1

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

+1

-0.3

In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe
fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile
contains a total of 5692000 fruits, how many of them are apples?

2

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

+1

-0.3

Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km
away from where I live. Arun is farther away than Ahmed but closer than Susan from where I
live. From the information provided here, what is one possible distance (in km) at which I live
from Arun's place?

3

GATE ECE 2015 Set 2

MCQ (Single Correct Answer)

+1

-0.3

Ram and Ramesh appeared in an interview for two vacancies in the same department. The
probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that
only one of them will be selected?

4

GATE ECE 2015 Set 3

MCQ (Single Correct Answer)

+1

-0.3

If x>y>1, which of the following must be true?
$$$\begin{array}{l}\mathrm i.\;\ln\left(\mathrm x\right)>\ln\left(\mathrm y\right)\;\;\;\;\;\;\;\;\;\;\mathrm{ii}.\;\;\mathrm e^\mathrm x>\mathrm e^\mathrm y\\\mathrm{iii}.\;\mathrm y^\mathrm x>\mathrm x^\mathrm y\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\mathrm{iv}.\;\cos\left(\mathrm x\right)>\cos\left(\mathrm y\right)\end{array}$$$

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 1 (3)
GATE ECE 2017 Set 2 (3)
GATE ECE 2016 Set 2 (2)
GATE ECE 2016 Set 3 (2)
GATE ECE 2016 Set 1 (2)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 3 (2)
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

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

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics