Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2016 Set-2 Questions with Answer
Ques 40 GATE 2016 SET-2
The ordinary differential equation dx/dt=-3x+2, with x(0)=1 is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is
Ques 41 GATE 2016 SET-2
Suppose C is the closed curve defined as the circle x2+y2=1 with C oriented anti-clockwise. The value of ∮(xy2dx+x2ydy) over the curve C equals
Ques 42 GATE 2016 SET-2
The matrix
Ques 43 GATE 2016 SET-2
Based on the given statements, select the appropriate option with respect to grammar and usage.
Statements
(i) The height of Mr. X is 6 feet.
(ii) The height of Mr. Y is 5 feet.
Ques 44 GATE 2016 SET-2
The students ____________ the teacher on teachers' day for twenty years of dedicated teaching.
Ques 45 GATE 2016 SET-2
After India's cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the rest is history. What does the underlined phrase mean in this context?
Ques 46 GATE 2016 SET-2
Given (9 inches) = (0.25 yards), which one of the following statements is TRUE?
Ques 47 GATE 2016 SET-2
S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?
Ques 48 GATE 2016 SET-2
The Venn diagram shows the preference of the student population for leisure activities.
Ques 49 GATE 2016 SET-2
Social science disciplines were in existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to further the colonial interest. In the time of globalization and the economic rise of postcolonial countries like India, conventional ways of knowledge production have become obsolete. Which of the following can be logically inferred from the above statements?
(i) Social science disciplines have become obsolete.
(ii) Social science disciplines had a pre-colonial origin.
(iii) Social science disciplines always promote colonialism.
(iv) Social science must maintain disciplinary boundaries.
Ques 50 GATE 2016 SET-2
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without number markings seemed to show 1:30. What is the actual current time shown by the clock?
Ques 51 GATE 2016 SET-2
M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels 5 km South and then 4 km South-East. What is the shortest distance (in km) between M and N at the end of their travel?
Ques 52 GATE 2016 SET-2
A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?
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