give me excepted pyqs for iat exam for iiser exam biology
IISER IAT exam biology previous year questions expected PYQs 2024 2025
IISER aptitude test IAT biology syllabus important topics questions
IAT biology important topics chapter wise weightage previous year questions
IAT biology high weightage topics important chapters
Which enzyme converts inactive trypsinogen into active trypsin? (A) Pepsin (B) Enterokinase (C) Chymotrypsin (D) Amylase Answer: (B) Enterokinase
In a testcross of a dihybrid, the ratio of offspring is: (A) 9:3:3:1 (B) 1:1:1:1 (C) 3:1 (D) 1:2:1 Answer: (B) 1:1:1:1
The first stable product of CO₂ fixation in C4 plants is: (A) 3-PGA (B) OAA (C) Pyruvate (D) Malate Answer: (B) OAA (Oxaloacetate)
Which type of ecological pyramid is always upright? (A) Pyramid of numbers (B) Pyramid of biomass (C) Pyramid of energy (D) All of the above Answer: (C) Pyramid of energy
In PCR, Taq polymerase is used because it: (A) Works at low temperature (B) Is heat-stable (C) Can replicate RNA (D) Requires no primer Answer: (B) Is heat-stable
| Chapter | Questions/Year | Priority |
|---|---|---|
| Human Physiology | 2-3 | ⭐⭐⭐ Highest |
| Genetics & Molecular Biology | 2-3 | ⭐⭐⭐ Highest |
| Plant Physiology | 2 | ⭐⭐⭐ High |
| Ecology | 1-2 | ⭐⭐ High |
| Cell Biology & Biomolecules | 1-2 | ⭐⭐ High |
| Reproduction | 1-2 | ⭐⭐ Medium |
| Biotechnology | 1-2 | ⭐⭐ Medium |
| Evolution | 1 | ⭐ Low-Medium |
Search for 2024-2025 IISER IAT biology solved papers and analysis
IISER IAT 2025 biology solved paper analysis questions answers
IISER IAT 2024 biology solved paper topic wise analysis PDF
IAT biology solved questions 2024 2025 answers chapter wise
| Detail | Info |
|---|---|
| Date | May 25, 2025 |
| Biology difficulty | Easy |
| Good attempt target | 12-13 out of 15 |
| Question types | NCERT-based, diagram interpretation |
| Topics covered | Cell Biology, Genetics, Physiology |
| Chapter | No. of Questions |
|---|---|
| Human Physiology | 3-4 (highest) |
| Genetics & Evolution | 2-3 |
| Ecology | 2 |
| Plant Physiology | 2 |
| Cell Structure & Function | 1-2 |
| Reproduction | 1 |
| Biotechnology | 1 |
| Diversity of Life / Structural Organisation | 1 |
| Chapter | No. of Questions | Difficulty | Key Topics Asked |
|---|---|---|---|
| Human Physiology | 3-4 | Moderate | O₂-Hb curve, hormones, nervous system |
| Genetics & Molecular Biology | 2-3 | Moderate | Meiosis, DNA replication, inheritance |
| Reproduction | 2 | Easy | Double fertilization, ploidy, megasporogenesis |
| Plant Physiology | 2 | Easy | Photosynthesis, plant hormones |
| Ecology | 1-2 | Easy | Population growth, food chains |
| Biotechnology | 1 | Easy-Moderate | PCR, recombinant DNA |
| Cell Biology | 1 | Easy | Cell cycle, organelles |
| Resource | What's Available |
|---|---|
| CRISPR Learning | IAT 2017-2025 PDFs + Solutions + Detailed Analysis |
| Physics Wallah IAT Papers | IAT papers PDF, Hindi & English |
| CollegeDunia IAT 2024 Solutions | Step-by-step solved paper (2024) |
| Shiksha Exam Analysis | Year-wise analysis 2022-2025 |
| Official IISER | Official answer keys after exam |
| ExamSide PYQs | Chapter-wise PYQs with solutions |
mara 7 june ko paper h mara ko important pyqs btao jo aa skta h expected h
IISER IAT 2026 biology expected questions important topics June exam
IAT 2026 biology PYQ repeated questions pattern analysis
IAT 2026 biology most important expected questions PYQ
Haemoglobin ka oxygen dissociation curve right shift kab hota hai? (A) High pH (B) Low CO₂ (C) High temperature (D) Low 2,3-BPG
Glomerular filtrate mein se glucose kahan reabsorb hota hai? (A) Loop of Henle (B) Collecting duct (C) Proximal Convoluted Tubule (D) Distal Convoluted Tubule
Insulin aur Glucagon dono kahan se secrete hote hain? (A) Adrenal cortex (B) Islets of Langerhans (C) Thyroid (D) Pituitary
Resting membrane potential mein axon ke andar kaun sa ion zyada hota hai? (A) Na⁺ (B) Cl⁻ (C) K⁺ (D) Ca²⁺
DNA replication mein Okazaki fragments kahan bante hain? (A) Leading strand (B) Lagging strand (C) Both strands (D) Template strand only
Lac operon mein jab lactose absent ho, toh kya hota hai? (A) RNA polymerase operator se bind karta hai (B) Repressor operator se bind karta hai - transcription rokta hai (C) Structural genes express hote hain (D) Beta-galactosidase banti hai
AaBbCc × AaBbCc cross mein AABBcc genotype ki probability kya hai? (A) 1/4 (B) 1/8 (C) 1/16 (D) 1/64
C4 plants mein CO₂ fixation ki pehli jagah kahan hoti hai? (A) Bundle sheath cells (B) Mesophyll cells (C) Guard cells (D) Epidermal cells
Fruit ripening ke liye konsa hormone zimmedar hai? (A) Auxin (B) Gibberellin (C) Ethylene (D) Cytokinin
| Hormone | Kaam |
|---|---|
| Auxin | Cell elongation, apical dominance |
| Gibberellin | Stem elongation, seed germination |
| Cytokinin | Cell division, aging rokna |
| Ethylene | Fruit ripening, leaf abscission |
| ABA | Stomata close, dormancy |
Logistic growth mein population growth sabse zyada kab hoti hai? (A) Jab N = K (B) Jab N bahut chhota ho (C) Jab N = K/2 (D) K ke baad
Konsa ecological pyramid hamesha upright (seedha) hota hai? (A) Numbers ka pyramid (B) Biomass ka pyramid (C) Energy ka pyramid (D) Dono A aur B
Angiosperm mein endosperm kaise banta hai? (A) Egg + sperm fusion se (B) 2 polar nuclei + sperm fusion se (C) Synergids se (D) Antipodal cells se
PCR mein annealing step mein kya hota hai? (A) DNA double helix toot ta hai (B) Primers template se bind karte hain (C) DNA synthesis hoti hai (D) Taq polymerase activate hota hai
Restriction enzyme kya recognize karta hai? (A) Random sequences (B) Palindromic sequences (C) Promoter sequences (D) Terminator sequences
S-phase mein kya hota hai? (A) Cell divide hoti hai (B) DNA replication hoti hai (C) Cell badi hoti hai (D) Chromosomes condense hote hain
| Aaj (4 June) | Kal (5 June) | Parso (6 June) |
|---|---|---|
| Human Physiology poora | Genetics + Molecular Bio | Mock test + revision |
| Ecology + Reproduction | Biotechnology + Plant Physio | Weak topics revise karo |
| PYQ 2024 solve karo | PYQ 2023 solve karo | Sirf formulas/tables review |
Generate a revision cheat sheet with all formulas and concepts
IAT 2026 Biology CheatSheet
PDF Document · PDF
| Section | Content |
|---|---|
| Human Physiology | O₂-Hb curve (Bohr effect), Nephron table, Hormones complete list, Action potential ion chart |
| Genetics & Molecular Bio | Mendelian ratios, DNA replication enzymes, Transcription vs Translation, Lac operon, Genetic code properties |
| Plant Physiology | C3 vs C4 vs CAM, Photosynthesis (light + dark reactions), All 5 plant hormones |
| Ecology | Logistic growth formula (dN/dt), Pyramids, Biotic interactions, Nitrogen cycle organisms |
| Reproduction | Double fertilization ploidy formula, Menstrual cycle hormones, Spermatogenesis vs Oogenesis |
| Biotechnology | PCR steps + temperatures, Restriction enzymes, Gel electrophoresis, Bt cotton, Golden Rice |
| Cell Biology | Cell cycle phases, Mitosis vs Meiosis, All organelle functions |
| Evolution | H-W equation, Homologous vs Analogous, Genetic drift |
| Master Formula Sheet | Sabhi formulas ek jagah - dN/dt, p²+2pq+q²=1, PCR, ploidy, 10% rule, cardiac output |
| Exam Day Strategy | Time management, negative marking guide, good attempt targets |
Make a practice test on these topics with mock questions
IAT 2026 Biology MockTest
PDF Document · PDF
| Q No. | Topic | Concept |
|---|---|---|
| Q1 | Human Physiology | Glucosuria - PCT transport maximum |
| Q2 | Human Physiology | O₂-Hb curve - Bohr effect |
| Q3 | Genetics | Dihybrid test cross ratio |
| Q4 | Molecular Bio | DNA replication - enzyme sequence |
| Q5 | Plant Physiology | C4 vs C3 plants - PEP carboxylase |
| Q6 | Ecology | Logistic growth - max dN/dt |
| Q7 | Reproduction | Double fertilization ploidy calculation |
| Q8 | Biotechnology | PCR amplification (2ⁿ formula) |
| Q9 | Cell Biology | p53 tumour suppressor mechanism |
| Q10 | Molecular Bio | Lac operon - super-repressor mutation |
| Q11 | Human Physiology | Primary hypothyroidism - TSH feedback |
| Q12 | Evolution | Hardy-Weinberg - find heterozygote freq |
| Q13 | Ecology | Mycorrhizae - type of interaction |
| Q14 | Reproduction | LH surge and ovulation |
| Q15 | Cell Biology | Endosymbiotic theory evidence |
pdf open he nhi ho rha
IAT 2026 MockTest
HTML File · HTML
| Feature | Details |
|---|---|
| ⏱ Live Timer | 45 min countdown - Start/Pause button ke saath |
| Interactive MCQs | Option click karo → "Check Answer" dabao |
| Color feedback | ✅ Correct = Green highlight, ❌ Wrong = Red highlight |
| Full Explanation | Har question ke baad explanation + exam trick |
| Final Score | Submit karo → Correct/Wrong/Skipped count + marks (+4/-1) |
| Score interpretation | Bata dega kitni taiyari hui hai |
| Quick Revision Accordion | Neeche sabhi formulas + tables collapsed form mein |
mara ma ya bhi open nhi ho ha kya ap simply bna kr da skt ho jase ap na uper expected ques btaya tha
| Q | Answer | Marks |
|---|---|---|
| Q1 | (B) | +4 |
| Q2 | (B) | +4 |
| Q3 | (B) | +4 |
| Q4 | (A) | +4 |
| Q5 | (B) | +4 |
| Q6 | (C) | +4 |
| Q7 | (A) | +4 |
| Q8 | (D) | +4 |
| Q9 | (B) | +4 |
| Q10 | (B) | +4 |
| Q11 | (B) | +4 |
| Q12 | (C) | +4 |
| Q13 | (C) | +4 |
| Q14 | (C) | +4 |
| Q15 | (A) | +4 |
| Score | Result |
|---|---|
| 52-60 | 🏆 Excellent — IAT Ready! |
| 44-52 | 👍 Good — Thoda aur revise |
| 32-44 | 📖 Average — Weak topics dobara padho |
| Below 32 | ⚠️ Focus on top 3: Physiology + Genetics + Ecology |
mara 5 thik ha
"Muscle mein kaam hota hai → sab kuch BADHTA hai (CO₂, heat, acid) → curve RIGHT jata hai → O₂ chhoot jaata hai tissue ko"
TtRr → gametes: TR, Tr, tR, tr (4 types, each 1/4)
ttrr → sirf ek gamete: tr
Offspring: TtRr | Ttrr | ttRr | ttrr
1 : 1 : 1 : 1
Pol III → banata hai fragment
Pol I → RNA primer hatata hai + DNA se bharta hai
Ligase → do fragments ko jodta hai (seal karta hai)
Plant A (2n=16) female → n = 8
Plant B (2n=24) male → n = 12
Embryo = egg + sperm = 8 + 12 = 20
Endosperm = polar+polar+sperm = 8+8+12 = 28
Seed coat = sirf maa ka tissue = 16
| Step | Kya karna hai |
|---|---|
| Step 1 | Recessive phenotype (aa) fraction = q² |
| Step 2 | q = √(q²), phir p = 1 − q |
| Step 3 | Heterozygote (Aa) = 2pq |
| Feature | Kyun important |
|---|---|
| Circular DNA | Bacteria jaisa (eukaryotes mein linear hota hai) |
| 70S ribosomes | Prokaryotic type (cytoplasm mein 80S hota hai) |
| Double membrane | Inner = original bacteria ki, Outer = host cell ki |
Ek aur practice mock test kar — 15 different questions (medium difficulty)
| Q | Answer | Topic |
|---|---|---|
| Q1 | (B) 23 | Cell Division |
| Q2 | (C) Mitochondrial matrix | Respiration |
| Q3 | (D) All groups | Blood groups |
| Q4 | (B) 1/2 of sons | X-linked inheritance |
| Q5 | (B) Multiple codons → same amino acid | Genetic code |
| Q6 | (C) Nitrosomonas | Nitrogen cycle |
| Q7 | (C) HCl | Digestion |
| Q8 | (B) Sticky ends | Restriction enzymes |
| Q9 | (D) 1 egg + 3 polar bodies | Oogenesis |
| Q10 | (C) Ethylene | Plant hormones |
| Q11 | (B) Thymine | Biomolecules |
| Q12 | (B) >1500 endemic plants + >70% habitat lost | Biodiversity |
| Q13 | (B) Spinal cord — no brain needed | Nervous system |
| Q14 | (C) Down Syndrome | Chromosomal disorders |
| Q15 | (B) Bacillus thuringiensis | Biotechnology |
| Score | Result |
|---|---|
| 52-60 | 🏆 Excellent — IAT Ready! |
| 44-52 | 👍 Good — Almost there |
| 32-44 | 📖 Revise weak topics |
| Below 32 | 🔁 Pehle wala test dobara do + explanations padho |
mara 10 thik ha or 2 glt padh liya tha esliya glt hogya or 3 ata nhi tha
| Test 1 | Test 2 | |
|---|---|---|
| Sahi | 5 | 10 |
| Galat (careless) | — | 2 |
| Nahi aata tha | — | 3 |
| Score | 20/60 | 40/60 |
Exam mein har question 2 baar padho before answering. Specifically: "NOT", "INCORRECT", "EXCEPT", "ALWAYS", "NEVER" wale words dhundho — IAT aksar yahi trick karta hai!
Generate a quick memory tricks sheet for exam day (5 min read before exam) pls pdf mat dena simply likh kr da do
dN/dt = rN(K−N)/K Max growth = N = K/2 (aadhi capacity pe) K pe growth = ZERO
p + q = 1 aur p² + 2pq + q² = 1 Pehle q² = recessive phenotype fraction Phir q = √q², p = 1−q, heterozygote = 2pq
Embryo = n♀ + n♂ Endosperm = n♀ + n♀ + n♂ Seed coat = sirf maa ka (2n)
CO₂ ↑ | Temp ↑ | H⁺ ↑ (pH ↓) | 2,3-BPG ↑
| Hormone | Ek Line |
|---|---|
| Auxin | Cell lambi karti hai, apical dominance |
| Gibberellin | Stem tall, seed germination |
| Cytokinin | Cell divide karti hai, aging rokti hai |
| Ethylene | Fruit pakana, patta girna |
| ABA | Stomata band, stress mein kaam aata hai |
Pol III = banata hai (leading + lagging strand) Pol I = RNA primer hatata hai + DNA se bharta hai Ligase = Okazaki fragments jodata hai
| C3 | C4 | |
|---|---|---|
| Pehla product | 3-PGA | OAA |
| Enzyme | RuBisCO | PEP carboxylase |
| Calvin cycle | Mesophyll | Bundle sheath |
| Example | Wheat, Rice | Maize, Sugarcane |
PCT = glucose + amino acids = SAB reabsorb hota hai Loop of Henle = concentrate karta hai DCT = aldosterone kaam karta hai (Na⁺) CD = ADH kaam karta hai (water)
Sperm 1 + Egg = Embryo (2n) Sperm 2 + 2 polar nuclei = Endosperm (3n)
LH surge = ovulation trigger (Day 14) FSH = follicle grow karta hai Corpus luteum = Progesterone banata hai
1 primary oocyte → 1 egg + 3 polar bodies (degenerate)
PCR copies = 2ⁿ (30 cycles = 10⁹) PCR steps: Denature (94°C) → Anneal (55°C) → Extend (72°C) Taq polymerase = heat stable (Thermus aquaticus se) EcoRI cuts palindrome → sticky ends (4-base overhang) Bt cotton = Bacillus thuringiensis → Cry protein → bollworm marti hai
N₂ fix = Rhizobium (legumes), Azotobacter NH₃ → NO₂ = Nitrosomonas NO₂ → NO₃ = Nitrobacter NO₃ → N₂ = Pseudomonas (denitrification)
G1 → S (DNA replication) → G2 → M (mitosis) p53 = brake = damage detect → arrest ya apoptosis
Mito + Chloro = circular DNA + 70S ribosomes + double membrane (endosymbiont proof) Lysosome = hydrolytic enzymes (intracellular digestion) Ribosome: 80S eukaryote cytoplasm | 70S prokaryote + mito + chloro
Homologous = same origin, different function (divergent evolution) → bat wing, whale flipper, human arm Analogous = different origin, same function (convergent evolution) → bat wing vs insect wing H-W disturb = mutation, selection, drift, migration, non-random mating
| Disease | Karyotype | Key feature |
|---|---|---|
| Down | Trisomy 21 | Mental retardation |
| Turner | 45, XO | Short female, infertile |
| Klinefelter | 47, XXY | Tall male, infertile |
| Edward | Trisomy 18 | Severe malformations |
❌ "NOT correct" — bahut log miss karte hain ❌ "ALWAYS" / "NEVER" — energy pyramid always upright ❌ "EXCEPT" wale questions — ulta sochna padta hai ✅ Agar 2 options eliminate kar sako → attempt karo (-1 worth it hai) ✅ Bilkul idea nahi → SKIP karo (0 > −1)
Practice the remaining mock test sections once more before 7 June
| Q | Answer | Topic |
|---|---|---|
| Q1 | (C) Metaphase | Mitosis |
| Q2 | (B) Closing of AV valves | Cardiac cycle |
| Q3 | (B) Only A and B | Codominance |
| Q4 | (C) Nitrogen | Mineral nutrition |
| Q5 | (C) tRNA | Translation |
| Q6 | (C) 10 J | Energy flow |
| Q7 | (C) Inulin | GFR |
| Q8 | (B) 7 cells, 8 nuclei | Embryo sac |
| Q9 | (D) Large size | Cloning vector |
| Q10 | (C) Stabilising selection | Evolution |
| Q11 | (B) T lymphocytes | Immunity |
| Q12 | (B) Linked genes inherited together | Linkage |
| Q13 | (C) PS II → splits water → PS I → NADPH | Z-scheme |
| Q14 | (D) Secondary active transport | Membrane transport |
| Q15 | (C) ADH | Hormones |
Grass (10,000 J)
→ Grasshopper (1000 J) — 10%
→ Frog (100 J) — 10%
→ Snake (10 J) — 10%
→ Hawk (1 J) — 10%
H₂O → PS II (P680) → Plastoquinone → Cyt b6f → Plastocyanin → PS I (P700) → Ferredoxin → NADPH
| Score | Matlab |
|---|---|
| 52-60 | 🏆 Ready hai tu — kal exam dene ja! |
| 44-52 | 💪 Bahut accha — memory tricks ek baar aur padho |
| 36-44 | 📖 Good progress — weak Qs ki explanation dobara padho |
| Below 36 | 🔁 Mock Test 1 aur 2 ke answers revisit karo |
8 thik h
| Mock Test | Score | Marks |
|---|---|---|
| Test 1 | 5/15 | 20/60 |
| Test 2 | 10/15 | 40/60 |
| Test 3 | 8/15 | 32/60 |
PS II → PS I (II se I — ulta lagta hai lekin yahi sahi hai) PS II = water split + O₂ out PS I = NADPH banta hai
7 cells, 8 nuclei — central cell mein 2 polar nuclei hoti hain isliye 8
Har trophic level pe ek zero hatao Snake = 4th level = 10,000 → 1000 → 100 → 10 J
Glucose intestine mein = Na⁺ gradient use karta hai = secondary active Na⁺/K⁺ pump = primary active (directly ATP)
Middle phenotype best = Stabilising One extreme best = Directional Both extremes = Disruptive
Lub = AV valves close (systole start) Dub = Semilunar valves close (diastole start)
Inulin = freely filtered, not reabsorbed, not secreted = perfect GFR marker
✅ N = K/2 = max growth ✅ p² + 2pq + q² = 1 ✅ Endosperm = 2n♀ + n♂ ✅ CHAT = CO₂/H⁺/Acid/Temp = right shift ✅ LH surge = ovulation ✅ Bt cotton = Bacillus thuringiensis ✅ Energy pyramid = ALWAYS upright
physics ka bhi expected ques bta jo exam ma ana ka chance ha ya jes bhi topic ma sa ane ka chance ha
IAT 2026 physics important topics chapter wise weightage previous year questions
Note: Physics IAT mein sabse hard section hota hai. Biology mein jo marks bachaye (12-13) woh Physics ka cover karengy. Target 8-10 rakho — realistic hai.
| Chapter | Qs/Year | Priority |
|---|---|---|
| Modern Physics (Atoms, Nuclei, Photoelectric) | 2-3 | ⭐⭐⭐ Highest |
| Work, Energy & Power | 2 | ⭐⭐⭐ Highest |
| Waves | 2 | ⭐⭐⭐ High |
| Magnetism & EMI | 2 | ⭐⭐ High |
| Kinematics | 1-2 | ⭐⭐ High |
| Thermodynamics | 1-2 | ⭐⭐ High |
| Optics (Ray + Wave) | 1-2 | ⭐⭐ High |
| Current Electricity | 1-2 | ⭐⭐ Medium |
| Rotational Motion | 1 | ⭐ Medium |
| Laws of Motion | 1 | ⭐ Medium |
| Electrostatics | 1 | ⭐ Medium |
Light of frequency 6×10¹⁴ Hz falls on a metal with work function 2 eV. What is the max KE of emitted photoelectrons? (h = 6.6×10⁻³⁴ J·s)(A) 0.48 eV (B) 2.48 eV (C) 4.48 eV (D) 0 — no emission
E = hf = hc/λ
KE_max = hf − φ (φ = work function)
Threshold frequency: f₀ = φ/h
Einstein's photoelectric equation
Hydrogen atom electron jumps from n=3 to n=1. What series does this belong to? (A) Balmer (B) Lyman (C) Paschen (D) Brackett
n→1 = Lyman (UV)
n→2 = Balmer (Visible — VIBGYOR)
n→3 = Paschen (IR)
n→4 = Brackett (IR)
Half life of a radioactive element is 10 days. What fraction remains after 30 days? (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16
A 2 kg ball is dropped from 10 m height. Just before hitting ground, its KE is: (g=10 m/s²) (A) 100 J (B) 200 J (C) 20 J (D) 50 J
KE = ½mv²
PE = mgh
Work-Energy theorem: W_net = ΔKE
Conservation: KE + PE = constant (no friction)
Power = W/t = F·v
Elastic collision: KE conserved
Inelastic collision: KE not conserved, momentum conserved
Two equal masses, one at rest. First one hits with velocity v. After elastic collision: (A) First stops, second moves with v (B) Both move with v/2 (C) First continues, second stops (D) Both stop
v = fλ (wave speed = frequency × wavelength)
Speed of sound in air ≈ 340 m/s
Doppler effect:
f_observed = f_source × (v ± v_observer)/(v ∓ v_source)
(+) when approaching, (−) when receding
Standing waves: nodes (zero amplitude), antinodes (max amplitude)
A sound source moves toward a stationary observer at 34 m/s. Source frequency = 500 Hz, speed of sound = 340 m/s. Observed frequency? (A) 450 Hz (B) 500 Hz (C) 550 Hz (D) 553 Hz
Force on moving charge: F = qvB sinθ
Force on current wire: F = BIL sinθ
Magnetic field of solenoid: B = μ₀nI
Faraday's law: EMF = −dΦ/dt (Φ = magnetic flux = BA cosθ)
Lenz's law: induced current opposes the change
A rectangular coil is pulled out of a uniform magnetic field. The induced current will: (A) Flow to oppose the decrease in flux (Lenz's law) (B) Flow in same direction as original flux (C) Be zero — flux is constant (D) Depend on resistance only
First Law: ΔU = Q − W (energy conservation)
Isothermal: Temp constant → ΔU = 0 → Q = W
Adiabatic: Q = 0 → ΔU = −W
Isochoric: V constant → W = 0 → ΔU = Q
Isobaric: P constant → W = PΔV
Second Law: Heat flows from hot to cold naturally
Carnot efficiency: η = 1 − T_cold/T_hot (temperatures in Kelvin!)
