1
GATE CE 2002
MCQ (Single Correct Answer)
+1
-0.3
The following function has local minima at which value of $$x,$$ $$f\left( x \right) = x\sqrt {5 - {x^2}} $$
A
$${{ - \sqrt 5 } \over 2}$$
B
$${\sqrt 5 }$$
C
$$\sqrt {{5 \over 2}} $$
D
$$-\sqrt {{5 \over 2}} $$
2
GATE CE 2002
MCQ (Single Correct Answer)
+1
-0.3
Eigen values of the following matrix are $$\left[ {\matrix{ { - 1} & 4 \cr 4 & { - 1} \cr } } \right]$$
A
$$3, -5$$
B
$$-3, 5$$
C
$$-3, -5$$
D
$$3,5$$
3
GATE CE 2002
MCQ (Single Correct Answer)
+1
-0.3
In natural water, hardness is mainly caused by
A
$$Ca^{++}$$ and $$Mn^{++}$$
B
$$Ca^{++}$$ and $$Fe^{++}$$
C
$$Na^{+}$$ and $$K^{+}$$
D
$$Ca^{++}$$ and $$Mg^{++}$$
4
GATE CE 2002
MCQ (Single Correct Answer)
+2
-0.6
During a 6-hour storm the rainfall intensity was 0.8 cm/hr on a catchment of area 8.6 km2. The measured runoff volume during this period was 2,56,000 m3. The total rainfall was lost due to infiltration, evaporation and transpiration in cm/hr is
A
0.80
B
0.304
C
0.496
D
Sufficient information not available
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