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Mathematics
List of top Mathematics Questions
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. What is the ratio of the area of triangles ABC and BDE?
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?
NATA - 2023
NATA
Mathematics
Coordinate Geometry
A well of depth 20 m with a radius 4 m is dug from the earth to form a platform of length 25 m and a breadth of 12 m. Find the height of the platform.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
log
\(\frac{log\sqrt8}{log\sqrt8}\)
is equal to :
NATA - 2023
NATA
Mathematics
Logarithms
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
NATA - 2023
NATA
Mathematics
Algebra
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
NATA - 2023
NATA
Mathematics
Algebra
To make a hockey puck which of 2-D shape needs to be rotated?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
An umbrella has 8 ribs which are equally spaced. Assuming the umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella. (Answer to be provided in cm
2
)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. (Provide answer as x, y (in numerical). Any other format will not be accepted for marking)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
How many
(1) edges and
(2) vertices do a square based pyramid have?
[
Answer format
: To be written as
edges, vertices
in this order. Example
1,2
). Only numericals allowed with comma symbol. Answer in any other format other than that specified will not be accepted for marking]
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A floor whose length and width is 50 m and 40 m respectively needs to be covered by rectangular tiles. The dimension of each tile is 1 m x 2 m. Find the total number of tiles that would be required to fully cover the floor.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
The areas of two similar triangles are 100cm
2
and 49cm
2
. If the altitude of the bigger triangle is 4 cm, then what will be the altitude of the corresponding smaller triangle?
NATA - 2023
NATA
Mathematics
Coordinate Geometry
Find the diameter of the circle if the circumference of the circle is
\(\frac{11}{5}\)
m.
(Answer has to be provided in cm. Any other format will not be accepted for marking)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
NATA - 2023
NATA
Mathematics
Algebra
A well of depth 20 m with a radius 4 m is dug from the earth to form a platform of length 25 m and a breadth of 12 m. Find the height of the platform.
NATA - 2023
NATA
Mathematics
Coordinate Geometry
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
NATA - 2023
NATA
Mathematics
Algebra
A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm
3
. How many times the water has to be poured from glass to fill the jug completely? (Take
π
=
\(\frac{22}{7}\)
)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Triangle ABC has angles A = 60° and B = 70°. The in-center of this triangle is at I. Find angle BIC. (Provide answer in degrees)
NATA - 2023
NATA
Mathematics
Coordinate Geometry
Find the number of angles in the following figure. 40° 20° 30°
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A small village, having a population of 5,000 requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m x 25m x 15 m. For how many days will the water in the tank last?
NATA - 2023
NATA
Mathematics
Algebra
A regular octahedron has 12 edges, how many vertices does it have?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Find the area of a square, one of whose diagonals is 9.2 m long. (Provide answer up to the second decimal in sq m)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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