# Numerical Ability · General Aptitude · GATE EE

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## 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...
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