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- Question 1 of 17
##### 1. Question

In a baseband communications link, frequencies upto 3500 Hz are used for signaling. Using a raised cosine pulse with 75% excess bandwidth and for no inter-symbol interference, the maximum possible signaling rate in symbols per second is

CorrectIncorrect - Question 2 of 17
##### 2. Question

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

CorrectIncorrect - Question 3 of 17
##### 3. Question

The average power delivered to an impedance (4 – j3) ohm by a current 5cos(100 pi t + 100) A is in W

CorrectIncorrect - Question 4 of 17
##### 4. Question

With initial condition x(1) = 0.5 , the solution of the differential equation,

t (dx/dt) + x = t is

CorrectIncorrect - Question 5 of 17
##### 5. Question

A source alphabet consists of N symbols with the probability of the first two symbols being the same. A source encoder increases the probability of the first symbol by a small amount a and decreases that of the second by a . After encoding, the entropy of the source

CorrectIncorrect - Question 6 of 17
##### 6. Question

The radiation pattern of an antenna in spherical co-ordinates is given by

F (theta ) = cos 4 theta where theta lies between 0 to 180 degree (take 4 as power of cos)

The directivity of the antenna is

CorrectIncorrect - Question 7 of 17
##### 7. Question

Two independent random variables X and Y are uniformly distributed in the interval [–1, 1]. The probability that max[X, Y] is less than 1 2 is

CorrectIncorrect - Question 8 of 17
##### 8. Question

A transmission line with a characteristic impedance of 100 ohm is used to match a 50 ohm section to a 200 ohm section. If the matching is to be done both at 429 MHz and 1 GHz, the length of the transmission line can be approximately

CorrectIncorrect - Question 9 of 17
##### 9. Question

The Fourier transform of a signal h(t) is H( jw) = (2cosw)(sin2w) /w . The value of h(0) is

CorrectIncorrect - Question 10 of 17
##### 10. Question

A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is

CorrectIncorrect - Question 11 of 17
##### 11. Question

A binary symmetric channel (BSC) has a transition probability of 1/8. If the binary transmit symbol X is such that P(X=0) = 9/10, then the probability of error for an optimum receiver will be

CorrectIncorrect - Question 12 of 17
##### 12. Question

Let y[n] denote the convolution of h[n] and g[n], where h[n] = (1/2) to the power (n) u[n] n and g[n] is a causal sequence. If y[0] = 1 and y[1] = 1/2, then g[1] equals

CorrectIncorrect - Question 13 of 17
##### 13. Question

The maximum value of f(x) = x3 – 9×2 + 24x + 5 in the interval [1, 6] is (read number after x as power for example x3 is cube of x)

CorrectIncorrect - Question 14 of 17
##### 14. Question

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

CorrectIncorrect - Question 15 of 17
##### 15. Question

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

CorrectIncorrect - Question 16 of 17
##### 16. Question

A real (4 × 4) matrix satisfies the equation A2 = I (read 2 after A as sqaure of A), where is the (4 × 4) identity matrix. The positive eigen value of A is

CorrectIncorrect - Question 17 of 17
##### 17. Question

Let X1, X2, and X3 be independent and identically distributed random variables with the uniform distribution on [0, 1]. The probability P{X1 is the largest} is

CorrectIncorrect