Q. No. 1 – 5 Carry One Mark Each
Q. 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
Q.
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
Find the sum to n terms of the series 10 + 84 + 734 + …
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
Q.
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
Consider a vector field The closed loop line integral
can be expressed as
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
In a forward biased pn junction diode, the sequence of events that best describes
the mechanism of current flow is
In IC technology, dry oxidation (using dry oxygen) as compared to wet oxidation
(using steam or water vapor) produces
The maximum value of q until which the approximation sinθ ≈ θ holds to within 10%
error is
The divergence of the vector field
The impulse response of a system is h(t) = tu(t). For an input u(t − 1) , the output is
The Bode plot of a transfer function G (s) is shown in the figure below
The gain (20 log |G(s)| ) is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively.
The phase is negative for all ω. The G(s) is
In the circuit shown below what is the output voltage ( ) out V if a silicon transistor
Q and an ideal op-amp are used?
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
For 8085 microprocessor, the following program is executed
MVI A, 05H;
MVIB, 05H;
PTR: ADD B;
DCR B;
JNZ PTR;
ADI 03H;
HLT;
At the end of program, accumulator contains
The bit rate of a digital communication system is R kbits/s. The modulation used is
32-QAM. The minimum bandwidth required for ISI free transmission is
For a periodic signal v (t) = 30sin100t + 10cos300t + 6 sin(500t + π / 4) , the
fundamental frequency in rad/s
In a voltage-voltage feedback as shown below, which one of the following
statements is TRUE if the gain k is increased?
A band-limited signal with a maximum frequency of 5 kHz is to be sampled.
According to the sampling theorem, the sampling frequency which is not valid is
In a MOSFET operating in the saturation region, the channel length modulation
effect causes
Which one of the following statements is NOT TRUE for a continuous time causal
and stable LTI system?
The minimum Eigen value of the following matrix is
A polynomial f( x) = a4 x4 + a3 x3 + a2 x2 + a1 x − a0 with all coefficients positive has