1
GATE ME 2017 Set 2
+2
-0.6
In a counter-flow heat exchanger, water is heated at the rate of $$1.5kg/s$$ from $$\,40{}^ \circ C\,$$ to $$\,80{}^ \circ C\,$$ by an oil entering at $$\,120{}^ \circ C\,$$ and leaving at $$\,60{}^ \circ C\,$$. The specific heats of water and oil are $$4.2kJ/kgK$$ and $$2kJ/kgK,$$ respectively. The overall heat transfer coefficient is $$400\,W/{m^2}K.$$ The required heat transfer surface are (in $${m^2}$$) is
A
$$0.104$$
B
$$0.022$$
C
$$10.4$$
D
$$21.84$$
2
GATE ME 2017 Set 2
Numerical
+1
-0
The standard deviation of linear dimensions $$P$$ and $$Q$$ are $$3\mu m$$ and $$4\mu m$$, respectively. When assembled, the standard deviation (in $$\mu m$$) of the following linear dimension $$(P+Q)$$ is ___________.
3
GATE ME 2017 Set 2
Numerical
+2
-0
A project starts with activity $$A$$ and ends with activity $$F.$$ The precedence relation and durations of the activities are as per the following table:

The minimum project completion time (in days) is ___________

4
GATE ME 2017 Set 2
+1
-0.3
For a single server with Poisson arrival and exponential service time, the arrival rate is $$12$$ per hour. Which one of the following service rates will provide a steady state finite queue length?
A
$$6$$ per hour
B
$$10$$ per hour
C
$$12$$ per hour
D
$$24$$ per hour
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