
Answer: C
Q29. Efficiency of Carnot engine:
A) 1 – Tc/Th
B) Tc/Th
C) Th/Tc
D) Zero
Answer: A
Q30.
Wave speed:
A) fλ
B) f/λ
C) λ/f
D) None
Answer: A
Q31. Node in wave:
A) Max displacement
B) Zero displacement
C) Infinite
D) None
Answer: B
Q32. Resonance occurs when:
A) Frequency match
B) Speed match
C) Energy match
D) Mass match
Answer: A
Q33. Ohm’s law:
A) V = IR
B) I = VR
C) R = VI
D) None
Answer: A
Q34. Drift velocity depends on:
A) Electric field
B) Mass
C) Charge
D) All
Answer: D
Q35. Semiconductor has:
A) High conductivity
B) Low conductivity
C) Medium conductivity
D) Zero
Answer: C
JEE Mains Level Chemistry Quiz with Answers
Q1. Which has maximum lattice energy?
A. NaCl
B. MgO
C. KCl
D. CaO
Answer: B
Explanation: Higher charge and smaller size → stronger attraction. Mg²⁺ and O²⁻ give highest lattice energy.
Q2. Which species shows maximum paramagnetism?
A. O₂
B. O₂⁺
C. O₂⁻
D. O₂²⁻
Answer: C
Explanation: O₂⁻ has more unpaired electrons than others.
Q3. Correct order of bond length:
A. C≡C < C=C < C–C
B. C–C < C=C < C≡C
C. C=C < C–C < C≡C
D. C≡C < C–C < C=C
Answer: A
Explanation: More bonds → shorter bond length.
Q4. Hybridization of Xe in XeF₄:
A. sp³
B. sp³d
C. sp³d²
D. sp³d³
Answer: C
Explanation: 6 electron pairs → sp³d².
Q5. Which has highest boiling point?
A. CH₄
B. NH₃
C. H₂O
D. HF
Answer: C
Explanation: Strong hydrogen bonding in water.
Q6. pH of 0.01 M HCl:
A. 1
B. 2
C. 3
D. 4
Answer: B
Explanation: pH = -log(0.01) = 2.
Q7. Which is strongest acid?
A. CH₃COOH
B. HClO₄
C. H₂SO₄
D. HNO₃
Answer: B
Explanation: HClO₄ is strongest due to resonance stabilization.
Q8. Order of ionization energy:
A. N > O
B. O > N
C. N = O
D. None
Answer: A
Explanation: Half-filled stability of N.
Q9. Which acts as both oxidizing and reducing agent?
A. H₂O₂
B. KMnO₄
C. HNO₃
D. NaCl
Answer: A
Explanation: H₂O₂ can gain or lose electrons.
Q10. Shape of NH₃:
A. Linear
B. Trigonal planar
C. Trigonal pyramidal
D. Tetrahedral
Answer: C
Explanation: Lone pair gives pyramidal shape.
Q11. Which has highest electronegativity?
A. Cl
B. F
C. O
D. N
Answer: B
Explanation: Fluorine is highest.
Q12. Which is aromatic?
A. Cyclobutadiene
B. Benzene
C. Cyclooctatetraene
D. None
Answer: B
Explanation: Follows 4n+2 rule.
Q13. Rate depends on:
A. Temperature
B. Concentration
C. Catalyst
D. All
Answer: D
Explanation: All affect reaction rate.
Q14. Unit of rate constant for first order:
A. s⁻¹
B. mol L⁻¹ s⁻¹
C. L mol⁻¹ s⁻¹
D. None
Answer: A
Explanation: First order → time⁻¹.
Q15. Which has highest dipole moment?
A. CO₂
B. BF₃
C. NH₃
D. CCl₄
Answer: C
Explanation: NH₃ is polar.
Q16. Which is strongest base?
A. NH₃
B. NH₂⁻
C. OH⁻
D. H₂O
Answer: B
Explanation: Negative charge → strong base.
Q17. Which undergoes SN1 reaction fastest?
A. 1°
B. 2°
C. 3°
D. Methyl
Answer: C
Explanation: Carbocation stability.
Q18. Which is reducing sugar?
A. Sucrose
B. Glucose
C. Lactose
D. Both B and C
Answer: D
Q19. Which has maximum oxidation state?
A. Mn
B. Cr
C. Fe
D. Co
Answer: A
Q20. Which is not colligative property?
A. Osmotic pressure
B. Boiling point
C. Freezing point
D. Density
Answer: D
Q21. Which has highest hydration energy?
A. Li⁺
B. Na⁺
C. K⁺
D. Cs⁺
Answer: A
Q22. Which is most stable carbocation?
A. 1°
B. 2°
C. 3°
D. Methyl
Answer: C
Q23. Which is strongest nucleophile?
A. F⁻
B. Cl⁻
C. Br⁻
D. I⁻
Answer: D
Q24. Which gas deviates most from ideal behavior?
A. H₂
B. N₂
C. CO₂
D. He
Answer: C
Q25. Which shows hydrogen bonding?
A. CH₄
B. NH₃
C. CO₂
D. CCl₄
Answer: B
Q26. Which has highest boiling point?
A. Ether
B. Alcohol
C. Alkane
D. Alkene
Answer: B
Q27. Which is strongest oxidizing agent?
A. F₂
B. Cl₂
C. Br₂
D. I₂
Answer: A
Q28. Which is most acidic?
A. Phenol
B. Ethanol
C. Water
D. Methanol
Answer: A
Q29. Which is sp hybridized?
A. CH₄
B. C₂H₂
C. C₂H₄
D. NH₃
Answer: B
Q30. Which is strongest ligand?
A. H₂O
B. NH₃
C. CN⁻
D. Cl⁻
Answer: C
Q31. Which is coordination number of [Fe(CN)₆]³⁻?
A. 4
B. 5
C. 6
D. 3
Answer: C
Q32. Which is strongest acid in water?
A. HCl
B. HBr
C. HI
D. All equal
Answer: D
Q33. Which is most reactive alkyl halide?
A. CH₃Cl
B. CH₃Br
C. CH₃I
D. CH₃F
Answer: C
Q34. Which is most stable alkene?
A. Mono-substituted
B. Di-substituted
C. Tri-substituted
D. Tetra-substituted
Answer: D
Q35. Which has highest bond dissociation energy?
A. F₂
B. Cl₂
C. Br₂
D. I₂
Answer: B
FAQs on JEE Mains Quiz
1. What is a JEE Mains Quiz?
A JEE Mains quiz is a set of practice questions based on Physics, Chemistry, and Mathematics to help students prepare for the exam in an easy and interactive way.
2. Are JEE Mains mock tests available for free online?
Yes, many websites provide jee mains mock test free online where students can practice without paying any fees.
3. How does a JEE quiz with answers help students?
A jee quiz with answers helps students check their performance instantly and understand their mistakes for better learning.
4. What is the benefit of solving JEE MCQ online tests?
A jee mcq online test gives real exam-like experience and improves speed, accuracy, and time management skills.
5. How often should I practice JEE quiz questions?
Students should practice jee quiz questions regularly, at least daily or weekly, to improve their understanding and confidence.
