1

GATE ECE 2021

MCQ (Single Correct Answer)

+2

-0.66

Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in

2

GATE ECE 2021

MCQ (Single Correct Answer)

+2

-0.66

The number of minutes spent by two students, X and Y, excercising every day in a given week are shown in the bar chart above.

The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is

3

GATE ECE 2019

MCQ (Single Correct Answer)

+2

-0.67

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

GATE ECE 2019

MCQ (Single Correct Answer)

+2

-0.67

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 _______.

Questions Asked from Numerical Ability (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Network Theory

Control Systems

Electronic Devices and VLSI

Analog Circuits

Digital Circuits

Microprocessors

Signals and Systems

Representation of Continuous Time Signal Fourier Series
Discrete Time Signal Fourier Series Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Transmission of Signal Through Continuous Time LTI Systems
Discrete Time Linear Time Invariant Systems
Sampling
Continuous Time Signal Laplace Transform
Discrete Fourier Transform and Fast Fourier Transform
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Fourier Transform

Communications

Electromagnetics

General Aptitude