1
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event that a tail occurs on the third toss. Let $$Z$$ be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?
A
$$X$$ and $$Y$$ are not independent
B
$$Y$$ and $$Z$$ are dependent
C
$$Y$$ and $$Z$$ are independent
D
$$X$$ and $$Z$$ are independent
2
GATE PI 2015
MCQ (Single Correct Answer)
+1
-0.3
The solution to $$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$ is
A
$$y = {C_1}{x^2} + {C_2}{x^{ - 3}}$$
B
$$y = {C_1} + {C_2}{x^{ - 2}}$$
C
$$y = {C_1}x + {{{C_2}} \over x}$$
D
$$y = {C_1}x + {C_2}{x^4}$$
3
GATE PI 2015
MCQ (Single Correct Answer)
+1
-0.3
In numerical integration using Simpson's rule, the approximating function in the interval is a
A
constant
B
straight line
C
cubic B-Spline
D
Parabola
4
GATE PI 2015
MCQ (Single Correct Answer)
+2
-0.6
In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its trajectory. The kinetic and pressure energies at points $$(1), (2)$$ and $$(3),$$ respectively, are GATE PI 2015 Fluid Mechanics - Fluid Dynamics Question 2 English
A
(small and large), (large and zero) and (zero and zero)
B
(small and zero), (large and large) and (small and zero)
C
(large and zero), (zero and large) and (large and zero)
D
(large and small), (small and zero) and (small and large)
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