GATE EC question library

Choose the most appropriate word from the options given below to complete the following sentence. If the athlete had wanted to come first in the race, he ________________ several hours every day.

Choose the most suitable one word substitute for the following expression: Connotation of a road or way

Choose the correct verb to fill in the blank below: Let us __________

Find the missing sequence in the letter series below: $A, CD, GHI,?, UVWXY$

If $x>y>1,$ which of the following must be true? $(i)$ and $(ii)$ $(i)$ and $(iii)$ $(iii)$ and $(iv)$ $(ii)$ and $(iv)$

Ram and Shyam shared a secret and promised to each other that it would remain between them. Ram expressed himself in one of the following ways as given in the choices below. Identify the correct way as per standard English.

In the following question, the first and the last sentence of the passage are in order and numbered $1$ and $6.$ The rest of the passage is split into $4$ parts and numbered as $2,3,4,$ and $5.$ These $4$ parts are not arranged in proper order. Read the sentences and arrange them in a logical sequence to make a passage and choose the correct …

From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is ________.

$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is

Ms. $X$ will be in Bagdogra from $01/05/2014$ to $20/05/2014$ and from $22/05/2014$ to $31/05/2014.$ On the morning of $21/05/2014,$ she will reach Kochi via Mumbai. Which one of the statements below is logically valid and can be inferred from the above sentences?

For $A = \begin{bmatrix} 1 &\tan x \\ -\tan x &1 \end{bmatrix},$ the determinant of $A^{T}A^{-1}$ is

The contour on the $x-y$ plane, where the partial derivative of $x^{2} + y^{2}$ with respect to $y$ is equal to the partial derivative of $6y+4x$ with respect to $x$, is

If $C$ is a circle of radius $r$ with centre $z_{0},$ in the complex $z$-plane and if $n$ is a non-zero integer, then $\oint _{C}\frac{dz}{(z-z_{0})^{n+1}}$ equals

Consider the function $g(t) = e^{-t}\sin(2\pi t)u(t)$ where $u(t)$ is the unit step function. The area under $g(t)$ is ______.

The value of $\displaystyle{}\sum_{n=0}^{\infty} n \left(\dfrac{1}{2}\right)^{n}$ is ________.

For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals $a-b$ is _______.

In the circuit shown, the voltage $V_{X}$ (in Volts) is ________.

At very high frequencies, the peak output voltage $V_{0}$ (in Volts) is _______.

Which one of the following processes is preferred to form the gate dielectric $(SiO_{2})$ of MOSFETs ?

If the base width in a bipolar junction transistor is doubled, which one of the following statements will be TRUE?