A Carnot engine operates between 500 K and 300 K. Its efficiency is: (A) 60% (B) 40% (C) 50% (D) 30%
Mirror formula: 1/f = 1/v + 1/u
Lens formula: 1/f = 1/v − 1/u
Magnification: m = −v/u (mirror), m = v/u (lens)
Snell's law: n₁ sinθ₁ = n₂ sinθ₂
Critical angle: sin C = n₂/n₁ (TIR condition)
Power of lens: P = 1/f (in dioptres, f in metres)
A convex lens has focal length 20 cm. An object is placed 30 cm from it. Image distance? (A) 60 cm (B) −60 cm (C) 12 cm (D) −12 cm
v = u + at
s = ut + ½at²
v² = u² + 2as
s_nth = u + a(2n−1)/2
Projectile: Range = u²sin2θ/g, Max height = u²sin²θ/2g
Time of flight = 2u sinθ/g
Maximum range when θ = 45°
A ball is thrown at 45° with speed 20 m/s. Maximum range? (g = 10 m/s²) (A) 20 m (B) 40 m (C) 80 m (D) 10 m
Ohm's law: V = IR
Resistors in series: R_total = R₁ + R₂ + R₃
Resistors in parallel: 1/R_total = 1/R₁ + 1/R₂
Power: P = VI = I²R = V²/R
Kirchhoff's laws:
KCL: Sum of currents at junction = 0
KVL: Sum of voltages in loop = 0
Wheatstone bridge balanced: R₁/R₂ = R₃/R₄
✅ Modern Physics pehle solve karo — fast aur conceptual ✅ Energy conservation questions = easy marks (KE+PE = constant) ✅ Dimensional analysis se options eliminate karo ✅ Graphs dekho carefully — IAT mein graph-based questions aate hain
❌ Long calculations mein time mat waste karo ❌ Agar formula yaad nahi → SKIP karo (−1 se bacho) ❌ Rotational motion ke complex numericals mein mat phaso
MUST DO (2-3 Qs each):
✅ Modern Physics — Photoelectric, Bohr model, Radioactivity
✅ Work-Energy — Conservation, collisions
✅ Waves — Doppler, standing waves
SHOULD DO (1-2 Qs each):
✅ Thermodynamics — Carnot efficiency
✅ Optics — Mirror/lens formula
✅ Magnetism — Lenz's law, Lorentz force
✅ Kinematics — Projectile motion
IF TIME PERMITS:
⚡ Current electricity — Kirchhoff's laws
⚡ Electrostatics — Coulomb's law
Physics ke 10-12 expected questions ka practice mock test bna do (same format as biology)
| Q | Answer | Topic |
|---|---|---|
| Q1 | (A) 0.6 eV | Photoelectric effect |
| Q2 | (B) Balmer series | Bohr model |
| Q3 | (D) 1/16 | Radioactivity |
| Q4 | (B) 8 m/s | Energy conservation |
| Q5 | (A) First stops, second moves at 6 m/s | Elastic collision |
| Q6 | (D) 854 Hz | Doppler effect |
| Q7 | (B) 50% | Carnot efficiency |
| Q8 | (C) 40 cm opposite side | Lens formula |
| Q9 | (B) North pole at near end — repels magnet | Lenz's law |
| Q10 | (C) 20 m | Projectile motion |
| Q11 | (C) 1.6 Ω | Parallel resistance |
| Q12 | (B) Electron | de Broglie wavelength |
E = hc/λ = (6.6×10⁻³⁴ × 3×10⁸) / (4000×10⁻¹⁰)
= 19.8×10⁻²⁶ / 4×10⁻⁷
= 4.95×10⁻¹⁹ J
= 4.95×10⁻¹⁹ / 1.6×10⁻¹⁹ eV
= 3.1 eV
→ n=1 = Lyman (UV)
→ n=2 = Balmer (Visible — VIBGYOR colors!)
→ n=3 = Paschen (Infrared)
→ n=4 = Brackett (Infrared)
After 1 half-life: 1/2
After 2 half-lives: 1/4
After 3 half-lives: 1/8
After 4 half-lives: 1/16
PE lost = KE gained
mgh = ½mv²
v² = 2gh = 2 × 10 × 8 = 160
v = √160 = √(16×10) = 4√10 ≈ 12.6...
v = √(2×10×8) = √160 ≈ 12.6 m/s
When m₁ = m₂ and one is at rest:
→ Moving ball COMPLETELY STOPS
→ Stationary ball moves with FULL original velocity
f_observed = f_source × v/(v − v_source)
= 800 × 340/(340 − 20)
= 800 × 340/320
= 800 × 1.0625
= 850 Hz
η = 1 − T_cold/T_hot (ALWAYS in Kelvin!)
η = 1 − 300/600
η = 1 − 0.5
η = 0.5 = 50%
1/v − 1/(−40) = 1/20
1/v + 1/40 = 1/20
1/v = 1/20 − 1/40 = 2/40 − 1/40 = 1/40
v = +40 cm
H = u²sin²θ / 2g
H = (40)² × sin²(30°) / (2×10)
H = 1600 × (0.5)² / 20
H = 1600 × 0.25 / 20
H = 400/20
H = 20 m
1/R = 1/3 + 1/6 + 1/9
= 6/18 + 3/18 + 2/18
= 11/18
R = 18/11 ≈ 1.636 Ω ≈ 1.6 Ω
m_electron << m_proton
→ 1/√m_electron >> 1/√m_proton
→ λ_electron >> λ_proton
| Score | Result |
|---|---|
| 44-48 (11-12 correct) | 🏆 Physics mein bhi tera time! |
| 32-44 (8-11 correct) | 💪 Solid — IAT mein acha score |
| 20-32 (5-8 correct) | 📖 Modern Physics + Energy dobara padho |
| Below 20 | ⚡ Sirf Modern Physics + Waves pe focus karo |
1. E = hf = hc/λ = 1240/λ(nm) eV ← shortcut!
2. N = N₀ × (1/2)^n (n = half-lives count karo)
3. η_Carnot = 1 − T_cold/T_hot (Kelvin mein!)
4. Equal mass elastic collision = complete transfer
5. Lenz = oppose the change (ALWAYS)
mara ko excepted pyqs btao jo aa skta h ya repeated pyqs jo bar bar repeat ho rha h 15 mcq ya use jada ho koie dikat nhi ha per difficulty k level iat ka jitna hona chaiye bio or physics dono k
| Q | Answer | Key Concept |
|---|---|---|
| BQ1 | (C) 1/64 | Probability = 1/4 × 1/4 × 1/4 |
| BQ2 | (C) Energy pyramid | Always upright — 10% rule |
| BQ3 | (C) LH surge on Day 14 | Ovulation trigger |
| BQ4 | (B) Multiple codons → same amino acid | Degeneracy |
| BQ5 | (B) PEP carboxylase | C4 primary fixation |
| BQ6 | (B) 1 male gamete + 2 polar nuclei | Triple fusion = endosperm |
| BQ7 | (C) N = K/2 | Max logistic growth |
| BQ8 | (B) 1/2 of daughters | X-linked carrier |
| BQ9 | (C) tRNA anticodon pairs, peptide bond forms | Ribosome function |
| BQ10 | (C) Primers bind to template | PCR annealing step |
| BQ11 | (D) DECREASED 2,3-BPG | Bohr effect — NOT responsible |
| BQ12 | (B) 80 individuals | H-W: q²×N |
| BQ13 | (D) ABA | Stomatal closure |
| BQ14 | (B) Metaphase | Spindle poison arrests |
| BQ15 | (C) Collecting duct + ADH | Urine concentration |
| Q | Answer | Key Concept |
|---|---|---|
| PQ1 | (B) Instantaneous emission at low intensity | Particle nature proof |
| PQ2 | (C) −1.51 eV | Eₙ = −13.6/n² |
| PQ3 | (B) Neutron → proton + electron | β⁻ decay |
| PQ4 | (C) 4 times | PE = ½kx² (quadratic) |
| PQ5 | (C) No heat exchange — Q = 0 | Adiabatic definition |
| PQ6 | (C) 4 beats/sec | Beat frequency = |
| PQ7 | (C) 41.8° | sin C = 1/n = 1/1.5 |
| PQ8 | (C) 2r | r = mv/qB — proportional to v |
| PQ9 | (C) Equal time | Horizontal speed ≠ vertical fall |
| PQ10 | (C) N = mg − F sinθ | Vertical equilibrium |
| PQ11 | (B) 1:4 | P_series/P_parallel = 1/4 |
| PQ12 | (B) Solid sphere | Lower I = more translational KE |
| PQ13 | (B) Points +Q to −Q, non-zero | Fields add at midpoint |
| PQ14 | (A) λ = h/mv | de Broglie relation |
| PQ15 | (C) Second Law | Kelvin-Planck statement |
| Score | Level |
|---|---|
| 100-120 | 🏆 Exceptional — top rank possible |
| 80-100 | 💪 Excellent — IISER confirm |
| 60-80 | 👍 Good — safe score |
| 40-60 | 📖 Average — revise weak topics |
| Below 40 | 🔁 Focus on repeated concepts only |
- N = K/2 → max logistic growth
- LH surge → ovulation Day 14
- Endosperm = 2n♀ + n♂
- Degeneracy = multiple codons, 1 amino acid
- PEP carboxylase = C4 primary CO₂ fixation
- Energy pyramid = ALWAYS upright
- ABA = stomata close
- p53 = DNA damage checkpoint
- Eₙ = −13.6/n² eV (Hydrogen energy levels)
- N = N₀ × (1/2)^n (half-life)
- η = 1 − T_cold/T_hot (Carnot, Kelvin mein!)
- Beat frequency = |f₁−f₂|
- sin C = 1/n (critical angle)
- r = mv/qB (circular motion in magnetic field)
- PE_spring = ½kx² (quadratic!)
bio ma do glt ha
RIGHT shift causes: CO₂↑, H⁺↑, Temp↑, 2,3-BPG ↑ Answer tha: Decreased 2,3-BPG — yeh LEFT shift karta hai, right shift nahi
Spindle nahi bana → chromosomes align hi nahi ho sakte Yeh METAPHASE mein hota hai arrest
| Test | Bio Score | Marks |
|---|---|---|
| Mock 1 | 5/15 | 20 |
| Mock 2 | 10/15 | 40 |
| Mock 3 | 8/15 | 32 |
| Final PYQ Set | 13/15 | 52 |
- Memory tricks sheet ek baar padho (woh jo pehle diya tha)
- Formulas bina dekhe ek baar likho
- 10 baje so jao — neend MUST hai
- Breakfast khaao
- Memory tricks 5 min padho
- Exam mein Biology PEHLE karo
- Har question mein NOT/EXCEPT/INCORRECT dhundho
- Agar nahi aata → SKIP karo, wapas aao
Chemistry ke liye bhi expected questions de?
| Q | Answer | Concept |
|---|---|---|
| CQ1 | (C) H₂O | VSEPR — bent geometry |
| CQ2 | (B) [Ar] 3d¹⁰ 4s¹ | Exception to Aufbau |
| CQ3 | (C) High pressure + add N₂ | Le Chatelier's principle |
| CQ4 | (C) 2000 K | ΔG = ΔH − TΔS |
| CQ5 | (B) 2 isomers | Structural isomers |
| CQ6 | (C) 1.10 V | EMF = E_cathode − E_anode |
| CQ7 | (C) K₂Cr₂O₇/H₂SO₄ | Oxidation of alcohol |
| CQ8 | (C) Independent — t½ = 0.693/k | First-order half-life |
| CQ9 | (B) +3 | Oxidation state |
| CQ10 | (B) Benzaldehyde | Tollens' test = aldehyde |
| CQ11 | (B) HClO₄ > HClO₃ > HClO₂ > HClO | Oxoacid strength |
| CQ12 | (A) Glucose → NaCl | Osmosis to higher solute |
| CQ13 | (C) Secondary > Primary > Tertiary | Amine basicity aqueous |
| CQ14 | (B) Glucose | Reducing sugars |
| CQ15 | (A) +7 to +2, reduced by 5 | Redox — KMnO₄ |
CO₂ → 2 bond pairs, 0 lone pairs → LINEAR
BeCl₂ → 2 bond pairs, 0 lone pairs → LINEAR
BF₃ → 3 bond pairs, 0 lone pairs → TRIGONAL PLANAR
H₂O → 2 bond pairs, 2 lone pairs → BENT (V-shaped)
NH₃ → 3 bond pairs, 1 lone pair → TRIGONAL PYRAMIDAL
Cr (Z=24) → [Ar] 3d⁵ 4s¹ (half-filled d = stable)
Cu (Z=29) → [Ar] 3d¹⁰ 4s¹ (fully-filled d = stable)
0 = ΔH − TΔS
T = ΔH/ΔS = 200,000 J / 100 J/K = 2000 K
1. n-Butane: CH₃-CH₂-CH₂-CH₃ (straight chain)
2. Isobutane: (CH₃)₃CH (branched — 2-methylpropane)
Cathode (reduction) = Cu²⁺/Cu = +0.34V
Anode (oxidation) = Zn²⁺/Zn = −0.76V
EMF = +0.34 − (−0.76) = 0.34 + 0.76 = 1.10 V
Primary alcohol → Aldehyde (PCC, mild oxidant — stops here)
Primary alcohol → Carboxylic acid (KMnO₄ or K₂Cr₂O₇/H₂SO₄ — strong oxidant)
Zero order: t½ = [A]₀/2k (depends on concentration)
First order: t½ = 0.693/k (INDEPENDENT of concentration)
Second order: t½ = 1/k[A]₀ (depends on concentration)
Aldehydes (R-CHO) → POSITIVE (reduce Ag⁺ to Ag metal = silver mirror)
Ketones (R-CO-R) → NEGATIVE (cannot reduce Tollens' reagent)
HClO = Cl in +1 → weakest acid
HClO₂ = Cl in +3
HClO₃ = Cl in +5
HClO₄ = Cl in +7 → strongest acid
Secondary > Primary > Tertiary > NH₃
Glucose = reducing (free aldehyde group) ✅
Fructose = reducing (free ketone, special case) ✅
Maltose = reducing ✅
Lactose = reducing ✅
SUCROSE = NON-reducing ❌ (glycosidic bond between both anomeric carbons — no free group)
Starch, Cellulose = non-reducing ❌
Mn + 4×(−2) = −1
Mn − 8 = −1
Mn = +7
| Score | Result |
|---|---|
| 52-60 | 🏆 Chemistry ready! |
| 40-52 | 💪 Good score |
| 28-40 | 📖 Organic + Equilibrium revise karo |
| Below 28 | ⚡ Sirf top 8 repeated concepts padho |
1. Cr=[Ar]3d⁵4s¹, Cu=[Ar]3d¹⁰4s¹ — exceptions to Aufbau
2. H₂O=bent, NH₃=pyramidal, CO₂=linear, BF₃=trigonal planar
3. EMF = E°cathode − E°anode (always positive for spontaneous)
4. t½ = 0.693/k (first order — concentration independent)
5. HClO₄ > HClO₃ > HClO₂ > HClO (more O = stronger acid)
6. Tollens' test = ALDEHYDE only (ketones negative)
7. Sucrose = only common NON-reducing sugar
8. T = ΔH/ΔS (transition temperature, joules mein!)
Generate a one-page ultimate last-minute cheat sheet for all subjects
dN/dt = rN(K−N)/K → Max at N=K/2 | At N=K → growth=0 H-W: p+q=1 | p²+2pq+q²=1 → find q from √(q²), then 2pq Ploidy: Embryo=n♀+n♂ | Endosperm=2n♀+n♂ | Seed coat=2n(maa only) PCR copies = 2ⁿ (30 cycles = 10⁹)
LH surge = ovulation Day 14 | FSH = follicle growth | Corpus luteum = Progesterone C4 first product = OAA (PEP carboxylase, mesophyll) | C3 = 3-PGA (RuBisCO) Bohr effect: CO₂↑/H⁺↑/Temp↑/2,3-BPG↑ → RIGHT shift → O₂ released PCT = all glucose reabsorbed | CD + ADH = water | DCT + Aldosterone = Na⁺ p53 = brake = DNA damage checkpoint | Lost = cancer Lac operon: Lactose present → repressor off → genes ON PS II → splits water (O₂) → PS I → NADPH formed Meiosis: 4 haploid cells | Mitosis: 2 diploid cells | Crossing over = Prophase I
Insulin=↓glucose | Glucagon=↑glucose | ADH=water retention | LH=ovulation ABA=stomata CLOSE | Ethylene=fruit ripen | Gibberellin=stem tall
Energy pyramid = ALWAYS upright | 10% rule each level Mutualism(+/+) | Commensalism(+/0) | Parasitism(+/−) | Amensalism(0/−) Nitrosomonas=NH₃→NO₂ | Nitrobacter=NO₂→NO₃ | Rhizobium=N₂ fixation
Down=Trisomy 21 | Turner=45,XO | Klinefelter=47,XXY
Eₙ = −13.6/n² eV (H atom) → n=1:−13.6 | n=2:−3.4 | n=3:−1.51 | n=4:−0.85 KE_max = hf − φ | Shortcut: E(eV) = 1240/λ(nm) Radioactivity: N = N₀×(1/2)ⁿ (n = no. of half-lives) Carnot: η = 1 − T_cold/T_hot (KELVIN only!) Projectile: H = u²sin²θ/2g | R = u²sin2θ/g | Max R at θ=45° r = mv/qB (circular in magnetic field) | r ∝ v PE_spring = ½kx² (double x → 4× energy!) Beat frequency = |f₁ − f₂| Doppler: f_obs = f_src × v/(v−v_src) [source approaching]
Series: n→1=Lyman(UV) | n→2=Balmer(Visible) | n→3=Paschen(IR) β⁻ decay: neutron → proton + electron + antineutrino Adiabatic: Q=0 | Isothermal: ΔU=0 | Isochoric: W=0 Equal mass elastic collision: moving stops, stationary moves at same speed Lenz's law: induced current OPPOSES change (lazy law) Parallel resistors: equivalent < smallest R | Series: R_total = sum P_series : P_parallel = 1:4 (same voltage, two identical R) Critical angle: sin C = n₂/n₁ = 1/n (glass to air) Horizontal projectile: time depends ONLY on height, not horizontal speed de Broglie: λ = h/mv → lighter particle = longer λ
Cr = [Ar] 3d⁵ 4s¹ | Cu = [Ar] 3d¹⁰ 4s¹ (half/full d = stable)
EMF = E°cathode − E°anode (always +ve for spontaneous) ΔG = ΔH − TΔS | Spontaneous: ΔG<0 | Transition T = ΔH/ΔS (joules!) t½ = 0.693/k (1st order — concentration independent!) Oxidation state: sum of all = overall charge of species
CO₂=linear | BF₃=trigonal planar | H₂O=bent | NH₃=pyramidal CH₄=tetrahedral | PCl₅=trigonal bipyramidal | SF₆=octahedral
Aldehyde vs Ketone: Tollens' test = aldehyde only (silver mirror) Fehling's test = aldehyde only (red/brick precipitate) PCC = alcohol→aldehyde (mild, stops at CHO) KMnO₄/K₂Cr₂O₇ = alcohol→carboxylic acid (strong, goes to COOH) Lucas test: tertiary > secondary > primary (speed of reaction)
Oxoacids: HClO₄ > HClO₃ > HClO₂ > HClO (more O = stronger) Amine basicity (aqueous): Secondary > Primary > Tertiary > NH₃ Reducing sugars: Glucose✅ Fructose✅ Maltose✅ Lactose✅ | Sucrose❌ (NON-reducing)
↑Pressure → shifts to fewer moles side ↑Temperature → shifts to endothermic side Catalyst → no shift, only faster equilibrium Haber process (NH₃): High P + moderate T + Fe catalyst
Zn-Cu Daniell cell EMF = 0.34−(−0.76) = 1.10 V Anode = oxidation (negative terminal) | Cathode = reduction (positive)
Zero order: t½ ∝ [A]₀ | First order: t½ = 0.693/k (conc. independent) Radioactive decay = always first order
d/dx(xⁿ) = nxⁿ⁻¹ | d/dx(sinx)=cosx | d/dx(eˣ)=eˣ | d/dx(ln x)=1/x ∫xⁿ dx = xⁿ⁺¹/(n+1) | ∫eˣ dx = eˣ | ∫1/x dx = ln|x| Maxima: f'(x)=0 AND f''(x)<0 | Minima: f'(x)=0 AND f''(x)>0
Quadratic roots: x = (−b ± √(b²−4ac))/2a | Discriminant D = b²−4ac D>0 = real roots | D=0 = equal roots | D<0 = imaginary roots AP: nth term = a+(n−1)d | Sum = n/2 × (2a+(n−1)d) GP: nth term = arⁿ⁻¹ | Sum = a(rⁿ−1)/(r−1) ⁿCr = n!/r!(n−r)! | Binomial: (a+b)ⁿ = Σ ⁿCr × aⁿ⁻ʳ × bʳ
P(A∪B) = P(A)+P(B)−P(A∩B) P(A∩B) = P(A)×P(B) if independent Bayes: P(A|B) = P(B|A)×P(A)/P(B)
Distance = √((x₂−x₁)²+(y₂−y₁)²) Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2) Line: y=mx+c | slope m = (y₂−y₁)/(x₂−x₁) Circle: (x−h)²+(y−k)²=r² | Parabola: y²=4ax (focus at (a,0))
sin²θ+cos²θ=1 | 1+tan²θ=sec²θ | 1+cot²θ=cosec²θ sin(A+B)=sinAcosB+cosAsinB sin30=½ | cos30=√3/2 | tan30=1/√3 sin45=cos45=1/√2 | tan45=1 sin60=√3/2 | cos60=½ | tan60=√3
Det of 2×2: |a b; c d| = ad−bc Inverse of 2×2 = (1/det) × |d −b; −c a| For unique solution: det≠0 | No solution/infinite: det=0
✅ Biology FIRST — easiest, builds confidence
✅ Read EVERY question TWICE — find NOT/INCORRECT/EXCEPT
✅ Skip stuck questions — come back later
✅ Can eliminate 2 options? → ATTEMPT (−1 worth it)
✅ Zero idea? → SKIP (0 > −1)
✅ Time: 12 min per subject, 3 min per question
✅ Marks: +4 correct | −1 wrong | 0 skipped
TARGET:
Bio=12+ Physics=8+ Chemistry=10+ Maths=10+
Total target = 160+ (out of 240) = Good rank
mara pass pcb ha maths nhi ha
| Subject | Target | Priority |
|---|---|---|
| Biology | 13-14/15 | 🔴 Highest — tera strongest |
| Chemistry | 10-12/15 | 🔴 High |
| Physics | 8-10/15 | 🟡 Medium |
| Maths | 4-6/15 | 🟡 Attempt easy ones only |
n(A∪B) = n(A) + n(B) − n(A∩B) Complement of A = U − A
P(event) = favourable outcomes / total outcomes P(A∪B) = P(A) + P(B) − P(A∩B) Coin toss: P(Head) = 1/2 | Dice: P(any number) = 1/6
AP nth term = a + (n−1)d GP nth term = ar^(n−1)
D = b²−4ac D>0 = 2 real roots | D=0 = equal roots | D<0 = no real roots
(1+x)ⁿ ≈ 1+nx (jab x bahut chhota ho) General term = ⁿCr × aⁿ⁻ʳ × bʳ
0° 30° 45° 60° 90°
sin: 0 1/2 1/√2 √3/2 1
cos: 1 √3/2 1/√2 1/2 0
tan: 0 1/√3 1 √3 ∞
Slope = (y₂−y₁)/(x₂−x₁) Distance between points = √((x₂−x₁)² + (y₂−y₁)²)
Biology: 13/15 = 52 marks ✅ (tu already yahan hai!)
