In an 8085 microprocessor based system, it is desired to increment the contents of memory location whose address is available in (DE) (register pair and store the result in the same location). The sequence of instruction is
XCHG
INRM
SCHG
INRM
INX D
XCHG
INR M
XCHG
A 4 bit modulo-6 ripple counter usesJ-K flip-flop. If the propagation delay of each flip-flop is 70 ns, the maximum clock frequency that can be used is equal to
3.1 MHz
b)3.6 MHz
c)4.2 MHz
d)4.9 MHz
For the circuit shown below transistor parameters are VTN =2 V2 Kn =0.5 mA/V2 and ⋋.=0.The transistor is in saturation
The value of gm and ro are
0.89 mS, infinite
b)0.89 mS, ze
c)1.48 mS, zero
d)1.48 mS, infinite
A single-phase half wave controlled rectifier has 400 sin 314t as the input voltage and R as the load. For the firing angle of 600 for the SCR, the average output voltage is
\(\frac { 400 }{ \pi } \)
b)\(\frac { 300 }{ \pi } \)
c)\(\frac { 240 }{ \pi } \)
d)\(\frac { 200 }{ \pi } \)
The voltage-flux adjustment of a certain single-phase 220 V induction watt-hour meter is altered so that the phase angle between the applied voltage and the flux due to it, is 85° (instead of 90°).The errors introduced in the reading of this meter when the current is 5 A at power factors of unity and 0.5 lagging are respectively
3.8 mW and 77.4 mW
b)- 3.8 mW and - 77.4 mW
c)- 4.2 Wand - 85.1 W
d)4.2 Wand 85.1 W
The damping frequency of a system is 8 rad/s. The rise time for a \(\theta \) of \({ 60 }^{ ° }\) is
0.4 s
b)0.261 s
c)7.5 s
d)15 s
A 240 V single-phase AC source is connected to a load with an impedance of 10 L60° Q. A capacitor is connected in parallel with the load. If the capacitor supplies 1250 VAR, the real power supplied by the source is
3600 W
b)2880 W
c)2400 W
d)1200 W
A cumulative compounded long shunt motor is driving a load at rated torque and rated speed. If the series field is shunted by a resistance equal to the resistance of the series field, keeping the torque constant,
the armature current increases
b)the motor speed increases
c)the armature current decreases
d)the motor speed decreases
The system \(y(t)=x\left( \frac { t }{ 2 } \right) \) has the properties
K, L, M, N
b)K, L
c)K, M
d)K, N
For the three-phase circuit shown in figure, the ratio of the current IR:IY:IB is given by
\(1:1:\sqrt { 3 } \)
b)1:1:2
c)1:1:0
d)\(1:1:\sqrt { \frac { 3 }{ 2 } } \)
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
A current sheet \(\overset { \rightarrow }{ K } =4\hat { u_{ x } } \) A/m flows in the region -2<y<2 in the plane at z=0. The magnetic field at point (0,0,3) is
\(0.75\hat { u_{ z } } -0.68\hat { u_{ z } } A/m\)
b)\(-0.68\hat { u_{ z } } A/m\)
c)\(0.68\hat { u_{ y } } -0.75\hat { u_{ z } } A/m\)
d)\(-0.75\hat { u_{ y } } A/m\)
The number of vertices of degree zero in G is
1
b)n
c)n+1
d)2n
Consider the following logic program P:
\(A(x)\leftarrow B(x,y),C(y)\\ \quad \quad \quad \leftarrow B(x,x)\)
Which of the following first order sentences is equivalent to P?
\((\forall x)[\exists y][B(x,y)\wedge C(y)]\Rightarrow A(x)]\wedge \neg (\exists x)[(B(x,x)] \)
b)\((\forall x)[Ay][B(x,y)\wedge C(y)]\Rightarrow A(x)]\wedge \neg (\exists x)[(B(x,x)] \)
c)\((\forall x)[Ey][B(x,y)\wedge C(y)]\Rightarrow A(x)]\wedge \neg (\exists x)[(B(x,x)] \)
d)\((\forall x)[Ay][B(x,y)\wedge C(y)]\Rightarrow A(x)]\wedge \neg (\exists x)[(B(x,x)] \)
The Newton-Raphson iteration
\({ x }_{ n+1 }=\frac { { x }_{ n } }{ 2 } +\frac { 3 }{ 2{ x }_{ n } }\)
can be used to solve the equation
X2 = 3
b)X3 = 3
c)X2 = 2
d)X3 = 2
A box contains 4 white balls and 3 red balls. In succession, two balls randomly selected and removed from the box. Given that the first removed ball is white, the probability that the second removed ball is red, is
\(\frac { 1 }{ 3 } \)
b)\(\frac { 3 }{ 7 } \)
c)\(\frac { 1 }{ 2 } \)
d)\(\frac { 4 }{ 7 } \)
Consider likely applicability of Cauchy's integral theorem to evaluate the following integral counter clockwise around the unit circle C.
\(1=\oint { _{ c } } sec\quad z\quad dz,z\) being a complex variable. The value of I will be
l=0,singularity set \(\oint { . } \)
b)l-0, singularity set \(\left\{ \pm \frac { 2n+1 }{ 2 } \pi ,n=0,1,2,... \right\} \)
c)\(l=\frac { \pi }{ 2 } ,singularities\quad set=\left\{ \pm n\pi ;n=0,1,2,... \right\} \)
d)None of the above
The partial differential equation \(\frac { \partial ^{ 2 }\phi }{ \partial { x }^{ 2 } } +\frac { \partial ^{ 2 }\phi }{ \partial { y }^{ 2 } } +\left( \frac { \partial \phi }{ \partial x } \right) +\left( \frac { \partial \phi }{ \partial y } \right) =0\) has
degree 1 and order 2
b)degree 1 and order 1
c)degree 2 and order 1
d)degree 2 and order 2
The value of \(l=\int _{ 0 }^{ a }{ \int _{ \frac { { x }^{ 2 } }{ a } }^{ 2a-z }{ xy\quad dx\quad dy } } \)is
\(\frac { 3 }{ 8 } { a }^{ 4 }\)
b)\(\frac { 5 }{ 8 } { a }^{ 4 }\)
c)\(\frac { 7 }{ 8 } { a }^{ 4 }\)
d)\({ a }^{ 4 }\)
The trace and determinant of a (2\(\times\)2) matrix are known to be -2 and -35 , respectively .Its eigen values are
-30 and -5
b)-37 and -1
c)-7 and 5
d)17.5 and -2
The arithmetic mean of two numbers is 46 and the difference between these numbers is 40. Find the two numbers.
26,66
b)28,68
c)22,62
d)27,67
The true statement of the following is
log (xy)=log x log y
b)log (xy) = log x + log y
c)Botha (a) and (b)
d)None of these
A worker may claim Rs 15 each km which he travels by taxi and Rs 5 for each km which he drives his own car. If in one week he claimed Rs 500 for travelling 80 km, how many km did he travel by taxi?
10
b)20
c)30
d)80
A can do a piece of work in 2 days and B in 16 days. After working for 4 days with A, B leaves the work. In how many more days will A finish the remaining work?
5 days
b)12 days
c)8 days
d)9 days
A sum of Rs. x is lent for simple interest at 9.5% per annum for 4 yr. What is the total amount?
Rs.1.38x
b)Rs.1.24x
c)Rs.1.16x
d)Rs.1.42x
If A : B = 3 : 4 and B : C = 2 : 7, find A : B : C.
4 : 3 : 14
b)3 : 4 : 14
c)14 : 4 : 3
d)4 : 14 : 3
A shopkeeper earns a profit of 20% on selling a book at 16% discount on the printed price. The ratio of the cost price and the printed price is
5 : 6
b)5 : 7
c)7 : 10
d)6 : 11
Two numbers are less than a third number by 25% and 30% respectively. How much percent is the second number less than first?
\(6\frac { 1 }{ 3 } \)%
b)\(6\frac { 1 }{ 4 } \)%
c)\(6\frac { 2 }{ 3 } \)%
d)\(6\frac { 3 }{ 4 } \)%
A worker was engaged for a certain number of days and was promised to be paid rs1755. Heremained absent for some days and was paid rs 1365 only. Waht were his daily wages?
