1
GATE CE 2003
MCQ (Single Correct Answer)
+1
-0.3
Given matrix $$\left[ A \right] = \left[ {\matrix{ 4 & 2 & 1 & 3 \cr 6 & 3 & 4 & 7 \cr 2 & 1 & 0 & 1 \cr } } \right],$$ the rank of the matrix is
A
$$4$$
B
$$3$$
C
$$2$$
D
$$1$$
2
GATE CE 2003
MCQ (Single Correct Answer)
+1
-0.3
The vector field $$\,F = x\widehat i - y\widehat j\,\,$$ (where $$\widehat i$$ and $$\widehat j$$ are unit vectors) is
A
divergence free, but not irrotational
B
irrotational, but not divergence free
C
divergence free and irrotational
D
neither divergence free nor irrotational
3
GATE CE 2003
MCQ (Single Correct Answer)
+1
-0.3
A box contains $$10$$ screws, $$3$$ of which are defective. Two screws are drawn at random with replacement. The probability that none of the two screws is defective will be
A
$$100$$%
B
$$50$$%
C
$$49$$%
D
none
4
GATE CE 2003
MCQ (Single Correct Answer)
+1
-0.3
If $$L$$ denotes the laplace transform of a function, $$L\left\{ {\sin \,\,at} \right\}$$ will be equal to
A
$${a \over {{s^2} - {a^2}}}$$
B
$${a \over {{s^2} + {a^2}}}$$
C
$${s \over {{s^2} + {a^2}}}$$
D
$${s \over {{s^2} - {a^2}}}$$
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