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The contents of accumulator after the execution of following instruction will be
MVI A, A7H
OR A A
RLC
CFH
b)4FH
c)4EH
d)CEH
A signal m(t)=10 cos\(\left( 2\pi 100t \right) \) undergoes frequency modulates a carrier. The resulting FM signal is \(x(t)=20cos\left\{ 2\pi { 10 }^{ 6 }t+15sin\left( 2\pi 100t \right) \right\} \)
The approximate bandwidth of the FM would be
3.2 kHz
b)1 kHz
c)100 kHz
d)None of these
A rectangular waveguide has dimensions 1cmX0.5cm Its cut off frequency is
58 GHz
b)10 GHz
c)15 GHz
d)12 GHz
The impulse response h|n| of a linear time-invariant system is given as \(h\left[ n \right] =\begin{cases} -2\sqrt { 2 } ,\quad n=1,\quad -1 \\ 4\sqrt { 2 } ,\quad \ \ \ n=2,\quad -2 \\ 0,\quad \ \ \ \ \ \ \ otherwise \end{cases}\) .If the input to the above system is the sequence \({ e }^{ \frac { j\pi n }{ 4 } }\), then the output is
\(4\sqrt { 2 } { e }^{ \frac { j\pi n }{ 4 } }\)
b)\(4\sqrt { 2 } { e }^-{ \frac { j\pi n }{ 4 } }\)
c)\(4\ { e }^{ \frac { j\pi n }{ 4 } }\)
d)\(-4\ { e }^{ \frac { j\pi n }{ 4 } }\)
Which one of the following is applicable to any network linear or non-linear, active or passive, time varying or invariant as long as Kirchhoff's laws are not violated?
Tellegen's theorem
b)Reciprocity theorem
c)Maximum power transfer theorem
d)Superposition theorem
The initial state of MOO-16 down counter is 0110. What will it be after 37 clock pulses?
Inddeterminate
b)0101
c)0001
d)0110
The phase-shift oscillator in figure below operates at f=80 kHz. The value of resistance RF is
\(814\Omega\)
b)\(236\Omega\)
c)\(148\Omega\)
d)\(438\Omega\)
An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier
will always be unstable at high frequencies
b)will be stable for all frequencies
c)may be unstable, depending on the feedback factor
d)will oscillate at low frequencies
For the circuit shown in the following figure, transistors M1 and M2 are identical n-MOS transistors. Assume that M2 is in saturation and the output is unloaded. The current IX is related to Ibias as
\({ I }_{ X }={ I }_{ bias }+{ I }_{ S }\)
b)\({ I }_{ X }={ I }_{ bias }\)
c)\({ I }_{ X }={ I }_{ bias }-{ I }_{ S }\)
d)\({ I }_{ X }={ I }_{ bias }-\left( { V }_{ DD }-\frac { { V }_{ out } }{ { R }_{ E } } \right) \)
Let A be a sequence of 8 distinct integers sorted in ascending order. How many distinct pairs of sequences B and C are there such that (i) each is sorted in ascending order (ii) B has 5 and c has 3 elements and (iii) the result of merging B ans C given A?
2
b)30
c)56
d)256
The set {1,2,3,5,7,8,9} under multiplication modulo 10 is not a group. Given below are four plausible reasons. Which one of them is false?
It is not closed
b)2 does not have an inverse
c)3 does not have an inverse
d)8 does not have an inverse
The following resolution rule is used in logic programming. Drive clause (P^Q) from clauses (PvR),\((Q\wedge \neg R)\)
Which one of the following statements related to this rule is false?
\(\\ P\vee R\wedge (Q\vee \neg R)\Rightarrow (P\wedge R)is\quad logically\quad valid\)
b)\(P\wedge Q\Rightarrow (P\vee R)\wedge (Q\vee \neg R)\quad is\quad logically\quad valid\)
c)\(\\ (P\vee R)is\quad satisfiable\quad if\quad and\quad only\quad if\quad (P\vee R)\wedge (Q\wedge \neg R)\quad is\quad satisfiable\)
d)\(\\ (P\vee Q)\Rightarrow False\quad if\quad and\quad only\quad if\quad both\quad P\quad and\quad Q\quad are\quad unsatisfiable\)
The relation to solve x = e -x using Newton-Raphson method is
\({ X }_{ n+1 }={ e }^{ { -X }_{ n } }\)
b)\({ X }_{ n+1 }={ X }_{ n }{ -e }^{ { -X }_{ n } }\)
c)\({ X }_{ n+1 }=(1+x_{ n })\frac { { e }^{ { -X }_{ n } } }{ 1+{ e }^{ { -X }_{ n } } } \)
d)\({ X }_{ n+1 }=\frac { { X }^{ 2 }_{ n }-e^{ { -x }_{ n } }(1+{ X }_{ n })-1 }{ { X }_{ n }-{ e }^{ { -X }_{ n } } } \)
If two lines of regression are at right angles, then \(\rho \) (X,Y) is equal to
1
b)-1
c)1 or -1
d)0
\(\lim _{ x\rightarrow \infty }{ \frac { x-sinx }{ x+cosx } } \) equals to
1
b)-1
c)\(\infty \)
d)-\(\infty \)
The solution of the differential equation \({ x }^{ 2 }\frac { dy }{ dx } +2xy-x+1=0\) given that at x=1, y=0 is
\(\frac { 1 }{ 2 } -\frac { 1 }{ x } +\frac { 1 }{ { 2x }^{ 2 } } \)
b)\(\frac { 1 }{ 2 } -\frac { 1 }{ x } -\frac { 1 }{ { 2x }^{ 2 } } \)
c)\(\frac { 1 }{ 2 } +\frac { 1 }{ x } +\frac { 1 }{ { 2x }^{ 2 } } \)
d)\(-\frac { 1 }{ 2 } +\frac { 1 }{ x } +\frac { 1 }{ { 2x }^{ 2 } } \)
Assuming i=\(\sqrt { -1 } \)and t is a real number \(\int _{ 0 }^{ \pi }{ { e }^{ it } } dt\) is
\(\frac { \sqrt { 3 } }{ 2 } +\frac { i }{ 2 } \)
b)\(\frac { \sqrt { 3 } }{ 2 } -\frac { i }{ 2 } \)
c)\(\frac { 1 }{ 2 } +i\frac { \sqrt { 3 } }{ 2 } +\frac { 1 }{ 2 } +i\left( 1-\frac { \sqrt { 3 } }{ 2 } \right) \)
d)0
The following system of equations
3x+2y+z = 4
x-2y+z = 2
-2x+2z = 5
no solution
b)an unique solution
c)multiple solution
d)an inconsistency
A man saves Rs.145000 in ten years. In each year after the first year he saved Rs.2000 more than he did in the proceeding year. How much did he save in the first year?
Rs.5000
b)Rs.5500
c)Rs.6000
d)Rs.6500
(log tan10 log tan 20 ...log tan 500) is
1
b)-1
c)0
d)\(\frac { 1 }{ \sqrt { 2 } } \)
A boat running upstream takes 5 h 12 min to cover a certain distance, while it takes 4 h to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
23 : 3
b)21 : 2
c)25 : 7
d)28 : 9
A can type a report in 16 h and B can do the same job in 12 h. With the help of C they complete the report in 6 h. Then, C alone can type the report in how many hours?
48 h
b)42 h
c)45 h
d)49 h
Simple interest on Rs.1680 for 4 yr at 7\(\frac{1}{2}\) % per annum is equal to the simple interest on Rs.1200 at 7% per annum for a certain period of time. The period of time is
7 yr
b)6yr
c)5\(\frac{1}{3}\)yr
d)7\(\frac{1}{4}\)yr
There are two classes I and II consisting of 42 and 52 students respectively. If the average weight of class I is 45 kg and that of class II is 40 kg. Find the average weight of all the students of class I and II.
42.17kg
b)41.25 kg
c)43.50 kg
d)39.75 kg
Ramesh buys 2 articles for Rs.600. He sells one of them at a profit of 22% and other at a loss of 8% and makes no profit or loss at the end. What is the cost price of the article he sold at a loss?
Rs.400
b)Rs.420
c)Rs.440
d)None of these
p is 5 times as large as q, the percent that q is less than p is
70%
b)75%
c)80%
d)85%
A number 475 is divided into two parts in such a way that the LCM and HCF of the two parts is 2250 and 25 respectively. Find the two numbers.
250,225
b)200,275
c)175,300
d)240,235
A question contains four arguments of three statements each. Choose the set in which third statement is a logical conclusion of the first two.
If T has juice today, N will have Horlicks.
A. T is drinking juice.
B. N is drinking tea.
C. T is not drinking juice.
D. N is drinking Horlicks.
AC
b)BC
c)CB
d)CD
Five girls are sitting in row. Rashi is not adjacent to Sulekha or Anuradha is not adjacent to Sulekh Rashi is adjacent to Monika. Monika is seated in the middle of the row. Then to whom is Anuradha adjacent in the following choices?
Rashi
b)Sulekha
c)Abha
d)Monika
Read the given information carefully and answer the question.
P, Q, R, S, T and ?U are 6 friends among them there are 2 married couples
(and rest unmarried) and pursue 6 different professions. i.e., advocate,
medico, teacher, editor, counsellor and housewife.
(1) S is the housewife and is married to the medico.
(2) R is an editor
(3) P, who is married tot he teacher, is an advocate
(4) Q is not teacher and t is unmarried.
What is the profession of T?
Medico
b)Teacher
c)Counsellor
d)None of these