1
GATE CSE 1993
MCQ (Single Correct Answer)
+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
MCQ (Single Correct Answer)
+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
a contradiction
3
GATE CSE 1993
Fill in the Blanks
+1
-0
The value of the double integral $$\int\limits_0^1 {\int\limits_x^{{1 \over x}} {{x \over {1 + {y^2}}}\,\,dx\,\,dy = \_\_\_\_\_.} } $$
4
GATE CSE 1993
MCQ (More than One Correct Answer)
+1
-0.3
The eigen vector (s) of the matrix
$$\left[ {\matrix{ 0 & 0 & \alpha \cr 0 & 0 & 0 \cr 0 & 0 & 0 \cr } } \right],\alpha \ne 0$$ is (are)
A
$$\left( {0,0,\alpha } \right)$$
B
$$\left( {\alpha ,0,0} \right)$$
C
$$\left( {0,0,1} \right)$$
D
$$\left( {0,\alpha ,0} \right)$$
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