GATE EC question library

Choose the most appropriate phrase from the options given below to complete the following sentence. The aircraft _________ take off as soon as its flight plan was filed.

Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements?

Choose the most appropriate word from the options given below to complete the following sentence. Many ancient cultures attributed disease to supernatural causes. However, modern science has largely helped _________ such notions.

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? …

What is the next number in the series? $12$ $35$ $81$ $173$ $357$ ________,

Find the odd one from the following group: $W,E,K,O \qquad I,Q,W,A \qquad F,N,T,X \qquad N,V,B,D$

For submitting tax returns, all resident males with annual income below $Rs$ $10$ lakh should fill up Form $P$ and all resident females with income below $Rs$ $8$ lakh should fill up Form $Q.$ All people with incomes above $Rs$ $10$ lakh should fill up Form $R,$ except non residents with income above $Rs$ $15$ lakhs, who should fill up …

A train that is $280$ meters long, traveling at a uniform speed, crosses a platform in $60$ seconds and passes a man standing on the platform in $20$ seconds. What is the length of the platform in meters?

The exports and imports (in crores of $Rs$.) of a country from $2000$ to $2007$ are given in the following bar chart. If the trade deficit is defined as excess of imports over exports, in which year is the trade deficit $\frac{1}{5}$th of the exports?

You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is

For matrices of same dimension $M, N$ and scalar $c$, which one of these properties DOES NOT ALWAYS hold?

In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is ________.

$C$ is a closed path in the $z$-plane given by $\mid z \mid = 3.$ The value of the integral $\displaystyle{}\oint_{C}\bigg(\dfrac{z^{2}-z+4j}{z+2j}\bigg)dz$ is

A real $(4 \times 4)$ matrix $A$ satisfies the equation $A^{2} = I$, where $I$ is the $(4 \times 4)$ identity matrix. The positive eigen value of $A$ is ______.

Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1].$ The probability $P\{X_{1}\: \text{is the largest}\}$ is ________.

For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance $Z_{1}$ of the first section to the input impedance $Z_{2}$ of the second section is

Consider the configuration shown in the figure which is a portion of a larger electrical network For $R = 1\: \Omega$ and currents $i_{1} = 2A,i_{4} = -1A,i_{5} = -4A,$ which one of the following is $\textbf{TRUE}?$

When the optical power incident on a photodiode is $10\:\mu W$ and the responsivity is $0.8\: A/ W,$ the photocurrent generated $(\text{in} \:\mu A)$ is_______.

In the figure, assume that the forward voltage drops of the $PN$ diode $D_{1}$ and Schottky diode $D_{2}$ are $0.7\: V$ and $0.3\: V,$ respectively. If ON denotes conducting state of the diode and OFF denotes non-conducting state of the diode, then in the circuit,

If fixed positive charges are present in the gate oxide of an $n$-channel enhancement type MOSFET, it will lead to