Chemistry: 10/15 = 40 marks ✅
Physics: 8/15 = 32 marks ✅
Maths: 5/15 = 20 marks (easy ones attempt karo)
─────────────────────────────
TOTAL: 36/60 = 144/240 marks
Maths ke liye 12 expected questions (easy level) provide do 15
| Q | Answer | Topic |
|---|---|---|
| MQ1 | (A) 5 | Sets |
| MQ2 | (A) 1/6 | Probability |
| MQ3 | (B) x=2 and x=3 | Quadratic |
| MQ4 | (A) 39 | AP |
| MQ5 | (B) 1.5 | Trigonometry |
| MQ6 | (C) 120 | Permutations |
| MQ7 | (B) 1 | Straight lines |
| MQ8 | (C) 4 | Limits |
| MQ9 | (B) 10 | Binomial theorem |
| MQ10 | (B) 3/28 | Probability |
| MQ11 | (A) 5 | Determinant |
| MQ12 | (C) 54 | GP |
| MQ13 | (C) 4 | Differentiation |
| MQ14 | (A) 6 | Circle |
| MQ15 | (A) 4/5 | Trigonometry |
n(Cricket ∪ Football) = 30 + 25 − 10 = 45
Neither = Total − n(A∪B) = 50 − 45 = 5
10th term = 3 + (10−1)×4
= 3 + 9×4
= 3 + 36
= 39
sin²30° = (1/2)² = 1/4
cos²60° = (1/2)² = 1/4
tan²45° = (1)² = 1
Total = 1/4 + 1/4 + 1 = 0.25 + 0.25 + 1 = 1.5
5! = 5×4×3×2×1 = 120
= (7−3)/(6−2)
= 4/4
= 1
(x²−4)/(x−2) = (x+2)(x−2)/(x−2) = (x+2)
lim(x→2) = 2+2 = 4
⁵C₂ = 5!/(2!×3!) = (5×4)/(2×1) = 10
P(1st red) = 3/8
P(2nd red | 1st red) = 2/7 (now 2 red left, 7 balls total)
P(both red) = 3/8 × 2/7 = 6/56 = 3/28
|a b|
|c d| = ad − bc
|2 3|
|1 4| = (2×4) − (3×1) = 8 − 3 = 5
4th term = 2 × 3⁽⁴⁻¹⁾
= 2 × 3³
= 2 × 27
= 54
f'(1) = 3(1)² + 4(1) − 5
= 3 + 4 − 5
= 2
x²−6x + y²+8y = 11
(x−3)² − 9 + (y+4)² − 16 = 11
(x−3)² + (y+4)² = 11 + 9 + 16 = 36
(3/5)² + cos²θ = 1
9/25 + cos²θ = 1
cos²θ = 1 − 9/25 = 16/25
cosθ = 4/5 (positive, 1st quadrant)
| Score | Result |
|---|---|
| 52-60 | 🏆 Maths mein bhi topper! |
| 36-52 | 💪 Excellent for PCB student |
| 20-36 | 👍 Good — 5-7 correct = 20-28 marks |
| Below 20 | ⚡ Attempt only sure ones |
1. Sets — n(A∪B) = n(A)+n(B)−n(A∩B)
2. Probability — P = favourable/total
3. AP/GP — nth term formula
4. sin/cos values (30,45,60,90)
5. Quadratic roots — factorize ya formula
6. Determinant — ad−bc
7. Limits — factorize if 0/0
Pehle easy wale solve karo (sets, probability, trig values) Skip lengthy integration/differentiation agar nahi aata 5-6 correct = 20-24 marks = kafi hai! Galat mat karo — 0 > −1 always
physics ka last 5 year ka repeated pyqs do
Create a physics practice test with last 5 years repeated questions
apko kya lagta ha ke paper kasa aya ga iat ka 7 june ko
| Subject | Expected Difficulty | 2025 tha | 2026 prediction |
|---|---|---|---|
| Biology | Easy | Easy | Easy (same) |
| Chemistry | Easy-Moderate | Moderate | Slightly easier |
| Physics | Moderate | Moderate-Hard | Moderate |
| Maths | Moderate | Easy-Moderate | Moderate |
| Subject | Mock Score | Expected Exam |
|---|---|---|
| Biology | 13/15 | 11-13/15 |
| Chemistry | Practiced well | 9-11/15 |
| Physics | 8-10 range | 7-9/15 |
| Maths | PCB student | 4-6/15 |
| TOTAL | 31-39/60 correct |
Pichle 2 din tune jo padha hai — woh enough hai. Aaj raat NAYA mat padho. Sirf memory tricks ek baar read karo aur so jao.
Biology pehle karo — confidence badhega Physics mein Modern Physics pehle — fastest marks Chemistry mein organic reactions skip mat karna Maths mein sets, probability, AP/GP dhundho — ye easy hote hain
chem ka bta do
Make a chemistry last-minute formulas cheat sheet