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

12 00 PM IST - 11 Apr'26

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.

11 30 AM IST - 11 Apr'26

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.

11 00 AM IST - 11 Apr'26

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.

10 30 AM IST - 11 Apr'26

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.

10 00 AM IST - 11 Apr'26

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.

09 30 AM IST - 11 Apr'26

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.

09 00 AM IST - 11 Apr'26

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.

08 40 AM IST - 11 Apr'26

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

08 20 AM IST - 11 Apr'26

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

08 00 AM IST - 11 Apr'26

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

07 40 AM IST - 11 Apr'26

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

07 20 AM IST - 11 Apr'26

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

07 00 AM IST - 11 Apr'26

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

06 40 AM IST - 11 Apr'26

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

06 20 AM IST - 11 Apr'26

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

06 00 AM IST - 11 Apr'26

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

05 40 AM IST - 11 Apr'26

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°

05 20 AM IST - 11 Apr'26

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

05 00 AM IST - 11 Apr'26

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

04 40 AM IST - 11 Apr'26

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

04 20 AM IST - 11 Apr'26

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

04 00 AM IST - 11 Apr'26

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

03 40 AM IST - 11 Apr'26

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

03 20 AM IST - 11 Apr'26

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

03 00 AM IST - 11 Apr'26

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

02 40 AM IST - 11 Apr'26

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

02 20 AM IST - 11 Apr'26

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

02 00 AM IST - 11 Apr'26

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

01 40 AM IST - 11 Apr'26

MHT CET 2022 – Mathematics PYQs (Trigonometry)

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

01 20 AM IST - 11 Apr'26

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

01 00 AM IST - 11 Apr'26

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

12 40 AM IST - 11 Apr'26

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)

12 20 AM IST - 11 Apr'26

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

11 40 PM IST - 10 Apr'26

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

11 20 PM IST - 10 Apr'26

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

11 00 PM IST - 10 Apr'26

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

10 40 PM IST - 10 Apr'26

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

10 20 PM IST - 10 Apr'26

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

10 00 PM IST - 10 Apr'26

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

09 40 PM IST - 10 Apr'26

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

09 20 PM IST - 10 Apr'26

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

09 00 PM IST - 10 Apr'26

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)

08 40 PM IST - 10 Apr'26

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

08 20 PM IST - 10 Apr'26

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

08 00 PM IST - 10 Apr'26

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

07 40 PM IST - 10 Apr'26

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

07 20 PM IST - 10 Apr'26

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

07 00 PM IST - 10 Apr'26

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

06 40 PM IST - 10 Apr'26

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

06 20 PM IST - 10 Apr'26

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

06 00 PM IST - 10 Apr'26

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

05 40 PM IST - 10 Apr'26

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

05 20 PM IST - 10 Apr'26

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

05 00 PM IST - 10 Apr'26

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

04 40 PM IST - 10 Apr'26

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

04 20 PM IST - 10 Apr'26

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

04 00 PM IST - 10 Apr'26

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

03 40 PM IST - 10 Apr'26

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

03 20 PM IST - 10 Apr'26

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

03 00 PM IST - 10 Apr'26

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

02 40 PM IST - 10 Apr'26

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)

02 20 PM IST - 10 Apr'26

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

02 00 PM IST - 10 Apr'26

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

01 40 PM IST - 10 Apr'26

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

01 20 PM IST - 10 Apr'26

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

01 00 PM IST - 10 Apr'26

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

12 40 PM IST - 10 Apr'26

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

12 20 PM IST - 10 Apr'26

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

12 00 PM IST - 10 Apr'26

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

11 40 AM IST - 10 Apr'26

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

11 20 AM IST - 10 Apr'26

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

11 00 AM IST - 10 Apr'26

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

10 40 AM IST - 10 Apr'26

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

10 20 AM IST - 10 Apr'26

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

10 00 AM IST - 10 Apr'26

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

09 40 AM IST - 10 Apr'26

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

09 20 AM IST - 10 Apr'26

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

09 00 AM IST - 10 Apr'26

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

08 40 AM IST - 10 Apr'26

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°

08 20 AM IST - 10 Apr'26

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⁻

08 00 AM IST - 10 Apr'26

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

07 40 AM IST - 10 Apr'26

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

07 20 AM IST - 10 Apr'26

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

07 00 AM IST - 10 Apr'26

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

06 40 AM IST - 10 Apr'26

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

06 20 AM IST - 10 Apr'26

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

06 00 AM IST - 10 Apr'26

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

05 40 AM IST - 10 Apr'26

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

05 20 AM IST - 10 Apr'26

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

05 00 AM IST - 10 Apr'26

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