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Algebra
Sets and RelationsLogarithmsQuadratic EquationsSequences and SeriesBinomial TheoremPermutations and CombinationsProbabilityVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsMathematical ReasoningLinear ProgrammingComplex Numbers
Trigonometry
Trigonometric Ratios & IdentitiesTrigonometric EquationsInverse Trigonometric FunctionsProperties of Triangles
Calculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential Equations
Coordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbola
Sets and Relations
Practice Questions
MCQ (Single Correct Answer)
1

If $n(A)=4, n(B)=2$. Then the number of subsets of the set $\mathrm{A} \times \mathrm{B}$ each having at least 3 elements are

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2

Let A = {10, 11, 12, 14, 26} and let f : A $$\to$$ N be such that f(a) = highest prime factor of a, where a $$\in$$ A, then range of f =

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3

If $R=\{(a, b) / b=a-1, a \in Z, 5 < a < 9$, then the range of $R$ is

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4

If $$A=\{x, y, z\}, B=\{1,2\}$$, then the total number of relations from set $$A$$ to set $$B$$ are :

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5

If $A=\{x \mid x \in N, x$ is a prime number less than $12\}$ and $B=\{x \mid x \in N, x$ is a factor of 10$\}$, then $A \cap B=$ .............

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6

If $A=\left(x \in R: x^2-5|x|+6=0\right\}$, then $n(A)=\ldots \ldots$

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