Recent questions tagged gate2014-ec-2

3 3 votes
3 answers 3 answers
717
717 views
Choose the most appropriate word from the options given below to complete the following sentence.Communication and interpersonal skills are__________ important in their o...
10 10 votes
5 answers 5 answers
861
861 views
Which of the options given below best completes the following sentence?She will feel much better if she ________________.will get some restgets some restwill be getting s...
2 2 votes
4 answers 4 answers
739
739 views
Choose the most appropriate pair of words from the options given below to complete the following sentence.She could not _________ the thought of _________ the election to...
9 9 votes
1 answers 1 answer
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1.0k views
A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0.1...
13 13 votes
1 answers 1 answer
726
726 views
Fill in the missing number in the series.$2$ $3$ $6$ $15$ __________ $157.5$ $630$
16 16 votes
2 answers 2 answers
771
771 views
Find the odd one in the following group$Q,W,Z,B \qquad B,H,K,M \qquad W,C,G,J \qquad M,S,V,X$$Q, W, Z, B$$B,H,K,M$$W,C,G,J$$M,S,V,X$
9 9 votes
5 answers 5 answers
1.1k
1.1k views
Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder, there are two lights. If one of the lights is red, the other light on ...
6 6 votes
2 answers 2 answers
823
823 views
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest eve...
4 4 votes
2 answers 2 answers
614
614 views
The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported a...
18 18 votes
7 answers 7 answers
1.2k
1.2k views
It takes $30$ minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. W...
0 0 votes
0 0 answers
382
382 views
The determinant of matrix $A$ is $5$ and the determinant of matrix B is $40$. The determinant of matrix $AB$ is ________
0 0 votes
0 0 answers
445
445 views
Let $X$ be a random variable which is uniformly chosen from the set of positive odd numbers less than $100$. The expectation, $E[X]$, is ________.
0 0 votes
0 0 answers
479
479 views
For $0 \leq t < \infty ,$ the maximum value of the function $f(t)= e^{-t}-2e^{-2t}$ occurs at$t= log_{e}4$$t= log_{e}2$$t= 0$$t= log_{e}8$
0 0 votes
1 1 answer
614
614 views
The value of $$\lim_{x\rightarrow \infty }(1 +\tfrac{1}{x})^{x}$$ is$\text{ln }2$$1.0$$e$$\infty$
0 0 votes
0 0 answers
448
448 views
If the characteristic equation of the differential equation $$\frac{\mathrm{d}^2 y}{\mathrm{dx}^2}+2\alpha \frac{\mathrm{d}y}{\mathrm{d} x}+y= 0$$ has two equal roots, th...
0 0 votes
0 0 answers
503
503 views
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedancein series with a current source ...
0 0 votes
0 0 answers
388
388 views
In the figure shown, the ideal switch has been open for a long time. If it is closed at t = 0, then the magnitude of the current (in mA) through the $4k \Omega$ resistor ...
0 0 votes
0 0 answers
466
466 views
A silicon bar is doped with donor impurities $N_{D}= 2.25 \times 10^{15} \text{atoms} / cm^{3}$. Given the intrinsic carrier concentration of silicon at $T = 300 \: K$ is...
0 0 votes
0 0 answers
570
570 views
An increase in the base recombination of a BJT will increasethe common emitter dc current gain $\beta$the breakdown voltage $BV_{CEO}$the unity-gain cut-off frequency $f_...
0 0 votes
0 0 answers
394
394 views
In CMOS technology, shallow P-well or N-well regions can be formed usinglow pressure chemical vapour deposition low energy sputteringlow temperature dry oxidationlow ener...
0 0 votes
0 0 answers
400
400 views
The feedback topology in the amplifier circuit ( the base bias circuit is not shown for simplicity) in the figure is ...
0 0 votes
0 0 answers
528
528 views
In the differential amplifier shown in the figure, the magnitude of the common-mode and differential-mode gains are $A_{CM}$ and $A_{d},$ respectively. If the resistance ...
0 0 votes
0 0 answers
437
437 views
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ...
0 0 votes
1 1 answer
4.8k
4.8k views
For an $n$-variable Boolean function, the maximum number of prime implicants is$2(n-1)$$n/2$$2^{n}$$2^{n-1}$
1 1 vote
1 1 answer
2.3k
2.3k views
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
0 0 votes
0 0 answers
494
494 views
In a half-subtractor circuit with $X$ and $Y$ as inputs, the Borrow $(M)$ and Difference $(N = X – Y)$ are given by$M = X \oplus Y, \: \: \: N = XY$$M = XY, \: \: \:N = ...
0 0 votes
0 0 answers
481
481 views
As FIR system is described by the system function $$ H(z) = 1 + \frac{7}{2} z^{-1} + \frac{3}{2}z^{-2}$$. The system ismaximum phaseminimum phasemixed phasezero phase
0 0 votes
0 0 answers
408
408 views
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$$0.5 – j 0.2...
0 0 votes
0 0 answers
622
622 views
Consider the periodic square wave in the figure shown. The ratio of the power in the $7^{th}$ harm...
0 0 votes
1 1 answer
1.1k
1.1k views
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively...