MHT CET PCM April 11 Question Paper Analysis 2026 (OUT) LIVE: Shift 1 Exam Difficulty, Answer Key

MHT CET 2026 PCM Examination:The MHT CET 2026 for PCM Group was, onApril 11, 2026. The exam will be conducted in CBT mode with MCQs, in which each correct answer is awarded 2 marks, with no negative marking. Thus, it is important to know the weightage of subject-wise as well as chapter-wise to gain maximum marks. Praking into consideration the previous years' proof,almost 80% of questions are asked to be from Class 12, while rest 20% comes from Class 11.When comparative weightage between these subjects is taken into account, Mathematics has the maximum followed by Physics and Chemistry, which means a well-balanced approach, along with strategic preparation, is required.

MHT CET 2026 Question Paper & Exam Analysis April 11 Shift 1

• As per a few candidates from Pune, overall, the question appeared to be moderate
• Shailesh Jhadhav felt thatPhysics was more difficult than I imagined, particularly the EMI and Oscillations challenges. Chemistry was a relief, and overall, if you've practised properly, it should be manageable.
• As per Aarav Deshmukh,Math was the most time-consuming. There were some tricky substitutes in the integration questions. However, if you have previously solved MHT CET PYQs, you will know the majority of the question patterns. Overall, this was a good paper.

MHT CET 2026 PCM – High Weightage & Important Topics

Mathematics:

Also read |JEE Main 2026 Response Sheet Session 2 Live Updates

Physics:

Chemistry:

Preparation Tips for MHT CET 2026 Before Exam

The candidates must revise all the concepts at this point in time rather than learning new topics. The best practice at this point will be to learn the high-scoring chapters, revise formulae, and solve MCQs, as this approach may help you fetch good marks. You should revise short notes, formulas, and reactions every day.

The candidates may check last-minute preparation tips and expert advice by followingCollegeDekho, which regularly offers useful information related to exams and preparation.

MHT CET PCM Exam 2026 LIVE:

• Apr 11, 2026 12:00 PM IST

  Exam Concluded Successfully

  The MHT CET 2026 PCM examination has concluded successfully across centres. The overall conduct remained smooth, with only minor issues reported and resolved promptly by authorities. The Paper Reviews and subject experts' analysis will be available shortly.

• Apr 11, 2026 11:30 AM IST

  Exam to Conclude Soon

  The MHT CET 2026 PCM exam is approaching its final phase. Candidates are nearing completion of the paper, with the remaining time being utilized for reviewing responses and final submissions.

• Apr 11, 2026 11:00 AM IST

  Authorities Ensure Smooth Conduct

  Examination authorities and technical teams are actively monitoring the situation across centres. Immediate action has been taken wherever required, and additional time is being provided in cases of verified technical interruptions.

• Apr 11, 2026 10:30 AM IST

  Minor Technical Issues Reported

  A few centres have reported minor technical glitches, including brief system delays. However, these issues were promptly addressed by the technical staff, ensuring minimal disruption to the examination process.

• Apr 11, 2026 10:00 AM IST

  CBT Mode Functioning Normally

  The computer-based test (CBT) system is functioning efficiently at the majority of centres. Candidates are navigating through questions using the online interface, with features like “Mark for Review” and on-screen timer working as expected.

• Apr 11, 2026 09:30 AM IST

  Exam Progressing Smoothly

  The MHT CET 2026 PCM examination is progressing smoothly across most test centres. No major disruptions have been reported so far, and candidates are continuing the test in a controlled and organized environment.

• Apr 11, 2026 09:00 AM IST

  MHT CET 2026 PCM Exam Begins

  The MHT CET 2026 PCM exam has commenced across various centres. The computer-based test is now underway, covering Physics, Chemistry, and Mathematics sections, with candidates beginning their attempt under standard examination guidelines.

• Apr 11, 2026 08:40 AM IST

  Time Management During Exam – Section Handling

  • Start with the strongest subject for confidence boost
  • Allocate time smartly across Physics, Chemistry, Mathematics
  • Avoid spending too much time on a single question
  • Attempt maximum questions with accuracy
  • Keep last 10–15 minutes for revision

• Apr 11, 2026 08:20 AM IST

  Important Reminder During Exam

  • Candidates should avoid spending too much time on a single question
  • Use the “Mark for Review” option for doubtful questions
  • Keep track of remaining time using the on-screen timer
  • Ensure all answers are saved before submission

• Apr 11, 2026 08:00 AM IST

  Common Mistakes to Avoid in MHT CET 2026

  • Misreading questions in a hurry
  • Spending too much time on difficult problems
  • Not revising marked questions
  • Ignoring units and formulas in Physics
  • Making calculation errors in Maths

• Apr 11, 2026 07:40 AM IST

  Computer-Based Test (CBT) Guidelines Update

  • Use mouse carefully while selecting answers
  • Ensure you click the correct option before moving forward
  • Use “Mark for Review” option for doubtful questions
  • Keep track of time using the on-screen timer
  • Submit the test only after reviewing answers

• Apr 11, 2026 07:20 AM IST

  Final Checklist Before Leaving for Exam Centre

  • Carry printed admit card (hall ticket) without fail
  • Keep a valid photo ID proof (Aadhaar card, PAN card, etc.)
  • Ensure photograph matches the one on the admit card
  • Carry 2–3 extra passport-size photos (if required)
  • Reach the exam centre at least 60 minutes early
  • Verify exam centre location in advance to avoid last-minute confusion
  • Check reporting time and gate closing time carefully
  • Carry only allowed items:
    • Transparent water bottle
    • Basic stationery (if permitted)
  • Do NOT carry:
    • Mobile phones
    • Smartwatches
    • Calculators or electronic gadgets
  • Wear comfortable clothes and avoid items restricted by guidelines
  • Stay calm, eat light food, and stay hydrated before leaving

• Apr 11, 2026 07:00 AM IST

  Inside Exam Hall Update – Important Instructions

  • Follow all instructions displayed on screen carefully
  • Do not attempt to switch sections randomly without planning
  • Read each question properly before answering
  • Use rough sheet wisely for calculations
  • Do not panic if you see difficult questions initially

• Apr 11, 2026 06:40 AM IST

  Reporting Time for MHT CET 2026 (PCM Exam)

  • Candidates are advised to report to the exam centre at least 60 minutes before the scheduled exam time
  • Entry to the examination hall usually begins 45–60 minutes prior to the exam
  • Gate closing time is strictly enforced, and latecomers may not be allowed to enter

   Shift Timings 

  • Morning Shift:
    • Reporting Time: 7:30 AM – 8:30 AM
    • Exam Time: 9:00 AM – 12:00 PM
  • Afternoon Shift:
    • Reporting Time: 12:30 PM – 1:30 PM
    • Exam Time: 2:00 PM – 5:00 PM

• Apr 11, 2026 06:20 AM IST

  MHT CET PCM 2026: Practice Set 3

  Chemistry (10 Questions)

  1. ΔG formula:
     Answer: ΔG = ΔH – TΔS
  2. Nernst equation:
     Answer: E = E° – (0.059/n)logQ
  3. Half-life formula:
     Answer: 0.693/k
  4. Functional group of alcohol:
     Answer: –OH
  5. Oxidation means:
     Answer: Loss of electrons
  6. Hybridization of CH₄:
     Answer: sp³
  7. Unit of entropy:
     Answer: J/K
  8. Packing efficiency (FCC):
     Answer: 74%
  9. Molarity formula:
     Answer: moles/volume
  10. Polymer means:
      Answer: Repeating units

• Apr 11, 2026 06:00 AM IST

  MHT CET PCM 2026: Practice Set 2

  Physics (10 Questions)

  1. Ohm’s law:
     A) V=IR B) P=VI C) F=ma D) E=mc²
     Answer: A
  2. Coulomb’s law:
     Answer: F = kq₁q₂/r²
  3. KE formula:
     Answer: ½mv²
  4. Power formula:
     Answer: P = VI
  5. Unit of electric field:
     Answer: N/C
  6. Frequency formula:
     Answer: 1/T
  7. Magnetic field unit:
     Answer: Tesla
  8. Work formula:
     Answer: Fd
  9. Photon energy:
     Answer: E = hν
  10. Potential difference:
      Answer: V = W/q

• Apr 11, 2026 05:40 AM IST

  MHT CET PCM 2026: Practice Set 1

  Mathematics (10 Questions)

  1. ∫₀¹ x² dx = ?
     A) 1/2 B) 1/3 C) 1 D) 2
     Answer: B (x³/3 from 0→1)
  2. d/dx (x³) = ?
     A) x² B) 3x² C) x³ D) 3x
     Answer: B
  3. A·B = 0 implies:
     A) Parallel B) Perpendicular C) Equal D) Opposite
     Answer: B
  4. Distance between (1,2,3) and (1,2,6)?
     A) 3 B) 2 C) 6 D) 1
     Answer: A
  5. sin²θ + cos²θ = ?
     A) 0 B) 1 C) 2 D) θ
     Answer: B
  6. ∫eˣ dx = ?
     Answer: eˣ + C
  7. Probability of head in one toss?
     Answer: 1/2
  8. Unit vector magnitude?
     Answer: 1
  9. ∫1/x dx = ?
     Answer: ln|x| + C
  10. If vectors parallel, angle = ?
      Answer: 0°

• Apr 11, 2026 05:20 AM IST

  MHT CET 2021 – Chemistry

  • Shape of CH₄:
    A) Linear
    B) Tetrahedral
    C) Bent
    D) Planar
    Answer: B
  • Bond in NaCl:
    A) Covalent
    B) Ionic
    C) Metallic
    D) Hydrogen
    Answer: B
  • VSEPR explains:
    A) Bond length
    B) Shape
    C) Energy
    D) Mass
    Answer: B

• Apr 11, 2026 05:00 AM IST

  MHT CET 2022 – Chemistry

  • Coordination number of FCC:
    A) 6
    B) 8
    C) 12
    D) 4
    Answer: C
  • Packing efficiency:
    A) 50%
    B) 68%
    C) 74%
    D) 100%
    Answer: C
  • Unit cell is:
    A) Repeating unit
    B) Atom
    C) Molecule
    D) Ion
    Answer: A

• Apr 11, 2026 04:40 AM IST

  MHT CET 2023 – Chemistry

  • Functional group of alcohol:
    A) –NH₂
    B) –OH
    C) –COOH
    D) –CHO
    Answer: B
  • Hybridization of CH₄:
    A) sp
    B) sp²
    C) sp³
    D) dsp²
    Answer: C
  • SN1 reaction:
    A) First order
    B) Second order
    C) Zero
    D) Third
    Answer: A

• Apr 11, 2026 04:20 AM IST

  MHT CET 2024 – Chemistry

  • Nernst equation:
    A) E = IR
    B) E = E° – (0.059/n)logQ
    C) F = qE
    D) None
    Answer: B
  • Oxidation means:
    A) Gain of electrons
    B) Loss of electrons
    C) Gain of proton
    D) None
    Answer: B
  • EMF unit:
    A) Volt
    B) Ampere
    C) Ohm
    D) Joule
    Answer: A

