List of practice Questions

A train running at 90 km/h crosses a 400 m long another train running towards it on parallel tracks at 80 km/h in 18 seconds. How much time will it take to pass a 450 m long tunnel?

Find the next term of the given series: 2, 12, 36, 80, 150

How many moles of carbon makes 3.6 g of carbon ?

Minimum value of 5^cos(2x) + 5^sin(2x)

If the weight of an object on earth's surface is 400 N, then weight of the same particle at a depth \(\frac{R}{2}\) from surface would be (R is radius of earth)

If 20% of A = B and 40% of B = C. then the value of 3C is:

The cells of hydrom sheath in Polytrichum are rich in

Let C₁ be the circle of radius 1 with the center at the origin. Let C₂ be the circle of radius r with center at the point A = (4,1), where 1 < r < 3 . Two distinct common tangents PQ and ST of C₁ and C₂ are drawn. The tangent PQ touches C₁ at P and C₂ at Q. The tangent ST touches C₁ at S and C₂ at T. Midpoints of the line segments PQ and ST are joined to form a line that meets the x-axis at a point B. If AB = √5, then the value of r² is : 

"Do it because it is your Duty to do it". This statement can be attributed to which of the following thinkers?

 In a regular polygon, each interior angle is 120 more than each exterior angle. Find the number of diagonals of the polygon.

A thin circular coin of mass 5 gm and radius \(\frac{4}{3}\) is initially in a horizontal XY - plane. The coin is tossed vertically up (+Z direction) by applying an impulse of \(\sqrt{\frac{\pi}{2}\times10^{-2}}\) N-s at a distance of \(\frac{2}{3}\) cm from its center. The coin spins about its diameter and moves along the +𝑧 direction. By the time the coin reaches back to its initial position, it completes 𝑛 rotations. The value of 𝑛 is ____. [Given: The acceleration due to gravity 𝑔 = 10 ms⁻²]

Manager claim we were in desperate _____ of greater investment in our industries.

Select the related number from the given alternative:
14 : 8 : 24 : ?

Find the inverse of each of the matrices, if it exists. \(\begin{bmatrix} 1 &  3\\ 2 & 7\end{bmatrix}\)

In a certain code, TEACHER is written as WHDFKHU. In the same system of coding, what should be the code for the word STATEMENT?

Which human body organ can regrow ?

The average elevation of the continents above sea level is about meters.

In the life cycle of plasmodium sporozoites ______ undergoes asexual reproduction in which cells?

Which one from the four answer figures should come at the right of the problem figures to complete the series logically?

The mirror-image of WHITE is

In a 400 KV Network, 360 KV is recorded at a 400KV Bus. The reactive power absorbed by stunt reactor rated for 50M VAR. 400KV connected at a BUS is

The solution of x partial differential equation
\(\frac{\partial u}{\partial x}=2\frac{\partial u}{\partial t}+U\)
\(U(x,0)=6e^{-3x}\)

For the per capita production function y = k^0.5; what is the level of capital per capita at steady state assuming depreciation (δ) = 0.1 and rate of saving = 0.4? The rate of growth of population is assumed as 0.

Find out the degree of the differential equation \(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)