Q. No. 1 – 5 Carry One Mark Each
Choose the grammatically CORRECT sentence:
Statement: You can always give me a ring whenever you need.
Which one of the following is the best inference from the above statement?
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In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41ºC and of Tuesday to Thursday was 43ºC. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in ºC on Thursday was
Complete the sentence:
Dare ____________ mistakes.
They were requested not to quarrel with others.
Which one of the following options is the closest in meaning to the word quarrel?
Q. No. 6 – 10 Carry Two Marks Each
A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16km in the third quarter. The average speed of the car in km per hour over the entire journey is
If the current changes from 3A to 5A in 2s and the emf is 10V. Calculate the inductance.
Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement?
The set of values of p for which the roots of the equation 3x2 + 2x + p (p − 1) = 0 are of opposite sign is
What is the chance that a leap year, selected at random, will contain 53 Sundays?
Q. No. 11 – 35 Carry One Mark Each
Given a vector field the line integral evaluated along a segment on the x-axis from x=1 to x=2 is
Square roots of −i, where are
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are V, V1 and V2 as indicated. The correct relation among the voltmeter readings is
Leakage flux in an induction motor is
The angle δ in the swing equation of a synchronous generator is the
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k>0, the elements of the corresponding star equivalent will be scaled by a factor of
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is
For a periodic signal v(t)=30sin 100t + 10cos 300t + 6 sin(500t+π/4), the fundamental frequency in radians/s is
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles
The Bode plot of a transfer function G(s) is shown in the figure below.
The gain (20log|G(s)|) is 32 dB and -8 dB at 1 radians/s and 10 radians/s respectively. The phase is negative for all ω. Then G(s) is
In the feedback network shown below, if the feedback factor k is increased, then the
The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is
The curl of the gradient of the scalar field defined by V = 2x2y+3y2z+4z2x is=
A continuous random variable X has a probability density function f(x) = e-x , 0 < x < ∞, Then P{X > 1 } is
The flux density at a point in space is given by B = 4xax + 2kyay + 8az Wb / m2 The value of constant k must be equal to
A single-phase transformer has no-load loss of 64 W, as obtained from an open-circuit test. When a short-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV windings, he measured loss is 81 W. The transformer has maximum efficiency when operated at
A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is 10∠ - 150° A and if the voltage at the load terminals is 100∠60°V , then the
A source Vs(t) = V cos100π t has an internal impedance of( 4+ j3). If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in should be
Two systems with impulse responses h1 (t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by