• Apr 11, 2026 04:00 AM IST

  MHT CET 2025 – Chemistry

  • ΔG formula:
    A) ΔH – TΔS
    B) Q – W
    C) PV=nRT
    D) E=mc²
    Answer: A
  • Exothermic reaction:
    A) ΔH positive
    B) ΔH negative
    C) ΔG positive
    D) None
    Answer: B
  • Unit of entropy:
    A) J/K
    B) Volt
    C) Ohm
    D) Watt
    Answer: A

• Apr 11, 2026 03:40 AM IST

  MHT CET 2021 – Physics

  • Photon energy:
    A) hν
    B) mc²
    C) qV
    D) Pt
    Answer: A
  • Unit of flux:
    A) Weber
    B) Tesla
    C) Volt
    D) Ampere
    Answer: A
  • SHM restoring force:
    A) Opposite
    B) Same
    C) Zero
    D) Random
    Answer: A

• Apr 11, 2026 03:20 AM IST

  MHT CET 2022 – Physics

  • KE formula:
    A) mv
    B) ½mv²
    C) mgh
    D) Fd
    Answer: B
  • Work formula:
    A) Fd
    B) VI
    C) IR
    D) qV
    Answer: A
  • Wave speed:
    A) fλ
    B) IR
    C) v/t
    D) rω
    Answer: A

• Apr 11, 2026 03:00 AM IST

  MHT CET 2023 – Physics

  • Magnetic field unit:
    A) Tesla
    B) Volt
    C) Ohm
    D) Joule
    Answer: A
  • Force on charge:
    A) qvB
    B) mv²
    C) IR
    D) VI
    Answer: A
  • Frequency formula:
    A) 1/T
    B) T
    C) vT
    D) None
    Answer: A

• Apr 11, 2026 02:40 AM IST

  MHT CET 2024 – Physics

  • Ohm’s law:
    A) V = IR
    B) P = VI
    C) E = mc²
    D) F = ma
    Answer: A
  • Unit of resistance:
    A) Volt
    B) Ohm
    C) Ampere
    D) Watt
    Answer: B
  • Series resistance:
    A) R₁ + R₂
    B) R₁R₂
    C) 1/R
    D) None
    Answer: A

• Apr 11, 2026 02:20 AM IST

  MHT CET 2025 – Physics

  • Coulomb’s law:
    A) F ∝ 1/r
    B) F ∝ 1/r²
    C) F ∝ r
    D) Constant
    Answer: B
  • Unit of electric field:
    A) Volt
    B) N/C
    C) Ampere
    D) Joule
    Answer: B
  • Power formula:
    A) VI
    B) IR
    C) V/R
    D) I²
    Answer: A

• Apr 11, 2026 02:00 AM IST

  MHT CET 2021 – Mathematics

  • cos0° = ?
    A) 0
    B) 1
    C) -1
    D) 2
    Answer: B
  • Dot product gives:
    A) Scalar
    B) Vector
    C) Zero
    D) Unit
    Answer: A
  • Increasing function condition:
    A) dy/dx < 0
    B) dy/dx > 0
    C) dy/dx = 0
    D) None
    Answer: B

• Apr 11, 2026 01:40 AM IST

  MHT CET 2022 – Mathematics PYQs (Trigonometry)

  • sin²θ + cos²θ = ?
    Answer: 1
  • tanθ = ?
    Answer: sinθ/cosθ
  • Value of sin90°?
    Answer: 1
  • cos0° = ?
    Answer: 1

• Apr 11, 2026 01:20 AM IST

  MHT CET 2023 – Mathematics PYQs (Differentiation)

  • d/dx (x²) = ?
    Answer: 2x
  • d/dx (sinx) = ?
    Answer: cosx
  • Find slope of y = x² at x=1
    Answer: 2
  • Increasing function condition?
    Answer: dy/dx > 0

• Apr 11, 2026 01:00 AM IST

  MHT CET 2024 – Mathematics PYQs (3D Geometry, Probability)

  • Distance between (1,2,3) and (4,6,3)?
    Answer: 5
  • Probability of getting head in coin toss?
    Answer: 1/2
  • Equation of line form?
    Answer: (x-x₁)/l = (y-y₁)/m = (z-z₁)/n
  • Mean of binomial distribution?
    Answer: np

• Apr 11, 2026 12:40 AM IST

  MHT CET 2025 – Mathematics PYQs (Integration, Vectors)

  • ∫₀¹ (x² + 1) dx = ?
    Answer: 4/3
  • If A·B = 0, angle between vectors?
    Answer: 90°
  • Find ∫cosx dx
    Answer: sinx + C
  • Direction ratios of vector (2,4,6)?
    Answer: (1,2,3)

• Apr 11, 2026 12:20 AM IST

  High Probability Questions

  • ∫eˣ dx = ?
    A) eˣ
    B) ln x
    C) x
    D) eˣ/x
    Answer: A
  • Power formula:
    A) VI
    B) IR
    C) V/R
    D) I²R
    Answer: A
  • ΔG < 0 indicates:
    A) Non-spontaneous
    B) Spontaneous
    C) Equilibrium
    D) Endothermic
    Answer: B
  • If V doubles and R constant, I becomes:
    A) Half
    B) Double
    C) Same
    D) Zero
    Answer: B
  • sin²θ + cos²θ = ?
    A) 0
    B) 1
    C) 2
    D) θ
    Answer: B

