List of top Mathematics Questions asked in NATA

Vertices of a quadrilateral ABCD are A(0,0), B(4,5), C(9,9) and D(5,4). What is the shape of the quadrilateral?
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
A sum of money is to be distributed among Arun, Banu, Chinu, Dany in the proportion of 5: 2:4: 3 respectively. If C gets Rs. 1500 more than D, what is B's share?
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
A (p,0), B (4,0), C (5,6) and D (1,4) are the vertices of a quadrilateral ABCD. If ADC is obtuse, what is the maximum integral value of p?
vertical pole 20 m long casts a shadow 10 m long on the ground. At the same time, a tower casts the shadow 50 m long on the ground. Find the height of the tower. (Answer to be provided in m)
A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?
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?
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?
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.
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:
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:
log \(\frac{log\sqrt8}{log\sqrt8}\) is equal to :
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.
To make a hockey puck which of 2-D shape needs to be rotated?
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 cm2)
An umbrella has 8 ribs
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]
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)
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.
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
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?
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) 
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.
The areas of two similar triangles are 100cm2 and 49cm2. If the altitude of the bigger triangle is 4 cm, then what will be the altitude of the corresponding smaller triangle?