1

GATE ECE 2022

MCQ (Single Correct Answer)

+1

-0.33

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.

Let X, Y and Z represent the following operations:

X : rotation of the square by 180 degree with respect to the S-Q axis.

Y : rotation of the square by 180 degree with respect to the P-R axis.

Z : rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.

Consider the following three distinct sequences of operation (which are applied in the left to right order).

(1) XYZZ

(2) XY

(3) ZZZZ

Which one of the following statements is correct as per the information provided above?

2

GATE ECE 2021

MCQ (Single Correct Answer)

+1

-0.33

p and q are positive integers and $${p \over q} + {q \over p} = 3$$, then $${{{p^2}} \over {{q^2}}} + {{{q^2}} \over {{p^2}}}$$ =

3

GATE ECE 2021

MCQ (Single Correct Answer)

+1

-0.33

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 yeas ago?

4

GATE ECE 2019

MCQ (Single Correct Answer)

+1

-0.33

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 ________.

Questions Asked from Numerical Ability (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE 2023 (3)
GATE ECE 2022 (6)
GATE ECE 2021 (2)
GATE ECE 2019 (2)
GATE ECE 2018 (3)
GATE ECE 2017 Set 2 (3)
GATE ECE 2017 Set 1 (3)
GATE ECE 2016 Set 3 (2)
GATE ECE 2016 Set 2 (2)
GATE ECE 2016 Set 1 (2)
GATE ECE 2015 Set 3 (2)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (2)
GATE ECE 2013 (1)
GATE ECE 2012 (1)
GATE ECE 2011 (1)
GATE ECE 2010 (1)

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

Communications

Electromagnetics

General Aptitude