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UGC NET Solved Paper 1 June 2014 / UGC NET Computer Science June 2014


Set Theory & Algebra MCQ


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Set Theory & Algebra MCQ


Partial Ordering , Lattice and Boolean Algebra
Sets

Calculus

Combinatories

Linear Algebra

Numbers & Algebra

Numerical Methods

Percentage

Permutations & Combinations

Ratio Proportion & Mixture

Time & Work




 

 





16:

Match the following

A. Groups                         I. Associativity

B. Semi groups              II. Identity

C. Monoids                     III. Commutative
 
D. Abelian Groups         IV Left inverse

Codes. A B C D


A.

IV   I    II   III


B.

III    I   IV   II


C.

II   III   I   IV


D.

I    II    III   IV


  Answer Report Discuss

17:

Let (Z, *) be an algebraic structure, where Z is the set of integers and the operation * is defined by n * m = maximum (n, m). Which of the following statements is TRUE for (Z, *) ?


A.

(Z, *) is a monoid


B.

(Z, *) is an abelian group


C.

(Z, *) is a group


D.

None of these


  Answer Report Discuss

18:

 Some group (G, 0) is known to be abelian. Then which one of the following is TRUE for G ?


A.

g = g-1 for every g ∈ G


B.

g = g2 for every g ∈ G


C.

(g o h) 2 = g2o h2 for every g,h ∈ G


D.

G is of finite order


  Answer Report Discuss

19:

If the binary operation * is deined on a set of ordered pairs of real numbers as

(a, b) * (c, d) = (ad + bc, bd)

and is associative, then

(1, 2) * (3, 5) * (3, 4) equals


A.

(74,40)


B.

(32,40)


C.

(23,11)


D.

(7,11)


  Answer Report Discuss

20:

If A = (1, 2, 3, 4). Let  ~= {(1, 2), (1, 3), (4, 2)}. Then ~ is


A.

not anti-symmetric


B.

transitive


C.

reflexive


D.

symmetric


  Answer Report Discuss

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