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Vector Algebra
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Probability
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Statistics
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Properties of Triangle
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Circle
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1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is

A
$${1 \over 2}$$
B
$${1 \over 4}$$
C
$${1 \over 3}$$
D
$${1 \over 6}$$
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is

A
$${1 \over {16}}$$
B
$${1 \over {2}}$$
C
$${1 \over {8}}$$
D
$${1 \over {4}}$$
3
WB JEE 2012
MCQ (Single Correct Answer)
+1
-0.33
Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is
A
$${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
B
2 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
C
213 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
D
226 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
4
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

If $E$ and $F$ are two independent events with $P(E)=0.3$ and $P(E \cup F)=0.5$, then $P(E / F)-P(F / E)$ equals

A
$\frac{2}{7}$
B
$\frac{3}{35}$
C
$\frac{1}{70}$
D
$\frac{1}{7}$
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WB JEE Subjects
Physics
Mechanics
Units & MeasurementsVector AlgebraMotionLaws of MotionCircular MotionWork Power & EnergyCenter of MassRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
ElectrostaticsCurrent ElectricityCapacitorMagnetismElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Optics
Geometrical OpticsWave Optics
Modern Physics
Atoms and NucleiDual Nature of RadiationElectronic Devices
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryAtomic StructureRedox ReactionGaseous StateChemical EquilibriumLiquid SolutionIonic EquilibriumThermodynamicsChemical KineticsRadioactivity and Nuclear ChemistryElectrochemistrySolid StateSurface Chemistry
Inorganic Chemistry
Periodic TableChemical BondingMetallurgyHydrogen and It's CompoundsSome s Block ElementsSome P Block Elementsd and f Block ElementsCoordination Compounds
Organic Chemistry
IUPAC NomenclaturesGeneral Organic ChemistryIsomerismHydrocarbonsHalogen DerivativesAlcohol and EtherAldehyde and KetoneAromatic ChemistryCarbonyl CompoundsCarboxylic Acids and AminesPolymersBiomoleculesPractical ChemistryChemistry In Everyday Life
Mathematics
Algebra
Sets and RelationsLogarithmsSequence and SeriesQuadratic EquationsPermutations and CombinationsMathematical Induction and Binomial TheoremMathematical InductionBinomial TheoremMatrices and DeterminantsVector AlgebraThree Dimensional GeometryProbabilityComplex NumbersStatistics
Trigonometry
Trigonometric Functions & EquationsInverse Trigonometric FunctionsProperties of Triangle
Coordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbola
Calculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegralsDefinite IntegrationApplication of IntegrationDifferential Equations