GATE ECE 2019
GATE ECE
1
The families of curves represented by the solution of the equation
$${{dy} \over {dx}} = - {\left( {{x \over y}} \right)^n}$$
for n = –1 and n = 1 respectively, are
$${{dy} \over {dx}} = - {\left( {{x \over y}} \right)^n}$$
for n = –1 and n = 1 respectively, are
2
Consider the two-port resistive network shown in the figure. When an excitation of 5 V is applied across Port 1, and Port 2 is shorted, the current through the short circuit at Port 2 is measured to be 1 A (see (a) in the figure).
Now, if an excitation of 5 V is applied across Port 2, and Port 1 is shorted (see (b) in the figure), what is the current through the short circuit at Port 1?

General Aptitude
1
The strategies that the company _______ to sell its products ________ house-to-house marketing.
2
It would take one machine 4 hours to complete a production order and another machine 2 hours to
complete the same order. If both machine work simultaneously at their respective constant rates, the time
taken to complete the same order is _______ hours.
3
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 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.
4
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 right side of the shelf. The number of different orders in which P, Q
and T may be arranged is ________.
5
"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 _______.
From the text above, we can infer that :
Indian history written by British Historians _______.
6
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 _______.


7
Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is 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 ?
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 ?
8
The boat arrived _______ dawn.
9
When he did not come home, she ___ him lying dead on the roadside somewhere.
10
Five people P, Q, R, S and T work in a bank. P and Q don’t like each other but have to share an office till
T gets a promotion and moves to the big office next to the garden. R, who is currently sharing an office
with T wants to move to the adjacent office with S, the handsome new intern.
Given the floor plan, what is the current location of Q, R and T ? [O = office, WR = Wash room]
Given the floor plan, what is the current location of Q, R and T ? [O = office, WR = Wash room]