Marks 1
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 ...
How many triangles are present in the given figure?
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Which of the following options represents the given graph?
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the digit in the unit's place of the product $$3^{999}\times7^{1000}$$ is __________.
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...
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 (...
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...
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...
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...
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...
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...
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...
The missing number in the given sequence 343, 1331, _______, 4913 is
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...
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...
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?
For what values of k given below is $${{{{\left( {k + 2} \right)}^2}} \over {k - 3}}$$ an integer?
Marks 2
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...
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...
How many integers are there between 100 and 1000 all of whose digits are even?
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...
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...
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...
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...