List of top Mathematics Questions

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

If \(5\) times the \(5^{th}\) term of an A.P is the same as \(7\) times the \(7{th}\) term, then find its \(12^{th}\)\(\) term

The given surface can be folded into which of the following cubes?

Choose the correct option
\(\frac {2tan30°}{1+tan^230°}=?\)

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?

Choose the correct option sin2A=2 sinA is true when A =?

The fraction of total volume occupied by atoms in a simple cube is A.

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?

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

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?

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

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?

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)

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 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.

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?

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.

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:

To make a hockey puck which of 2-D shape needs to be rotated?

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)

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)