1

GATE ECE 2021

MCQ (Single Correct Answer)

+2

-0.66

Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.

The ratio of the area of the regular convex to the area of the original equilateral triangle is

2

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

3

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

4

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.

Questions Asked from Numerical Ability (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

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

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics