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
Rajan's age is 3 times than that of Ashok. In 12 yr, Rajan's age will be double the age of Ashok. Rajan's present age is
27 yr
b)32 yr
c)36 yr
d)40 yr
Select the pair of Words, Which exhibits the same relationship between each other as the given pair of words.
Defunct : working ::
Obsequious : sycophantic
b)Obsessed: preoccupies
c)Obsolescent : declining
d)Deify : demonize
Choose the option that completes the sentence most meaningfully and appropriately.
The new gadget was quite .................. iin addition to being safe and convenient.
expensaive
b)rough
c)ordinary
d)economical
Tick the word that is not a synonym of the given word.
Quixotic
Romantic
b)Practicable
c)Ideal
d)Unworldly
A OMA transfer implies
direct transfer of data between memory and accumulator
b)direct transfer of data between memory and input devices without use of microprocessor
c)transfer of data exclusively within microprocessor register
d)a fast transfer of data between microprocessor and input device
The anti-aliasing filter has a higher cut-off frequency fm .Its output is sampled periodically every Ts second. For proper recovery of the signal at the receiver, Ts must be
\({ T }_{ s }\ge \frac { 1 }{ \left( { 2f }_{ m } \right) } \)
b)\({ T }_{ s }\le \frac { 1 }{ \left( { 2f }_{ m } \right) } \)
c)\({ T }_{ s }\ge \frac { 2 }{ { f }_{ m } } \)
d)\(\frac { 2 }{ { f }_{ m } } \ge { f }_{ m }\)
The voltage will drop by 30 db in the line after
1.46 m
b)3.36 m
c)4.39 m
d)6.43 m
The discrete-time Fourier coefficient of \(2sin\left( \frac { 4\pi }{ 19 } n \right) +cos\left( \frac { 4\pi }{ 19 } n \right) +1\) is
\(-j\delta \left[ k+2 \right] +j\delta \left[ k-2 \right] +\frac { 1 }{ 2 } \delta \left[ k+5 \right] +\frac { 1 }{ 2 } \delta \left[ k-5 \right] +\delta \left[ k \right] \)
b)\(-j\delta \left[ k+2 \right] +j\delta \left[ k-2 \right] +\frac { 1 }{ 2 } \delta \left[ k+5 \right] +\frac { 1 }{ 2 } \delta \left[ k-5 \right] +1\)
c)\(-j\delta \left[ k-2 \right] +j\delta \left[ k+2 \right] +\frac { 1 }{ 2 } \delta \left[ k-5 \right] +\frac { 1 }{ 2 } \delta \left[ k+5 \right] +\delta \left[ k \right] \)
d)None of the above
In the RL circuit of figure if IL (at 50 \(\mu\)s) = 9.2 mA and IL (150 \(\mu\)s) = 1.24 mA, the initial condition IL (0) is
43.3 mA
b)25 mA
c)86.7 mA
d)- 86.7 mA
If \((211)_{ x }=(152)_{ 8 }\) then the value of base x is
6
b)5
c)7
d)9
For the op-amp circuit shown in the figure below, Vo is
-2 V
b)-1 V
c)- 0.5 V
d)0.5 V
The forward-path transfer function of a unity feedback system is G(s)=\(\frac { K }{ s(s+a) } \) . The system has 10% overshoot and velocity error constant Kv =100.
The value of K and a is
237\(\times\)103 , 237
b)144,14.4\(\times\)103
c)14.41\(\times \)03 ,144
d)237,23.7\(\times \)103
A semiconductor has following parameter
\({ \mu }_{ n }=7500{ cm }^{ 2 }/V-s\)
\({ \mu }_{ p }=300{ cm }^{ 2 }/V-s\)
\({ n }_{ i }=3.6\times { 10 }^{ 12 }{ cm }^{ -3 }\)
The minimum conductivity is
\(0.6\times { 10 }^{ -3 }\left( \Omega -cm \right) ^{ -1 }\)
b)\(1.7\times { 10 }^{ -3 }\left( \Omega -cm \right) ^{ -1 }\)
c)\(2.4\times { 10 }^{ -3 }\left( \Omega -cm \right) ^{ -1 }\)
d)\(6.8\times { 10 }^{ -3 }\left( \Omega -cm \right) ^{ -1 }\)
Solution of recurrence relation
ar - 5ar-1 + 8ar-2 - 4ar-3 = 0 is
ar = A1(1)r + (A2 + A3r) (2)r
b)ar = (A1 + A2r2 + A3r3) (3)r
c)ar = (A1 + A2r + A3 r2) (-2)r
d)None of the above
Let G(x)=\(\frac { 1 }{ { (1-x) }^{ 2 } } =\sum _{ i=0 }^{ \infty }{ g(i){ x }^{ i } } ,\quad where\quad |x|<1,\quad what\quad is\quad g(i)?\)
i
b)i+1
c)2i
d)-2i
Let graph (x) be a predicate which denotes that x is a graph. Let connected (x) be predicate which denotes that x is connected. Which of the following first order logic sentences does not represent the statement 'Not every graph is connected'?
\(\neg \forall \) x (graph(x)\(\Rightarrow \)connected(x))
b)\(\exists x(graph(x)\wedge \neg connected(x))\)
c)\(\neg \forall (\neg graph(x)\vee connected(x))\)
d)\(\forall x(graph(x))\Rightarrow \neg connected(x))\)
In the solution of the following set of linear equations by Gauss elimination using partial pivoting 5x + y + 2Z = 34; 4y - 3z = 12 and 10x - 2y + z = -4; the pivots for elimination of x and y are
10 and 4
b)10 and 2
c)5 and 4
d)5 and -4
A program consists of two modulus executed sequentially. Let f1(t) and f2(t) respectively denote the probability density functions of time taken to execute the two modulus. The probability density function of the overall line taken to execute the program is given by
f1(t)+f2(t)
b)\(\int _{ 0 }^{ t }{ { { f }_{ 1 }(x).{ f }_{ 2 }(x)dx } } \)
c)\(\int _{ 0 }^{ t }{ { { f }_{ 1 }(x).{ f }_{ 2 }(t-x)dx } } \)
d)max {f1(t),f2(t)}
The residue of a complex function \(X(z)=\frac { 1-2z }{ z(z-1)(z-2) } \) at its pole are
\(\frac { 1 }{ 2 } ,-\frac { 1 }{ 2 } and1\)
b)\(\frac { 1 }{ 2 } ,-\frac { 1 }{ 2 } and-1\)
c)\(\frac { 1 }{ 2 } ,1,and-\frac { 3 }{ 2 } \)
d)\(\frac { 1 }{ 2 } ,-1,and-\frac { 3 }{ 2 } \)
In the recurrence relation the value of in nPn (x) is equal to
(2n+1)xPn+1(x)-(n-1)Pn-2(x)
b)(2n-1)xPn-1(x)-(n-1)Pn-2(x)
c)(2n-1)xPn-1(x)+(n-1)Pn-2(x)
d)xP'n(x)-P'n-1(x)
At t=0, the function f(t)=\(\frac { sin\quad t }{ t } has\)
a minimum
b)a discontinuity
c)a point of inflection
d)a maximum
For the matrix [M] = \(\begin{bmatrix} \frac { 3 }{ 5 } & \frac { 4 }{ 5 } \\ x & \frac { 3 }{ 5 } \end{bmatrix}\) , the transpose of the matrix is equal to the inverse of the matrix [M]T = [M]-1.the value of x is given by
-\(\frac{4}{5} \)
b)-\(\frac{3}{5}\)
c)\(\frac{3}{5}\)
d)\(\frac{4}{5}\)
Find the sum of all odd numbers between 200 and 300
10000
b)12000
c)12500
d)10100
The value of \({ log }_{ 3 }\left( 1+\frac { 1 }{ 3 } \right) +{ log }_{ 3 }\left( 1+\frac { 1 }{ 4 } \right) { log }_{ 3 }\left( 1+\frac { 1 }{ 5 } \right) +......+{ log }_{ 3 }\left( 1+\frac { 1 }{ 24 } \right) is\)
-1+2log35
b)2
c)3
d)4
Excluding stoppages, the speed of a bus is 24 km/h and including stoppages, it is 20 km/h. For how many minutes does the bus stop per hour?
8 min
b)12 min
c)10 min
d)14 min
In a factory men, women and children were employed in the ratio of 8:5:1 to finish a job and their individua wages were in the ratio of 5:2:3. When 20 women were employed, the total daily wages of all amounted to Rs.318. Find the total daily wages in rupees paid to each category.
