List of practice Questions

A vector in x-y plane makes an angle of 30º with y-axis. The magnitude of y-component of vector is \(2\sqrt3\). The magnitude of x -component of the vector will be :

The speed of a wave produced in water is given by v=\(λ^ag^bρ^c\). Where λ,g and ρ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of a, b and c respectively, are:

The position vector of a particle related to time t is given by \(\vec{r}=(10t\hat{i}+15t^2\hat{j}+7\hat{k})m\)
The direction of net force experienced by the particle is :

A single slit of width a is illuminated by a monochromatic light of wavelength 600 nm. The value of 'a' for which first minimum appears at θ=30° on the screen will be :

The surface area (in \(m^2\)) of a sphere of radius 7 cm is :(Use \(\pi= \frac{22}{7}\))

How many 3 digit even numbers can be formed from the digits (0-9) if repetition of digits are allowed?

The sum of an Infinite geometric series is 4 and the sum of the cubes of the terms of the same GP is 192. The Common Ratio of the original geometric series is :

Which of the following statements are incorrect?
(A) Volume of a cone = \(\frac{1}{3} \pi r^3 h\)
(B) Volume of a cone = \(\frac{1}{3} \pi r^2 h\)  
(C) Volume of a hemisphere = \(\frac{2}{3} \pi r^2\)  
(D) Volume of a hemisphere = \(\frac{2}{3} \pi r^3\)  
(E) Volume of a cylinder = \(\frac{1}{3} \pi r^3 h\)  
Choose the correct answer from the options given below:

Facing towards North, Ravi walks 30m. He then turns left and walks 50m. He again turns left and walks 30m. How far is he from his original position and towards which direction?

Find from amongst the figure, the one which resembles the pattern formed when the transparent sheet is folded along the dotted line.

Find out the wrong number in the sequence:
40960, 10240, 2560, 640, 200, 40, 10

Two statements in the following questions, followed by two conclusions I and II. Read the conclusion and decide most suitable answer.
Statements: All horses are goats.
                   No goat is a donkey.
Conclusions: (1) No horse is a donkey.
                       (II) Atleast some goats are horses.

Look at the statement and mark the correct answer on the conclusions that follows:
Statements: A. Shubham is my cousin.
                      B. A cousin may be a aunt's son, uncle's son or son of parent's step-siblings.
Conclusions: (I) Shubham is my sisters son.
                       (II) Shubham is my uncle's son.

Five children Arun, Bhuvi, Charu, Deepak and Emmy are sitting along the corners of a pentagonal table facing the centre. Bhuvi is between Emmy and Charu. Deepak is to the right of Emmy. Who is to the left of Charu?

Find out the figure that can be formed from the piece given below:

Amar is 16^th from the left end in a row of boys and Vishal is 18^th from the right end. Satish is 11th towards the right of Amar and 3^rd towards the right of Vishal side end. How many boys are there is a row?

Choose the correct mirror image:

How many cubes are there in a group?

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Clothes are not washed properly in hard water.
Reason (R): Hard water contains many minerals.
In the light of the above statements, choose the most appropriate answer from the options given below:

Complete the picture series:

Select the figure from the options which will continue the series established by the problem figure:

If EFFECTIVE is coded as FEGDDSJUF, then how RELATIVE can be written in that code?

Find the next term in the alpha-numeric series:
Z1A, W8C, T27E, Q64G, N1251, ?

Following question is based on the information given below:
(i) 'R×S' means 'R is father of S'
(ii) 'R-S' means 'R is sister of S'
(iii) 'R+S' means 'R is mother of S'
(iv) 'R÷S' means 'R is brother of S'
In the expression A+B×C÷D how is C related to A ?

If Today is Monday, After 62 it will be :