Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2019 Questions with Answer
Ques 40 GATE 2019
The value of the integral ∫0π∫yπ(sinx/x)dx dy is equal to
Ques 41 GATE 2019
Consider a differentiable function f(x) on the set of real numbers such that f(-1)=0 and |f'(x)|≤2. Given these conditions, which one of the following inequalities is necessarily true for all x∈[-2,2]?
Ques 42 GATE 2019
Consider the line integral ∫C(xdy-ydx), the integral being taken in a counterclockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2×3 rectangle and a semi-circle of radius 1. The line integral evaluates to
Ques 43 GATE 2019
Consider the homogeneous ordinary differential equation x2d2y/dx2-3xdy/dx+3y=0, x>0 with y(x) as a general solution. Given that y(1)=1 and y(2)=14, the value of y(1.5), rounded off to two decimal places, is
Ques 44 GATE 2019
The strategies that the company... to sell its products house-to-house marketing.
Ques 45 GATE 2019
It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is... hours.
Ques 46 GATE 2019
The boat arrived... dawn.
Ques 47 GATE 2019
Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and second, respectively from the right side of the shelf. The number of different orders in which P, Q and T may be arranged is
Ques 48 GATE 2019
When he did not come home, she... him lying dead on the roadside somewhere.
Ques 49 GATE 2019
Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is an engineer, one is a doctor, one a teacher and another a dancer. You are told that:
1. Mathew is not standing next to Seema
2. There are two people standing between Lohit and the engineer
3. Rahul is not a doctor
4. The teacher and the dancer are standing next to each other
5. Seema is turning to her right to speak to the doctor standing next to her
Who among them is an engineer?
Ques 50 GATE 2019
The bar graph in Panel (a) shows the proportion of male and female illiterates in 2001 and 2011. The proportions of males and females in 2001 and 2011 are given in Panel (b) and (c), respectively. The total population did not change during this period. The percentage increase in the total number of literates from 2001 to 2011 is
Ques 51 GATE 2019
"Indian history was written by British historians extremely well documented and researched, but not always impartial. History had to serve its purpose: Everything was made subservient to the glory of the Union Jack. Latter-day Indian scholars presented a contrary picture."
From the text above, we can infer that: Indian history written by British historians
Ques 52 GATE 2019
Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when the hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USD... remaining in the budget.
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