1
GATE CSE 1993
+2
-0.6
$$\sum\limits_{1 \le k \le n} {O(n)}$$ where O(n) stands for order n is:
A
O(n)
B
O(n2)
C
O (m3)
D
O(3n2)
2
GATE CSE 1993
+1
-0.3
The proposition $$p \wedge \left( { \sim p \vee q} \right)$$ is
A
a tautology
B
$$\Leftrightarrow \left( {p \wedge q} \right)$$
C
$$\Leftrightarrow \left( {p \vee q} \right)$$
D
3
GATE CSE 1993
Subjective
+5
-0
Show that proposition $$C$$ is a logical consequence of the formula $$A \wedge \left( {A \to \left( {B \vee C} \right) \wedge \left( {B \to \sim A} \right)} \right)$$ using truth tables.
4
GATE CSE 1993
+1
-0.3
Let $$S$$ be an infinite set and $${S_1},\,\,{S_2},....\,\,{S_n}$$ be sets such that $${S_1} \cup {S_2} \cup ....... \cup {S_n} = S$$. Then
A
At least one of the sets $${S_i}$$ is a finite set.
B
Not more than one of the sets $${S_i}$$ can be finite
C
At least one of sets $${S_i}$$ is infinite
D
Not more than one the sets $${S_i}$$ is an a infinite set.
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