• Apr 10, 2026 11:40 PM IST

  Chemistry – Formula-Based MCQs

  • Gibbs free energy formula:
    A) ΔH = ΔU + W
    B) ΔG = ΔH – TΔS
    C) E = mc²
    D) PV = nRT
    Answer: B
  • Nernst equation is:
    A) E = IR
    B) E = E° – (0.059/n)logQ
    C) F = qE
    D) W = Fd
    Answer: B
  • Half-life formula (1st order):
    A) t = k/2
    B) t½ = 0.693/k
    C) t = k²
    D) t = 1/k²
    Answer: B
  • Molarity formula:
    A) moles/kg
    B) moles/volume
    C) mass/volume
    D) density/mass
    Answer: B
  • Density (solid state) formula:
    A) m/v
    B) (Z×M)/(a³×Nₐ)
    C) PV=nRT
    D) E=mc²
    Answer: B

• Apr 10, 2026 11:20 PM IST

  Physics – Formula-Based MCQs

  • Coulomb’s law is:
    A) F = qE
    B) F = kq₁q₂/r²
    C) F = ma
    D) F = mv
    Answer: B
  • Ohm’s law is:
    A) P = VI
    B) V = IR
    C) E = mc²
    D) W = Fd
    Answer: B
  • Kinetic energy formula:
    A) mv
    B) ½mv²
    C) mgh
    D) Fd
    Answer: B
  • Wave speed formula:
    A) v = fλ
    B) v = IR
    C) v = at
    D) v = rω
    Answer: A
  • Photon energy formula:
    A) E = mc²
    B) E = hν
    C) E = qV
    D) E = Pt
    Answer: B

• Apr 10, 2026 11:00 PM IST

  Chemistry – Important Formulas

  Thermodynamics

  • ΔG = ΔH – TΔS
  • ΔU = Q – W

   Electrochemistry

  • Ecell = E°cathode – E°anode
  • Nernst Equation:
    E = E° – (0.059/n) logQ

  Chemical Kinetics

  • Rate = k[A]ⁿ
  • t½ = 0.693/k

   Solutions

  • Molarity (M) = moles / volume
  • Molality (m) = moles / kg solvent

   Solid State

  • Density = (Z × M) / (a³ × Nₐ)

   Organic Chemistry

  • General formula Alkane: CₙH₂ₙ₊₂
  • Alcohol group: –OH
  • Amines group: –NH₂

• Apr 10, 2026 10:40 PM IST

  Mathematics – Formula-Based MCQs

  • ∫x³ dx = ?
    A) x⁴
    B) x⁴/4
    C) 4x³
    D) x³/3
    Answer: B
  • d/dx (sinx) = ?
    A) cosx
    B) -cosx
    C) sinx
    D) -sinx
    Answer: A
  • If A·B = 0, vectors are:
    A) Parallel
    B) Perpendicular
    C) Equal
    D) Opposite
    Answer: B
  • Distance between (1,2,3) and (1,2,6) is:
    A) 3
    B) 2
    C) 6
    D) 1
    Answer: A
  • P(A∩B) for independent events is:
    A) P(A)+P(B)
    B) P(A)P(B)
    C) P(A)-P(B)
    D) None
    Answer: B

• Apr 10, 2026 10:20 PM IST

  Physics – Important Formulas

  Electrostatics

  • Coulomb’s Law:
    F = kq₁q₂ / r²
  • Electric field:
    E = F/q

  Current Electricity

  • Ohm’s Law:
    V = IR
  • Power:
    P = VI

  Magnetism

  • B = μ₀I / 2πr
  • Force: F = qvB sinθ

   Work, Energy, Power

  • KE = ½mv²
  • PE = mgh
  • Work = F·d

   Oscillations

  • T = 2π√(l/g)
  • v = ωA

   Modern Physics

  • E = hν
  • E = mc²

• Apr 10, 2026 10:00 PM IST

  Answering Strategy + Most Repeated PCM

  • Most repeated Maths:
    • Integration standard results
    • Vector dot product
  • Most repeated Physics:
    • Ohm’s law numericals
    • Coulomb’s law
  • Most repeated Chemistry:
    • Thermodynamics formulas
    • Organic reaction types
  • Strategy:
    • Skip lengthy problems initially
    • Attempt direct formula-based questions first
    • Keep last 15 minutes for revision

• Apr 10, 2026 09:40 PM IST

  Mathematics (Vectors MCQs)

  • A·B = 0 means:
    A) Parallel
    B) Perpendicular
    C) Equal
    D) None
    Answer: B
  • Cross product gives:
    A) Scalar
    B) Vector
    C) Zero
    D) Unit
    Answer: B
  • Unit vector magnitude:
    A) 0
    B) 1
    C) ∞
    D) -1
    Answer: B
  • Parallel vectors angle:
    A) 90°
    B) 0°
    C) 180°
    D) 45°
    Answer: B
  • |A×B| represents:
    Answer: Area

• Apr 10, 2026 09:20 PM IST

  Chemistry (p-Block Short Answers)

  • Group 17 elements called?
    Answer: Halogens
  • Most electronegative element?
    Answer: Fluorine
  • Noble gases are?
    Answer: Inert
  • Oxidation state of oxygen?
    Answer: -2
  • Chlorine valency?
    Answer: 1

• Apr 10, 2026 09:00 PM IST

  Mathematics – Important Formulas

  Algebra & Calculus

  • Derivative:
    d/dx (xⁿ) = n·xⁿ⁻¹
  • Integration:
    ∫xⁿ dx = xⁿ⁺¹/(n+1)
  • ∫1/x dx = ln|x|
  • ∫eˣ dx = eˣ

   Definite Integration

  • ∫₀ᵃ f(x)dx = ∫₀ᵃ f(a-x)dx
  • ∫₀ᵃ x dx = a²/2

  Trigonometry

  • sin²θ + cos²θ = 1
  • tanθ = sinθ / cosθ
  • 1 + tan²θ = sec²θ

  Vectors

  • A·B = |A||B|cosθ
  • |A×B| = |A||B|sinθ
  • Unit vector = A / |A|

   3D Geometry

  • Distance = √[(x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²]
  • Line: (x-x₁)/l = (y-y₁)/m = (z-z₁)/n

   Probability

  • P(A) = Favorable / Total
  • P(A∩B) = P(A)P(B) (independent)

• Apr 10, 2026 08:40 PM IST

  Physics (Current Electricity Problems)

  • If V=12V, I=3A → R=?
    Answer: 4Ω
  • Power if V=10V, I=2A
    Answer: 20W
  • Series resistance (2Ω + 3Ω)?
    Answer: 5Ω
  • Parallel (2Ω, 2Ω)?
    Answer: 1Ω
  • If resistance doubles, current?
    Answer: Half

• Apr 10, 2026 08:20 PM IST

  Mathematics (Probability Questions)

  • What is conditional probability?
    Answer: Probability under condition
  • Independent events mean?
    Answer: No effect on each other
  • Total probability formula?
    Answer: Sum of all outcomes
  • Mean of binomial distribution?
    Answer: np
  • Variance formula?
    Answer: npq

• Apr 10, 2026 08:00 PM IST

  Chemistry (Organic Chemistry MCQs)

  • SN1 reaction is:
    A) One step
    B) Two step
    C) Three step
    D) Zero step
    Answer: B
  • Carbocation stability order:
    A) 1° > 2° > 3°
    B) 3° > 2° > 1°
    C) Equal
    D) None
    Answer: B
  • Nucleophile is:
    A) Electron acceptor
    B) Electron donor
    C) Neutral
    D) None
    Answer: B
  • Electrophile is:
    A) Donor
    B) Acceptor
    C) Both
    D) None
    Answer: B
  • Functional group of alcohol:
    Answer: –OH

• Apr 10, 2026 07:40 PM IST

  xam Strategy & Time Management

  • Attempt Mathematics first only if strong, else start with Chemistry
  • Chemistry can give quick 40–45 marks in less time
  • Physics numericals: avoid lengthy calculations initially
  • Divide paper:
    • First round → easy questions
    • Second → moderate
    • Last → difficult
  • Maintain accuracy above 80%
  • Time split (ideal):
    • Maths: 90 min
    • Physics: 60 min
    • Chemistry: 45 min

• Apr 10, 2026 07:20 PM IST

  Physics (Most Repeated MCQs – Electrostatics)

  • Electric field due to point charge is:
    A) ∝ 1/r
    B) ∝ 1/r²
    C) ∝ r
    D) Constant
    Answer: B
  • Potential is scalar because:
    A) Has direction
    B) No direction
    C) Both
    D) None
    Answer: B
  • Unit of capacitance:
    A) Farad
    B) Volt
    C) Ampere
    D) Ohm
    Answer: A
  • Electric lines never:
    A) Intersect
    B) Curve
    C) Expand
    D) Contract
    Answer: A
  • Work done moving charge in equipotential surface:
    Answer: Zero

• Apr 10, 2026 07:00 PM IST

  Mathematics (Trigonometry Short Answers)

  • sin²θ + cos²θ = ?
    Answer: 1
  • tanθ = ?
    Answer: sinθ/cosθ
  • secθ = ?
    Answer: 1/cosθ
  • cotθ = ?
    Answer: cosθ/sinθ
  • Value of sin0°?
    Answer: 0

• Apr 10, 2026 06:40 PM IST

  Chemistry (Coordination Compounds Problems)

  • Find oxidation state of Co in [Co(NH₃)₆]³⁺
    Answer: +3
  • Coordination number in [Ni(CO)₄]?
    Answer: 4
  • Ligand type NH₃?
    Answer: Neutral
  • If ligand donates 2 pairs?
    Answer: Bidentate
  • Example of chelate?
    Answer: EDTA

• Apr 10, 2026 06:20 PM IST

  Physics (Modern Physics Questions)

  • What is photon?
    Answer: Packet of energy
  • Energy of photon formula?
    Answer: E = hν
  • What is photoelectric effect?
    Answer: Emission of electrons
  • Threshold frequency means?
    Answer: Minimum frequency required
  • Planck constant value?
    Answer: 6.626×10⁻³⁴ Js

• Apr 10, 2026 06:00 PM IST

  Mathematics (Definite Integration MCQs)

  • ∫₀π sinx dx = ?
    A) 0
    B) 1
    C) 2
    D) π
    Answer: C
  • ∫₀¹ x² dx = ?
    A) 1/2
    B) 1/3
    C) 1
    D) 2
    Answer: B
  • ∫₀π cosx dx = ?
    A) 0
    B) 1
    C) 2
    D) π
    Answer: A
  • ∫₀a dx = ?
    A) a
    B) 0
    C) a²
    D) 1
    Answer: A
  • Property: ∫₀a f(x)dx = ∫₀a f(a-x)dx is used for?
    Answer: Simplification

• Apr 10, 2026 05:40 PM IST

  Physics (Wave Optics Short Answers)

  • What is interference?
    Answer: Superposition of waves
  • Diffraction means?
    Answer: Bending of light
  • Unit of wavelength?
    Answer: Meter
  • Light behaves as?
    Answer: Wave
  • Fringe pattern is due to?
    Answer: Interference

• Apr 10, 2026 05:20 PM IST

  Mathematics (Application of Derivatives Problems)

  • Find slope of y = 3x² at x=1
    Answer: 6
  • Maximum of y = -x² occurs at?
    Answer: x = 0
  • Minimum of y = x² occurs at?
    Answer: x = 0
  • dy/dx of x³ is?
    Answer: 3x²
  • Increasing interval condition?
    Answer: dy/dx > 0

