# Numerical Ability · General Aptitude · GATE EE

Start Practice## Marks 1

GATE EE 2023

Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of getting a '1' on the first roll ...

GATE EE 2023

How many triangles are present in the given figure?
...

GATE EE 2023

Which of the following options represents the given graph?
...

GATE EE 2023

the digit in the unit's place of the product $$3^{999}\times7^{1000}$$ is __________.

GATE EE 2023

A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the squ...

GATE EE 2022

In a 500 m race, P and Q have speeds in the ratio of 3 : 4. Q starts the race when P has already covered 140 m. What is the distance between P and Q (...

GATE EE 2022

Three bells P, Q and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R is rung every 50 minutes. If al...

GATE EE 2022

The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of...

GATE EE 2022

There are two identical dice with a single letter on each of the faces. The following six letters : Q, R, S, T, U and V, one on each of the faces. Any...

GATE EE 2022

The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charges Rs.150 for delivery. There a...

GATE EE 2022

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.
Consider the follo...

GATE EE 2022

An ant is at the bottom-left corner of a grid (point P) as shown below in the figure. It aims to move to the top-right corner of the grid. The ant mov...

GATE EE 2019

It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in
minutes) will it take X and Y, if they work tog...

GATE EE 2019

The missing number in the given sequence 343, 1331, _______, 4913 is

GATE EE 2018

Functions F(a, b) and G(a, b) are defined as follows:
F(a, b) = (a - b)2 and G(a, b) = |a - b| , where |x| represents the absolute value of x.
What wo...

GATE EE 2018

The three roots of the equation f(x) = 0 are x = {-2, 0, 3}. What are the three values of x
for which f(x -3) = 0?

GATE EE 2018

For what values of k given below is $${{{{\left( {k + 2} \right)}^2}} \over {k - 3}}$$ an integer?

## Marks 2

GATE EE 2019

Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators
belong to set X and the denominato...

GATE EE 2019

The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of
candidates who passed the examination i...

GATE EE 2019

How many integers are there between 100 and 1000 all of whose digits are even?

GATE EE 2018

An e-mail password must contain three characters. The password has to contain one
numeral from 0 to 9, one upper case and one lower case character fro...

GATE EE 2018

A class of twelve children has two more boys than girls. A group of three children are
randomly picked from this class to accompany the teacher on a f...

GATE EE 2018

A designer uses marbles of four different colours for his designs. The cost of each marble
is the same, irrespective of the colour. The table below sh...

GATE EE 2018

P, Q, R and S crossed a lake in a boat that can hold a maximum of two persons, with only
one set of oars. The following additional facts are available...