Q.1 – Q.5 Carry One Mark Each
Q. An apple costs Rs.10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
The Buddha said, “Holding on to anger is like "grasping" a hot coal with the intent of throwing it at
Someone else; you are the one who gets burnt.”
Select the word below which is closest in meaning to the word underlined above.
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M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-law of M. How is P related to M?
The number that least fits this set: (324, 441, 97 and 64) is __________.
It takes 10 s and 15 s, respectively, for two trains traveling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ______.
Q.6 – Q.10 Carry Two Marks Each
Q. The velocity V of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the 7 seconds, how much will the odometer reading increase by (in m) ?
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies.
Which of the following can be logically inferred from the above sentences?
A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat?
Find the area bounded by the lines 3x + 2y = 14, 2x –3y = 5 in the first quadrant.
A straight line is fit to a data set (ln x,y). This line intercepts the abscissa at In x = 0.1 and has a
slope of –0.02. What is the value of y at x = 5 from the fit?
Q.11 – Q.35 Carry One Mark Each
Q. A straight line of the form y = mx + c passes through the origin and the point (x, y) = (2, 6). The value of m is __________.
(Important - Enter only the numerical value in the answer)
(Important - Enter only the numerical value in the answer)
A voltage V1 is measured 100 times and its average and standard deviation are 100 V and 1.5 V respectively. A second voltage V2, which is independent of V1, is measured 200 times and its average and standard deviation are 150 V and 2 V respectively. V3 is computed as: V3 = V1 + V2.
Then the standard deviation of V3 in volt is ___________.
The vector that is NOT perpendicular to the vectors (i + j + k) and (I + 2j + 3k) is________.
In the neighborhood of z = 1, the function f(z) has a power series expansion of the form f(z) = 1 + (1 - z) + (1 - z)2 + ………………
Then f(z) is
Three currents i1, i2 and i3 meet at a node as shown in the figure below, If i1 = 3 cos (ωt) ampere, i2 = 4 sin (ωt) ampere and i3 = I3 cos (ωt + θ) ampere, the value of I3 in ampere is ____________.
(Important - Enter only the numerical value in the answer)
An air cored coil has a Q of 5 at a frequency of 100 kHz. The Q of the coil at 20 kHz (neglecting skin effect) will be ___________.
(Important - Enter only the numerical value in the answer)
A current i(t) shown in the figure below is passed through a 1 F capacitor that had zero initial charge. The voltage across the capacitor for t > 2 s in volt is __________
(Important - Enter only the numerical value in the answer)
The signal x[n] shown in the figure below is convolved with itself to get y [n]. The value of y [-1] is _________.
(Important - Enter only the numerical value in the answer)
In the circuit shown below (v1 + v2) = [1 sin (2π 10000t) + 1 sin (2π 30000 t)] V. The RMS value of the current through the resistor R will be minimum if the value of the capacitor C in microfarad is _________.
(Important - Enter only the numerical value in the answer)
If X(s), the Laplace transform of signal x(t) is given by , then the value of x(t) as t → ∞ is ________.
(Important - Enter only the numerical value in the answer)
The number of times the Nyquist plot of will encircle the origin clockwise is _______.
(Important - Enter only the numerical value in the answer)
The value of ao which will ensure that the polynomial s3 + 3s2 + 2s + ao has roots on the left half of
the s-plane is
The input i(t) = 2sin(3t + π) is applied to a system whose transfer function . The amplitude of the output of the system is__________.
(Important - Enter only the numerical value in the answer)
The diode D used in the circuit below is ideal. The voltage drop Vab across the 1 k? resistor in volt is _____.
(Important - Enter only the numerical value in the answer)
In the circuit given below, the op amp is ideal. The output voltage VO in volt is ______
(Important - Enter only the numerical value in the answer)
In the circuit given below, the diodes D1 and D2 have a forward voltage drop of 0.6 V. The opamp used is ideal. The magnitude of the negative peak value of the output VO in volt is ________.
(Important - Enter only the numerical value in the answer)
The Boolean expression XY + (X' + Y') Z is equivalent to
In the digital circuit given below, F is
A 3 ½ digit DMM has an accuracy specification of +1% of full scale (accuracy class 1). A reading of 100.00 mA is obtained on its 200 mA full scale range. The worst case error in the reading in milliampere is + _______
(Important - Enter only the numerical value in the answer)