• Apr 10, 2026 05:00 PM IST

  Chemistry (Polymers Questions)

  • What is polymer?
    Answer: Large molecule of repeating units
  • Define monomer
    Answer: Small unit forming polymer
  • Example of natural polymer?
    Answer: Rubber
  • Example of synthetic polymer?
    Answer: Nylon
  • Polymerization types?
    Answer: Addition and condensation

• Apr 10, 2026 04:40 PM IST

  Physics (Oscillations MCQs)

  • Time period of simple pendulum?
    A) 2π√(l/g)
    B) √(l/g)
    C) l/g
    D) g/l
    Answer: A
  • Unit of frequency?
    A) Hertz
    B) Joule
    C) Newton
    D) Volt
    Answer: A
  • SHM restoring force is:
    A) Constant
    B) Opposite direction
    C) Zero
    D) Increasing
    Answer: B
  • Frequency = 1/T means?
    A) Time
    B) Speed
    C) Inverse of time period
    D) Distance
    Answer: C
  • Maximum displacement is?
    Answer: Amplitude

• Apr 10, 2026 04:20 PM IST

  Mathematics (Differential Equations Short Answers)

  • Order of differential equation means?
    Answer: Highest derivative
  • Degree of equation means?
    Answer: Power of highest derivative
  • General solution contains?
    Answer: Arbitrary constant
  • Particular solution means?
    Answer: Specific solution
  • Linear equation form?
    Answer: dy/dx + Py = Q

• Apr 10, 2026 04:00 PM IST

  Chemistry (Solid State Problems)

  • Packing efficiency of BCC?
    Answer: 68%
  • Number of atoms in FCC unit cell?
    Answer: 4
  • Coordination number of BCC?
    Answer: 8
  • If edge length = a, radius relation in FCC?
    Answer: a = 2√2 r
  • Density depends on?
    Answer: Mass and volume

• Apr 10, 2026 03:40 PM IST

  Physics (Semiconductors Questions)

  • What is a semiconductor?
    Answer: Material with intermediate conductivity
  • Define intrinsic semiconductor
    Answer: Pure semiconductor
  • What is doping?
    Answer: Adding impurities
  • Define p-type semiconductor
    Answer: Excess holes
  • Define n-type semiconductor
    Answer: Excess electrons

• Apr 10, 2026 03:20 PM IST

  Mathematics (3D Geometry MCQs)

  • Distance between (1,2,3) and (4,6,3) is:
    A) 3
    B) 4
    C) 5
    D) 6
    Answer: C
  • Direction ratios of x-axis are:
    A) (1,0,0)
    B) (0,1,0)
    C) (0,0,1)
    D) (1,1,1)
    Answer: A
  • Equation of plane is:
    A) ax+by+cz+d=0
    B) x+y+z=1
    C) x²+y²+z²=0
    D) None
    Answer: A
  • Shortest distance formula uses:
    A) Dot product
    B) Cross product
    C) Distance formula
    D) Ratio
    Answer: B
  • Collinear points lie on:
    A) Plane
    B) Line
    C) Circle
    D) Axis
    Answer: B

• Apr 10, 2026 03:00 PM IST

  Physics (Magnetism Short Answers)

  • Unit of magnetic field?
    Answer: Tesla
  • Right-hand rule gives?
    Answer: Direction
  • Magnetic field lines are?
    Answer: Closed loops
  • SI unit of flux?
    Answer: Weber
  • Magnetism due to?
    Answer: Moving charges

• Apr 10, 2026 02:40 PM IST

  Mathematics (Vectors Problems)

  • Find A·B if A=(1,2,3), B=(1,1,1)
    Answer: 6
  • If vectors perpendicular, dot product?
    Answer: 0
  • Magnitude of (3,4)?
    Answer: 5
  • Cross product gives?
    Answer: Area
  • Unit vector of (2,0,0)?
    Answer: (1,0,0)

• Apr 10, 2026 02:20 PM IST

  Chemistry (Organic Chemistry Questions)

  • Define homologous series
    Answer: Same functional group
  • What is isomerism?
    Answer: Same formula, different structure
  • Define nucleophile
    Answer: Electron donor
  • What is electrophile?
    Answer: Electron acceptor
  • Define functional group
    Answer: Reactive group in compound

• Apr 10, 2026 02:00 PM IST

  Physics (Electrostatics MCQs)

  • Electric field unit?
    A) N/C
    B) Volt
    C) Ampere
    D) Joule
    Answer: A
  • Force between charges depends on?
    A) Distance
    B) Charges
    C) Both
    D) None
    Answer: C
  • Potential difference unit?
    A) Volt
    B) Ohm
    C) Tesla
    D) Watt
    Answer: A
  • Electric field direction?
    A) Positive to negative
    B) Negative to positive
    C) Random
    D) Circular
    Answer: A
  • Coulomb’s law constant unit?
    Answer: Nm²/C²

• Apr 10, 2026 01:40 PM IST

  Mathematics (Probability Short Answers)

  • Probability range?
    Answer: 0 to 1
  • Impossible event probability?
    Answer: 0
  • Certain event probability?
    Answer: 1
  • Sum of probabilities = ?
    Answer: 1
  • Independent events mean?
    Answer: No effect on each other

• Apr 10, 2026 01:20 PM IST

  Chemistry (Thermodynamics Problems)

  • If ΔH = -50J, reaction type?
    Answer: Exothermic
  • If ΔG < 0, reaction is?
    Answer: Spontaneous
  • If T increases, effect on ΔG?
    Answer: Depends on ΔS
  • If ΔU = 10J, W = 5J, find Q
    Answer: 15J
  • If ΔS positive, randomness?
    Answer: Increases

