This book, including all its chapters, ________ interesting. The students as well as the instructor ________ in agreement about it.

•  (A) is, was
•  (B) are, are
•  (C) is, are
•  (D) were, was

People were prohibited ______ their vehicles near the entrance of the main administrative building.

•  (A) to park
•  (B) from parking
•  (C) parking
•  (D) to have parked

Select the word that fits the analogy:

Do : Undo :: Trust : ______

•  (A) Entrust
•  (B) Intrust
•  (C) Distrust
•  (D) Untrust

Stock marktes _______ at the news of the coup.

•  (A) poised
•  (B) plunged
•  (C) plugged
•  (D) probed

If P, Q, R, S are four individuals, how many teams of size exceeding one can be formed, with Q as a member ?

•  (A) 5
•  (B) 6
•  (C) 7
•  (D) 8

Non-performing Assets (NPAs) of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of interest, principal, or both. Reserve Bank of India (RBI) has changed the definition of NPA thrice during 1993-2004, in terms of the holding period of loans. The holding period was reduced by one quarter each time. In 1993, the holding period was four quarters (360 days).

Based on the above paragraph, the holding period of loans in 2004 after the third revision was ______ days.

•  (A) 45
•  (B) 90
•  (C) 135
•  (D) 180

Select the next element of the series: Z, WV, RQP, ________

•  (A)  LKJI
•  (B)  JIHG
•  (C)  KJIH
•  (D)  NMLK

In four-digit integer numbers from 1001 to 9999, the digit group "37" (in the same sequence) appears _______ times.

•  (A)  270
•  (B)  279
•  (C)  280
•  (D)  299

Given a semicircle with O as the centre, as shown in the figure, the ratio $ \frac{\overline{AC}+\overline{CB}}{\overline{AB}} $ is ______ , where $ \overline{AC},\;\overline{CB} $ and $ \overline{AB} $ are chrods.

•  (A) $ \sqrt2 $
•  (B) $ \sqrt3 $
•  (C) 2
•  (D) 3

The revenue and expenditure of four different companies P, Q, R and S in 2015 are shown in the figure. If the revenue of company Q in 2015 was 20% more than that in 2014, and company Q had earned a profit of 10% on expenditure in 2014, then its expenditure (in million rupees) in 2014 was ______ .

•  (A)  32.7
•  (B)  33.7
•  (C)  34.1
•  (D)  35.1

$ ax^3+bx^2+cx+d $ is a polynomial on real $x$ over real coefficients $ a, b, c, d $ where in $ a\neq0 $. Which of the following statements is true ?

•  (A) $d$ can be chosen ensure that $x=0$ is a root for any given set $ a, b, c. $
•  (B) No choice of coefficients can make all roots identical.
•  (C) $ a, b, c, d $ can be chosen to ensure that all roots are complex.
•  (D) $c$ alone cannot ensure that all roots are real.

Which of the following is true for all possible non-zero choices of integers $ m,\;n;\;m\neq n $ or all possible non-zero choices of real numbers $ p,\;q;\;p\neq q $, as applicable ?

•  (A)  $ \frac1\pi\int_0^\pi\sin\;m\theta\sin\;n\theta d\theta=0 $
•  (B)  $ \frac1{2\pi}\int_{\pi/2}^{\pi/2}\sin\;p\theta\;\sin\;q\theta d\theta=0 $
•  (C)  $ \frac1{2\pi}\int_{-\pi}^\pi\sin\;p\theta\;\cos\;q\theta d\theta=0 $
•  (D) $ \lim\limits_{\alpha\rightarrow\infty}\frac1{2\alpha}\int_{-\alpha}^\alpha\sin\;p\theta\;\sin\;q\theta d\theta=0 $

Which of the following statements is true about the two sided Laplace transform ?

•  (A)  It exists for every signal that may or may not have a Fourier transform.
•  (B)  It has no poles for any bounded signal that is non-zero only inside a finite time interval..
•  (C) The number of finite poles and finite zeroes must be equal.
•  (D)  If a signal can be expressed as a weighted sum of shifted one sided exponentials then its Laplace Transform will have no poles.

Consider a signal $ x\left[n\right]=\left(\frac12\right)^n1\left[n\right], $ where $ 1[n]=0 $ if $ n<0, $  and $ 1[n]=1 $ if $ n\geq0. $ The z-transform of $ x\left[n-k\right],\;k>0\;\mathrm{is}\;\frac{z^{-k}}{1-{\displaystyle\frac12}z^{-1}} $ with region of convergence being

•  (A) $ \vert z\vert<2 $
•  (B) $ \vert z\vert>2 $
•  (C) $ \vert z\vert<1/2 $
•  (D) $ \vert z\vert>1/2 $

The value of the following complex integral, with C representing the unit circle centered at origin in the counterclockwise sense, is:

$ \int_C\frac{z^2+1}{z^2+2z}\mathrm{dz} $

•  (A) $ 8\pi i $
•  (B) $ -8\pi i $
•  (C) $ \mathit-\pi i $
•  (D) $ \pi i $

$ x_R $ and $x_A$ are, respectively, the rms and average values of $ x(t)=x(t-T) $, and similarly, $ y_R $ and $ y_R $ are, respectively, the rms and average value of $ y\left(t\right)=kx\left(t\right).k,T $ are independent of t. Which of the following is true ?

•  (A) $ y_A=kx_A;y_R=kx_R $
•  (B) $ y_A=kx_A;y_R\neq kx_R $
•  (C) $ y_A\neq kx_A;y_R=kx_R $
•  (D) $ y_A\neq kx_A;y_R\neq kx_R $

A three-phase cylindrical rotor synchronous generator has a synchronous reactance X_S and a negligible armature resistance. The magnitude of per phase terminal voltage is V_A and the magnitude of per phase induced emf is E_A. Considering the following two statements, P and Q,

P: For any three-phase balanced leading load connected across the terminals of this synchronous generator, V_A is always more than E_A

Q: For any three-phase balanced lagging load connected across the terminals of this synchronous generator, V_A is always less than E_A

which of the following options is correct ?

•  (A)  P is false and Q is true.
•  (B) P is true and Q is false.
•  (C)  P is false and Q is false.
•  (D)  P is true and Q is true.

A lossless transmission line with 0.2 pu reactance per phase uniformly distributedd along the length of the line, connecting a generator bus to a bus, is protected up to 80 % of its length by a distance relay placed at the generator bus. The generator terminal voltage is 1 pu. There is no generation at the load bus. The threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is closest to:

•  (A) 1.00
•  (B) 3.61
•  (C) 5.00
•  (D) 6.25

Out of the following options, the most relevant information needed to specify the real power (P) at the PV buses in a load flow analysis is

•  (A)  solution of econimic load dispatch
•  (B)  rated power output of the generator
•  (C)  rated voltage of the generator
•  (D)  base power of the generator

Consider a linear time-invariant system whose input $ r\left(t\right) $ and output $y(t)$ are related by the following differential equation:

$ \frac{d^2y\left(t\right)}{d\left(t\right)^2}+4y(t)=6r(t) $

The poles of this system are at

•  (A) $ +2j,-2j $
•  (B) $ +2,-2 $
•  (C) $ +4,-4 $
•  (D) $ +4j,-4j $