List of practice Questions

A man drives to his office at 60 km/hr and returns home along the same route at 30 km/hr. Find the average speed for the entire journey.

In a class of 100 students, 55 students have passed in Mathematics and 67 students have passed in Physics. The number of students who passed in Physics only is:

The least perfect square, which is divisible by each of 21, 36 and 66 is:

A train travels the first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed of the train?

84,232 + 414 - 8,439 = ?

An amount of Rs. 3000 increased to Rs. 3600 in 5 years at simple interest. If the interest rate was increased by 2%, what will be the amount at maturity?

Pravasi Bharatiya Kendra has been renamed after which late Union Minster?

If the outer radius of a metal pipe is 2.84 inches and the inner radius is 1.94 inches, what is the thickness of the pipe?

The salary of a worker is first increased by 10%, and thereafter it was reduced by 10%. What is the change in the salary after these adjustments?

What greatest number can be subtracted from 10000, so that the remainder may be divisible by 32, 36, 48

How many numbers between 200 and 500 are divisible by 13.

A man deposited Rs. 300 for two years, Rs. 600 for 4 years, and Rs. 1200 for 6 years. He received Rs. 102 as interest. What is the rate of interest per annum?

Which of the following number is exactly divisible by 15?

Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is $M ,$ radius of its top, $R$ and height, $H ,$ then its moment of inertia about its axis is: 

A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below. Correct shape of the emergent wavefront will be (figures are schematic and not drawn to scale)

The general purpose sodalime glass is not a suitable material for fabricating the container for

At a metro station, a girl walks up a stationary escalator in $20 \,sec$. If she remains stationary on the escalator, then the escalator take her up in $30 \,sec$. The time taken by her to walk up on the moving escalator will be

If $L=\sin ^{2}\left(\frac{\pi}{16}\right)-\sin ^{2}\left(\frac{\pi}{8}\right)$ and $M=\cos ^{2}\left(\frac{\pi}{16}\right)-\sin ^{2}\left(\frac{\pi}{8}\right),$ then :

A plane electromagnetic wave is propagating along the direction $\frac{\hat{i}+\hat{i}}{\sqrt{2}},$ with its polarization along the direction $\hat{k}.$ The correct form of the magnetic field of the wave would be (here $B_0$ is an appropriate constant):

Proton with kinetic energy of $1 \,MeV$ moves from south to north It gets an acceleration of $10^{12} \, m/s^2$ by an applied magnetic field (west to east). The value of magnetic field : (Rest mass of proton is $1.6 \times 10^{-27}\, kg$)

$\displaystyle \lim_{x \to 1}$$\left\{log_{e}\left(e^{x\left(x-1\right)}-e^{x\left(1-x\right)}\right)-log_{e}\left(4x\left(x-1\right)\right)\right\}$ is equal to :

In a game two players $A$ and $B$ take turns in throwing a pair of fair dice starting with player $A$ and total of scores on the two dice, in each throw is noted. $A $ wins the game if he throws a total of $6$ before $B$ throws a total of $7$ and $B$ wins the game if he throws a total of $7 $before $A$ throws a total of six The game stops as soon as either of the players wins. The probability of $A$ winning the game is :

Let A and B be two independent events such that $P\left(A\right) = \frac{1}{3}$ and $P\left(B\right) = \frac{1}{6}.$ Then, which of the following is TRUE ?

Which of the following statement is not true for glucose?

Which of the following is not an essential amino acid: