1
GATE CE 2012
MCQ (Single Correct Answer)
+1
-0.3
The infinite series $$1 + x + {{{x^2}} \over {2!}} + {{{x^3}} \over {3!}} + {{{x^4}} \over {4!}} + ........$$ corresponds to
A
$$sec\,x$$
B
$${e^x}$$
C
$$cos\,x$$
D
$$1 + si{n^2}x$$
2
GATE CE 2012
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of matrix $$\left[ {\matrix{ 9 & 5 \cr 5 & 8 \cr } } \right]$$ are
A
$$-2.42$$ and $$6.86$$
B
$$3.48$$ and $$13.53$$
C
$$4.70$$ and $$6.86$$
D
$$6.86$$ and $$9.50$$
3
GATE CE 2012
MCQ (Single Correct Answer)
+2
-0.6
A water sample has a pH of 9.25. The concentration of hydroxyl ions in the water sample is
A
$$10^{-9.25}$$ moles/L
B
$$10^{-7.75}$$ moles/L
C
0.302 mg/L
D
3.020 mg/L
4
GATE CE 2012
MCQ (Single Correct Answer)
+1
-0.3
If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is p, then the maximum shear stress developed inside the cube is
A
$$0$$
B
$$\frac{\mathrm p}2$$
C
p
D
2p
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