List of practice Questions

A string in a musical instrument is 50cm long and its fundamental frequency is 800Hz. If a frequency of 1000Hz is to be produced, then what is the required length of string? (Answer to be provided in cm)

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.

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)

Solve the following puzzle

Find the value of "?" in the given pyramid.

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]

Find the value of the QUESTION MARK.'?'

From the given answer options identify the figure which would fit into the sequence indicated by the question mark.

Identify the number of faces/ planes in the given 3-D image.

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

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?

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.

An organ pipe closed at one end has a fundamental frequency of 1500Hz. What is the maximum number of overtones generated by this pipe, which a normal person can hear?

At resonance air column of length 20cm resonate with a tuning fork of frequency 450 Hz. ignoring end correction, the velocity of sound in air is? (Answer to be given in m/s)

Standing waves are produced in 10m long stretched string. If the string vibrates in 5 segments and wave velocity is 20m/s, its frequency is? (Answer to be given in Hz)

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)

A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm³. How many times the water has to be poured from glass to fill the jug completely? (Take π = \(\frac{22}{7}\)) 

Find the number of angles in the following figure. 40° 20° 30°

Solve the given puzzle:

Look at this series: What number should come next?
5.2, 4.8, 4.4, 4, ?

A regular octahedron has 12 edges, how many vertices does it have?

The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?