210, 70 and 38
b)240, 60, 18
c)200, 90, 28
d)Cannot be determined
A certain sum amounts Rs.18600 in 4 yr and Rs.20400 in 6 yr under simple Interest. Find the Sum.
Rs.16780
b)Rs. 15450
c)Rs.16000
d)Rs.15000
Consider the following relational schemas for a library database :
Book (Title, Author, Catalog_no, Publisher, Year, Price)
Collection (Title, Author, Catalog_no)
with in the following functional dependencies
1. Title Author\(\rightarrow \) Catalog_no
2. Catalog_no\(\rightarrow \) Title Author Publisher Year
3. Publisher Title Year\(\rightarrow \) Price
Assume {Author, Title} is the key of both schemes.
Which of the following statement is true?
Both Book and Collection are in BCNF
b)Both Book and Collection are in 3 NF only
c)Book is in 2 NF and Collection is in 3NF
d)Both Book and Collection are in 2 NF only
A merchant has 1000 kg of tea, part of which he sells at 6% profit and the rest at 15% profit. He gains 8.8% on the whole. The quantity sold at 6% profit is
260 kg
b)300 kg
c)275 kg
d)350 kg
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 traffic lights at three different road crossingschange after every 50 s, 75 s and 100 s respectively. If thet start changing simultaneously at 10 am, after how much time will they change again simultaneously?
6 min
b)5 min
c)3 min
d)8 min
Each of the answer choice has a combination of three statements from the given set of six statements .You are required to identify the answer choice in which the statements are logically related.
A. Pill is a capsule.
B. No capsules are pills.
C. Some medicines are capsules.
D. Some pills are medicines.
E. All pills are medicines.
F. Some medicines are not capsules
ADF
b)BEF
c)ACD
d)CDB
Read the following information carefully and answer the questions give below it.
(i) Seven books are placed one above the other in a particular way.
(ii) The history book is placed directly above the civics book.
(iii) The geography book is fourth from the bottom and the English book is fifth from the top.
(iv) There are two books in between the civics and economics books.
To know which three books are kept above the English book, which of the following information, if any, is required?
The economics book is between the English and the science books
b)There are two books between the English and the history books
c)The geography book is above the English book
d)No other information is required
Five men and one woman, named Pratibha including a Geologist, were recently invited as experts to an Internation conference held at Dubai on the state of Global Warming. Read the following statements carefully to answer the question.
(1) Kamal debated Lala and the Meteorologist at the beginning of the conference.
(2) Pratibha is not the Physicist.
(3) Manav is not an Urban planner.
(4) Jay is neither the Metrologist.
(5) At the end of the conference, the six experts had a general discussion around a table. The debaters were the Physicist, Kamal, Jay, the zoologist, the male urban planner and Prakash.
Which of the following combinations is not correct?
Jay-Geologist
b)Manav-Physicist
c)Pratibha-Zoologist
d)Lala-Biologist
Five men and one woman, named Pratibha including a Geologist, were recently invited as experts to an Internation conference held at Dubai on the state of Global Warming. Read the following statements carefully to answer the question.
(1) Kamal debated Lala and the Meteorologist at the beginning of the conference.
(2) Pratibha is not the Physicist.
(3) Manav is not an Urban planner.
(4) Jay is neither the Metrologist.
(5) At the end of the conference, the six experts had a general discussion around a table. The debaters were the Physicist, Kamal, Jay, the zoologist, the male urban planner and Prakash.
Which of the following combinations is not correct?
Jay-Geologist
b)Manav-Physicist
c)Pratibha-Zoologist
d)Lala-Biologist
Jayesh is as much younger to Anil as he is older to Prashent. If the sum of the ages of Anil and Prashant be 48 yr, what is the age of jayesh?
20 yr
b)24 yr
c)30 yr
d)Can not be determined
Select the pair of words, which exhibits the same relationship between each other as the given Capitalized pair of words.
RECALL : REMEMBER ::
counterfeit : forge
b)behave : re-enact
c)construct : terminate
d)predict : prove
Choose the option that completes the sentnce most meaningfully and appropriately.
We have been begging money for this task but it remained ......... ours would be the terrible ...... if we did not succeed.
accomplished ... achievement
b)unaccomplished ... humiliation
c)unfulfilled ... idea
d)undecided .... mortification
Tick the word that is not a synonym of the given word.
Adroitness
Expertise
b)Skilfulness
c)Clumsiness
d)Nimbleness