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Permutations and Combinations
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Mathematical Induction and Binomial Theorem
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Mathematical Induction
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Binomial Theorem
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Matrices and Determinants
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Vector Algebra
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Three Dimensional Geometry
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Probability
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Complex Numbers
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Statistics
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Trigonometry
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Inverse Trigonometric Functions
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Properties of Triangle
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Coordinate Geometry
Straight Lines and Pair of Straight Lines
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Circle
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Parabola
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Ellipse
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Hyperbola
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Calculus
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Previous
1
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25

Let $$P(n) = {3^{2n + 1}} + {2^{n + 2}}$$ where $$n \in N$$. Then

A
P(n) is not divisible by any prime integer.
B
there exists prime integer which divides P(n).
C
P(n) is divisible by 5 for all $$n \in N$$.
D
P(n) is divisible by 3 for all $$n \in N$$.
2
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
72n + 16n $$-$$1 (n$$ \in $$ N) is divisible by
A
65
B
63
C
61
D
64
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WB JEE 2025 (1) WB JEE 2023 (1) WB JEE 2019 (1)
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