• Apr 10, 2026 01:00 PM IST

  Physics (Current Electricity Questions)

  • State Ohm’s law
    Answer: V is proportional to I
  • Define resistance
    Answer: Opposition to current flow
  • What is resistivity?
    Answer: Property of material
  • Define electric current
    Answer: Flow of charge
  • What is potential difference?
    Answer: Work done per charge

• Apr 10, 2026 12:40 PM IST

  Mathematics (Integration MCQs)

  • ∫cosx dx = ?
    A) sinx
    B) -sinx
    C) cosx
    D) -cosx
    Answer: A
  • ∫1/x dx = ?
    A) x
    B) ln|x|
    C) x²
    D) eˣ
    Answer: B
  • ∫eˣ dx = ?
    A) eˣ
    B) xeˣ
    C) ln x
    D) 1/eˣ
    Answer: A
  • ∫0 dx = ?
    A) 0
    B) 1
    C) C
    D) x
    Answer: C
  • ∫x dx = ?
    A) x²
    B) x²/2
    C) 2x
    D) ln x
    Answer: B

• Apr 10, 2026 12:20 PM IST

  Physics (Work, Energy, Power)

  • Q1: Work formula?
    Answer: W = F·d
  • Q2: Kinetic energy formula?
    Answer: ½mv²
  • MCQ: Unit of work is:
    A) Watt
    B) Joule
    C) Newton
    D) Pascal
    Answer: B
  • Q3: Potential energy formula?
    Answer: mgh
  • Problem: Find KE if m=2kg, v=3m/s
    Answer: ½×2×9 = 9J

• Apr 10, 2026 12:00 PM IST

  Mathematics (Differentiation)

  • Q1: d/dx (x³ + 2x²) = ?
    Answer: 3x² + 4x
  • Q2: d/dx (sinx) = ?
    Answer: cosx
  • MCQ: Derivative of ln(x) is:
    A) 1/x
    B) x
    C) ln(x)
    D) x²
    Answer: A
  • Q3: If y = eˣ, dy/dx = ?
    Answer: eˣ
  • Problem: Find slope of y = x² at x = 2
    Answer: dy/dx = 2x → 4

• Apr 10, 2026 11:40 AM IST

  Physics (Rotational Motion)

  • Q1: Torque formula?
    Answer: τ = r × F
  • Q2: Angular momentum formula?
    Answer: L = Iω
  • Q3: Moment of inertia unit?
    Answer: kg m²
  • Q4: Work done in rotation?
    Answer: τθ
  • Q5: Angular velocity unit?
    Answer: rad/s

• Apr 10, 2026 11:20 AM IST

  Mathematics (Integration)

  • Q1: ∫x² dx = ?
    Answer: x³/3 + C
  • Q2: ∫₀¹ x dx = ?
    Answer: 1/2
  • Q3: ∫1/x dx = ?
    Answer: ln|x| + C
  • Q4: ∫cosx dx = ?
    Answer: sinx + C
  • Q5: ∫eˣ dx = ?
    Answer: eˣ + C

• Apr 10, 2026 11:00 AM IST

  Chemistry (Solid State)

  • Q1: What is a unit cell?
    Answer: Smallest repeating unit of a crystal
  • Q2: Coordination number of FCC?
    Answer: 12
  • Q3: Packing efficiency of FCC?
    Answer: 74%
  • Q4: Name a type of defect in crystals
    Answer: Schottky defect
  • Q5: What is a crystal lattice?
    Answer: Regular arrangement of atoms

• Apr 10, 2026 10:40 AM IST

  Physics (Waves & Optics)

  • Q1: Wave speed formula?
    Answer: v = fλ
  • Q2: Unit of frequency?
    Answer: Hertz
  • Q3: What is interference?
    Answer: Superposition of waves
  • Q4: Diffraction occurs due to?
    Answer: Wave nature of light
  • Q5: Young’s double slit experiment shows?
    Answer: Interference

• Apr 10, 2026 10:20 AM IST

  Mathematics (3D Geometry)

  • Q1: Direction ratios represent?
    Answer: Line direction
  • Q2: Distance between two points in 3D space?
    Answer: √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²]
  • Q3: Equation of line in symmetric form?
    Answer: (x-x₁)/l = (y-y₁)/m = (z-z₁)/n
  • Q4: Angle between two lines is found using?
    Answer: Dot product
  • Q5: Condition for collinear points?
    Answer: Same direction ratios

• Apr 10, 2026 10:00 AM IST

  Chemistry (Electrochemistry)

  • Q1: Nernst equation?
    A: E = E° – (0.059/n) logQ
  • Q2: Unit of EMF?
    A: Volt
  • Q3: Oxidation means?
    A: Loss of electrons
  • Q4: Reduction means?
    A: Gain of electrons
  • Q5: Anode is?
    A: Oxidation site

• Apr 10, 2026 09:40 AM IST

  Mathematics (Trigonometry)

  • Q1: sin²θ + cos²θ = ?
    A: 1
  • Q2: tanθ = ?
    A: sinθ/cosθ
  • Q3: sin 90° = ?
    A: 1
  • Q4: cos 0° = ?
    A: 1
  • Q5: tan 45° = ?
    A: 1

• Apr 10, 2026 09:20 AM IST

  Chemistry (Thermodynamics)

  • Q1: First law of thermodynamics?
    A: ΔQ = ΔU + W
  • Q2: Gibbs free energy formula?
    A: ΔG = ΔH – TΔS
  • Q3: Condition for spontaneity?
    A: ΔG < 0
  • Q4: Unit of entropy?
    A: J/K
  • Q5: Exothermic reaction sign of ΔH?
    A: Negative

• Apr 10, 2026 09:00 AM IST

  Physics (Electrostatics)

