1
GATE CSE 1994
True or False
+1
-0
Give a relational algebra expression using only the minimum number of operators from $$\left( { \cup ,\, - } \right)$$ which is equivalent to $$R \cap S$$.
A
TRUE
B
FALSE
2
GATE CSE 1994
True or False
+1
-0
An instance of a relational scheme R(A, B, C) has distinct values for attribute A. Can you conclude that A is a candidate key for R?
A
TRUE
B
FALSE
3
GATE CSE 1994
True or False
+2
-0
Let $$p$$ and $$q$$ be propositions. Using only the truth table decide whether $$p \Leftrightarrow q$$ does not imply $$p \to \sim q$$ is true or false.
A
TRUE
B
FALSE
4
GATE CSE 1994
+1
-0.3
Let A and B be any two arbitrary events, then, which one of the following is true?
A
$$P\,(A\, \cap \,B)\, = \,P\,(A)\,P\,(B)$$
B
$$P\,(A\, \cup \,B)\, = \,P\,(A)\, + \,P\,(B)$$
C
$$P\,(A\,\left| {B) = \,} \right.P\,(A\, \cap \,B)\,P\,(B)$$
D
$$P\,(A\, \cup \,B)\, < \,\,P\,(A)\, + \,P\,(B)$$
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