Math Chapter Wise

EnglishUP PCS (Pre) 2002

Q401.A finite set has:

Aone limit BNo limit point Cmany limit points Dnone of the above

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EnglishUP PCS (Pre) 2003

Q402.Define a relation R on the set of numbers as xRy if y is a linear function of x, Then R is–

Areflexive but not sysmmetric Bsymmetric but not transitive Creflexive and symmetric but not transitive Dan equivalence relation

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EnglishUP PCS (Pre) 2003

Q403.The relation R, defined by R = {(1,1), (1,3), (3,1), (3,4)}, on the set A = {1,2,3,4} is–

Asymmetric Btransitive Crelexive Dnone of the above

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EnglishUP PCS (Pre) 2003

Q404.The number of reflexive relation on a set containing 4 elements is–

A24 B28 C212 Dnone of the above

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EnglishUP PCS (Pre) 2003

Q405.If n(A B) 4 and n(C D) 3 then n(A C) (B D) is equal to –

A12 B43 C34 Dnone of the above

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EnglishUP PCS (Pre) 2004 & 2005

Q406.Let a relation R be defined on the set of all real numbers by aRb if and only if 1+ab>0. Then the relation R is–

Areflexive, symmetric but not transitive Breflexive, transitive but not sysmmetric Csymmetric, transitive but not reflexive Dequivalence relation

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EnglishUP PCS (Pre) 2004

Q407.If A = {1,2} and B = {a,b,c}, P(A)∩ ∩ ∩P(B) is–

Aa null set Ba singletion Ca pair set Dnone of the above

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EnglishUP PCS (Pre) 2004

Q408.f:R→R, where R is the set of real numbers, is not mapping if it defined by–

Af(x) log x Bx/f(x) e Cf(x) sin x D2/f(x) x

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EnglishUP PCS (Pre) 2005

Q409.In order to define an equivalence relation R on a non-empty set A, which of the following is not required:

Areflexivity Bsymmetry Canti-symmetry Dtransitivity

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EnglishUP PCS (Pre) 2005

Q410.The number of non-empty subsets of the set (1, 2, 3, 4) is:

A14 B15 C16 D17

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EnglishUP PCS (Pre) 2005

Q411.If the sets A and B are such that A–B = A then A∩ ∩ ∩B is

Auniversal set Bnull set CA DB

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EnglishUP PCS (Pre) 2005

Q412.If the sets, A, B and A∪ ∪ ∪B have 4, 7 and 9 elements respectively, then the number of elements in A∩ ∩ ∩B is:

A2 B3 C4 D1

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EnglishUP PCS (Pre) 2005

Q413.If S denotes the set of all rational numbers except 1 and '*' is defined on S as a*b = a+b – ab then the solution of the equation 2*x*7=13

A1 B2 C3 D7

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EnglishUP PCS (Pre) 2006

Q414.If A, B, C are three sets then A× × ×(B∪ ∪ ∪C) is equal to:

A(A∪B)×(A∪C) B(A∩B)×(A∩C) C(A×B)∪(A×C) D(A×B)∩(A×C)

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EnglishUP PCS (Pre) 2006

Q415.Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n will be:

A7, 6 B6, 3 C5, 1 D8, 7

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EnglishUP PCS (Pre) 2006

Q416.The relation R is defined on the set A= {1,2,3,4,5} by R= {(x,y):|x2 –y2 |<16}, then universal relation above.

A{(1,1)(2,1),(3,1),(4,1),(2,3)} B{(2,2)(3,2),(4,2),(2,4)} C{(3,3)(4,3),(5,4),(3,4)} DNone of the above

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EnglishUP PCS (Pre) 2006

Q417.The relation 'less than' in the set of natural numbers is:

Asymmetric Btransitive Creflexive Dequivalence relation

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EnglishUP PCS (Pre) 2006

Q418.The relation {(1,1), (1,2)} on the set {1,2,3} is:

Atransitive Breflexive and transitive Creflexive and symmetric Dreflexive

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EnglishUP PCS (Pre) 2006

Q419.Which of the following is not an equivalence relation on Z:

AaRb if a+b is an even integer. BaRb if a–b is an even integer. CaRb if a<b DaRb if a=b

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EnglishUP PCS (Pre) 2006

Q420.If W is the set of all straight lines in a plane and the relation R is defined by aRb if a is perpendicular to be, a, b ∈ W, then.

AR is reflexive BR is symmetric CR is anti symmetric DR is transitive

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