1
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Which of the following statements is false?
A
The set of rational numbers is an abelian group under addition.
B
The set of integers is an abelian group under addition.
C
The set of rational numbers from an abelian group under multiplication.
D
The set of real numbers excluding zero is an abelian group under multiplication.
2
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Let $$X$$ $$X = \left\{ {2,3,6,12,24} \right\}$$. Let $$ \le $$ the partial order defined by $$x \le y$$ if $$x$$ divides $$y$$. The number of edges in the Hasse diagram of $$\left( {X, \le } \right)$$ is
A
$$3$$
B
$$4$$
C
$$9$$
D
None of the above
3
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Suppose $$X$$ and $$Y$$ are sets and $$\left| X \right|$$ and $$\left| Y \right|$$ are their respective cardinalities. It is given that there are exactly 97 functions from $$X$$ to $$Y$$. From this one can conclude that
A
$$\left| X \right| = 1,\,\,\,\,\,\,\,\,\,\left| Y \right| = 97$$
B
$$\left| X \right| = 97,\,\,\,\,\,\,\,\,\,\left| Y \right| = 1$$
C
$$\left| X \right| = 97,\,\,\,\,\,\,\,\,\,\left| Y \right| = 97$$
D
None of the above
4
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
Let $$R$$ be a symmetric and transitive relation on a set $$A$$. Then
A
$$R$$ is reflexive and hence an equivalence relation.
B
$$R$$ is reflexive and hence partial order.
C
$$R$$ is not reflexive and hence not an equivalence relation.
D
None of the above.

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