1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following graphs is NOT planar? GATE CSE 2005 Discrete Mathematics - Graph Theory Question 29 English
A
G1
B
G2
C
G3
D
G4
2
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
Let $$A$$, $$B$$ and $$C$$ be non-empty sets and let $$X = (A - B) - C$$ and $$Y = (A - C) - (B - C)$$

Which one of the following is TRUE?

A
$$X = Y$$
B
$$X \subset Y$$
C
$$Y \subset X$$
D
None of these
3
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Let R and S be any two equivalence relations on a non-emply set A. Which one of the following statements is TRUE?
A
$$R\, \cup \,S\,,\,R\, \cap \,S$$ are both equivalence relations
B
$$R\, \cup \,S\,$$ is an equivalence relations
C
$$R\, \cap \,S$$ is an equivalence relations
D
Neither $$R\, \cup \,S\,$$ nor $$R\, \cap \,S$$ is an equivalence relation
4
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Let f: $$\,B \to \,C$$ and g: $$\,A \to \,B$$ be two functions and let h = fog. Given that h is an onto function which one of the following is TRUE?
A
f and g should both be onto functions
B
f should be onto but g need not be into
C
g should be onto but f need not be onto
D
both f and need not be onto
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