  • Q1: Coulomb’s law formula?
    A:  F = kq₁q₂/r²
  • Q2: Unit of electric potential?
    A:  Volt
  • Q3: Electric field = ?
    A:  Force/Charge
  • Q4: Potential energy of charge = ?
    A: qV
  • Q5: Permittivity of free space symbol?
    A: ε₀

• Apr 10, 2026 08:40 AM IST

  Mathematics (Vectors)

  • Q1: Dot product of perpendicular vectors?
    A: 0
  • Q2: |A×B| gives?
    A: Area of parallelogram
  • Q3: If A=(1,0,0), B=(0,1,0), A·B = ?
    A: 0
  • Q4: Unit vector formula?
    A: A / |A|
  • Q5: Angle between parallel vectors?
    A: 0°

• Apr 10, 2026 08:20 AM IST

  Chemistry (Organic Chemistry Basics)

  • Q1: General formula of alkane?
     A: CₙH₂ₙ₊₂
  • Q2: Functional group in alcohol?
     A: –OH
  • Q3: SN1 reaction order?
    A:  First order
  • Q4: Hybridization of carbon in methane?
    A:  sp³
  • Q5: Example of nucleophile?
    A:  OH⁻

• Apr 10, 2026 08:00 AM IST

  Physics (Magnetism)

  • Q1: Magnetic field around straight conductor formula?
     B = μ₀I / 2πr
  • Q2: Unit of magnetic field?
     Tesla
  • Q3: Force on moving charge formula?
     F = qvB sinθ
  • Q4: Direction of magnetic field is given by?
     Right-hand thumb rule
  • Q5: SI unit of magnetic flux?
     Weber

• Apr 10, 2026 07:40 AM IST

  Mathematics (Probability & Distribution)

  • Q1: Find probability of getting a number divisible by 2 when a die is thrown
     Answer: 3/6 = 1/2
  • Q2: Mean of binomial distribution = ?
     Answer: np
  • Q3: Variance of binomial distribution = ?
     Answer: npq
  • Q4: If P(A)=0.5, P(B)=0.4 and A, B independent, find P(A∩B)
     Answer: 0.5 × 0.4 = 0.2
  • Q5: If total outcomes = 10 and favorable = 3, probability = ?
     Answer: 3/10

• Apr 10, 2026 07:20 AM IST

  Exam Strategy Tips

  • Attempt easy questions first
  • Do not get stuck on a single question
  • Maintain time per question ~1 minute
  • Accuracy is more important than attempts
  • Keep last 10 minutes for review

• Apr 10, 2026 07:00 AM IST

  Chemistry (Coordination Compounds)

  • Key Concepts:
    • Ligands
    • Coordination number
    • Isomerism
  • Example:
    • [Co(NH₃)₆]³⁺ → Coordination number = 6
  • Frequently Asked:
    • Identify ligand type
    • Calculate oxidation state

• Apr 10, 2026 06:40 AM IST

  Physics (Current Electricity)

  • Ohm’s Law:
     V = IR
  • Q: Find resistance if V=10V, I=2A
     R = 5Ω
  • Important Topics:
    • Series & parallel circuits
    • Kirchhoff’s laws

• Apr 10, 2026 06:20 AM IST

  Maths (Vectors Important Problems)

  • ind dot product:
    A = (1,2,3), B = (4,5,6)
     A·B = 1×4 + 2×5 + 3×6 = 32
  • Key Concepts:
    • Dot product → angle between vectors
    • Cross product → area
  • Formula:
    • A·B = |A||B|cosθ
  • Note:
    • 4–5 questions expected
    • Very scoring and less time-consuming

• Apr 10, 2026 06:00 AM IST

  Chemistry Quick Revision (Thermodynamics)

  • Important Formula:
    • ΔG = ΔH – TΔS
  • Key Questions:
    • What is spontaneity condition?
       ΔG < 0
  • Concepts to Revise:
    • Enthalpy change
    • Entropy
    • First law
  • Tip:
    • Usually 3 direct questions expected
    • Focus on formulas rather than theory

• Apr 10, 2026 05:40 AM IST

  Physics MCQs (Electrostatics)

  • Q1: Force between two charges depends on?
     Answer: Distance and magnitude (Coulomb’s Law)
  • Formula:
    • F = k q₁q₂ / r²
  • Q2: Unit of electric field?
     Answer: N/C
  • Key Focus Areas:
    • Electric field lines
    • Potential difference
    • Capacitors
  • Tip:
    • Mostly direct formula-based questions
    • Solve numericals quickly for scoring advantage

• Apr 10, 2026 05:20 AM IST

  Mathematics Important Questions (Integration)

  • Evaluate: ∫(x² + 2x + 1) dx
     Solution: = x³/3 + x² + x + C
  • Evaluate definite integral: ∫₀¹ x² dx
    Solution = [x³/3]₀¹ = 1/3
  • Key Formula:
    • ∫xⁿ dx = xⁿ⁺¹/(n+1)
    • ∫1/x dx = ln|x|
  • Important Tips:
    • Practice substitution method
    • Focus on standard integrals
    • Expect 4–5 questions from this unit

• Apr 10, 2026 05:00 AM IST

  High Scoring Units to Revise First

  • Start your day by focusing on highest scoring chapters across PCM
  • Mathematics: Integration, Vectors, 3D Geometry (can give 12–15 questions combined)
  • Physics: Electrostatics + Current Electricity (formula-based, quick scoring)
  • Chemistry: Thermodynamics + Coordination Compounds (direct theory + numericals)
  • Revise formulas instead of reading theory
  • Keep a short notebook for a last-minute glance
  • Avoid new topics now—focus only on accuracy and speed