1
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The modulus of the complex number $${{3 + 4\,i} \over {1 - 2\,i}}$$ is
A
$$5$$
B
$$\sqrt 5 $$
C
$${1 \over {\sqrt 5 }}$$
D
$${1 \over 5}$$
2
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
Ion concentrations obtained for a groundwater sample (having pH=8.1) are given below.
Ion $$Ca^{2+}$$ $$Mg^{2+}$$ $$Na^+$$ $$HCO_3^-$$ $$SO_4^{2-}$$ $$Cl^{-}$$
Ionconcentration(mg/L) 100 6 15 250 45 39
Atomic Weight Ca=40 Mg=24 Na=23 H=1,C=12,O=16 S=32,O=16 Cl=35.5

Carbonate hardness (mg/L as $$CaCO_3$$) present in the above water sample is
A
205
B
250
C
275
D
289
3
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
Ion concentrations obtained for a groundwater sample (having pH=8.1) are given below.
Ion $$Ca^{2+}$$ $$Mg^{2+}$$ $$Na^+$$ $$HCO_3^-$$ $$SO_4^{2-}$$ $$Cl^{-}$$
Ionconcentration(mg/L) 100 6 15 250 45 39
Atomic Weight Ca=40 Mg=24 Na=23 H=1,C=12,O=16 S=32,O=16 Cl=35.5

Total hardness (mg/L as $$CaCO_3$$) present in the above water sample is
A
205
B
250
C
275
D
308
4
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
The moisture holding capacity of the soil in a 100 hectare farm is 18cm/m. the field is to be irrigated when 50 percent of the available moisture in the root zone is depleted. The irrigation water is to be supplied by a pump working for 10hours a day, and water application efficiency is 75%. Details of crops planned for cultivation are as follows:
Crop Root zone depth (m) Peak rate of moisture use(mm/day)
X 1.0 5.0
Y 0.8 4.0
The capacity of irrigation system required to irrigate crop X in 36 hectares is
A
83litres/sec
B
67 liters/sec
C
57 liters/sec
D
53 liters/sec
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