182
b)195
c)185
d)192
A question a main statement is followed by four statement: A,B,C and D. Choose the ordered pair of statement
A. All Ds are Ps.
B. All Ds are Qs.
C. All Qs are not Ds.
D. All Qs are Ps.
DA
b)AC
c)CA
d)None of these.
Read the data given below and answer the questions that follow.
A building has six floors, referred to as 1-6 from lowest to highest. Six Companies L, M, O, P and Q occupy the six floors, not necessarily in that order, with necessarily in that order, with one company on one floor.
(i) N is the same number of floors from M as M is from L.
(ii) P and Q are not adjacent floors.
(iii) Q is on higher floor than O.
(iv) L is on floor 5.
Which of the following must be true if N is on floor 3?
M must be two floors lower than L
b)N must be on a floor between L and M
c)O must be one floor lower than Q
d)None of the above
Read the following information carefully and answer the questions.
Five dramas A,B,C,D, and E have to be staged in 6 h where 1 h needs to be given per drama.
(1) A break of 1 has to be taken in the third or fourth hour.
(2) Drama show cannot be started with A and has to end in C.
(3) D has to follow B immediately with no break in between.
(4) A cannot be done immediately after D.
(5) A has to precede E immediately with no break in between.
Which drama is staged immediately after D?
B
b)E
c)C
d)None of these
In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is 9 yr younger to her husband and the brother is 7 yr older than his sister. What is the age of the mother?
40 yr
b)50 yr
c)45 yr
d)60 yr
Each of these questions has a pair of Capitalized words followed by four pairs of words. choose the pair of words which best express the relationship similar to that in the capital pair.
FOOD : GOURMET
Film : Critic
b)Craft : Skill
c)Art : connoisseur
d)Manager : Administrator
Choose the most appropriate option to fill in the blank.
People in our office are so ............. that the work never gets done in time.
energetic
b)lethargic
c)reflective
d)enthusiastic
Choose the appropriate word closest in meaning to the italic word.
a nostalgic feeling
Delighted
b)Nauseated
c)Homesick
d)Painful
The contents of Accumulator after the execution of following instructions will be
MVI A, B7H
ORA A
RAL
6EH
b)6FH
c)EEH
d)EFH
In the circuit shown, the input bits 0 and 1 are represented by 0 and 5 V respectively. The op-amp is ideal but all the resistances and the 5 V inputs have tolerance of ± 10%. The specification- for the tolerance of DAC is
10%
b)25%
c)35%
d)5%
Assume that the threshold voltage of the n-channel MOSFET shown in figure is + 0.75 V. The output characteristics of the MOSFET are also shown.
The voltage gain of the amplifier is
+ 5
b)- 7.5
c)+ 10
d)- 10
A DC to DC transistor chopper suppled from a fixed voltage DC source feeds a fixed resistive-inductive load and a freewheeling diode.The chopper operates at 1 KHz and 50% duty cycle.Without changing the value of the average DC current through the load ,if it is desired to reduce the ripple content o load current ,the control action needed will
increase the chopper frequency keeping the duty cycle constant
b)increases the chopper frequency and duty cycle in equal ratio
c)decrease only the chopper frequency
d)decrease only the duty cycle
A slide-wire is used for measurement of current in the circuit. The voltage drop across standard resistor of 0.2Ω is balanced at 83 cm. Find the magnitude of current, if the standard cell emf of 1.53 V is balanced at 42 cm
19.43A
b)12.94A
c)21.75A
d)14.95A
The transfer function of certain system is given as \(T(s)=\frac { 1 }{ (s+2)(s+200) } \). The 2% settling time for unit step is
4s
b)2s
c)8s
d)1s
Consider the following statements with reference to protective relays:
1. The minimum relay coil current at which the relay operates is called pick-up value.
2. The pick-up value of a relay is 7.5 A and fault current is 30 A. Therefore, its plug setting multiplier is 5.
3. An earth fault current is generally lesser than the short circuit current.
4. Induction relays are used with both AC and DC quantities.
Which of these statements are correct?
1 and 2
b)2 and 4
c)1 and 3
d)1, 2 and 4
It is desirable to eliminate 5th harmonic voltage from the phase voltage of an alternator.The coils should be short-pitched by an electrical angle of
300
b)360
c)720
d)180
A sequence x(n) has non-zero values as shown in figure.
The sequence
\(y(n)=\begin{cases} \times \left( \frac { n }{ 2 } -1 \right) \qquad for\quad n\quad even \\ 0\qquad for\quad n\quad odd \\ \quad \end{cases}\) will be
In a series RLC circuit R=2kΩ, L =1H and C=\(1\over 100\)μF.The resonant frequency is
2 x 104Hz
b)\({1\over \pi}\times10^4Hz\)
c)102Hz
d)2π x 104Hz
Which of the following equations is not Maxwell's equation for static electromagnetic field in a linear homogeneous medium? (3rd equation)
\(\nabla \times \vec { D } =0\)
b)\({ \nabla }^{ 2 }\vec { A } ={ \mu }_{ 0 }\vec { I } \)
c)\(\nabla .\vec { B } =0\)
d)\(\oint \vec { B } .d\vec { I } ={ \mu }_{ 0 }I\)
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
What is the first order predicate calculus statement equivalent to the following every teacher is liked by some students?
\(\forall (x)\{ teacher(x)->\exists (y)[student(y)->likes(y,x)]]\)
b)\(\forall (x)\{ teacher(x)->\exists (y)[student(y)\wedge likes(y,x)]]\)
c)\(\exists (y),\forall (x)\quad [teacher(x)->[student(y)\wedge likes(y,x)]]\)
d)\(\forall (x),[teacher(x)\wedge \exists (y)[student(y)\wedge likes(y,x)]]\)
What is the chromatic number of an n-vertex simple connected graph which does not contain any odd length cycle? Assume n \(\ge \) 2
2
b)3
c)n-1
d)n
Using bisection method the negative of x3 - x + 11 = 0 is
-2.3736
b)-2.3838
c)-2.3737
d)None of these
Consider a company that assembles computers. The probability of a faulty assembly of any computer is P. The company therefore, subject each computer to a testing process. This testing process gives the correct result for any computer with a probability of q. What is the probability of a computer being declared faulty?
pq+(1-p)(1-q)
b)(1-q)p
c)(1-p)q
d)pq
The analytic function \(f(z)=\frac { z-1 }{ { z }^{ 2 }+1 } \) has singularities at
1 and -1
b)1 and 1
c)1 and -i
d)i and -i
Which of the following is a solution to the differential equation \(\frac { dx(t) }{ dt } +3x(t)=0?\)
\(x(t)=3{ e }^{ -t }\)
b)\(x(t)=2{ e }^{ -3t }\)
c)\(x(t)=-\frac { 3 }{ 2 } { t }^{ 2 }\)
d)\(x(t)=3{ t }^{ 2 }\)
A cubic polynomial with real coefficients
cab possibly have no extrema and no zero crossing.
b)may have up to three extreme and up to two zero crossings
c)cannot have more than two extreme and more than three zero crossings
d)will always have an equal number of extreme and zero crossing.
The following simultaneous equations
x+y+z=3
x+2y+3z=4
x+4y+kz=6
will not have a unique solution for k is equal to
0
b)5
c)6
d)7
Find three numbers in GP whose sum is 26 and product is 216.
2,6,18
b)3,4,18
c)3,6,12
d)4,6,8
If log(x+y)=log x=log y and x =11568, then yis equal to
7.37776
b)7
c)5.3776
d)5
A man can walk up moving "up" escalator in 30 s. The same man can walk down this moving "up" escalator in 90 s. Assume that his walking speed is same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?
30 s
b)45 s
c)60 s
d)90 s
Sita takes tice as much time as Gita to complete a work and Rita does it in the same time as Sita and Gita together. If all three working together can finish the work in 6 days, then the time taken by Gita, Sita and Rita to finifh the work, is
18, 36 and 12 days
b)20, 38 and 14 days
c)24, 42 and 18 days
d)None of the above
Ramesh took a loan of Rs.6000 at 6% per annum simple interest for 3 yr. After one year the rate was increased to 6\(\frac{1}{2}\)% per annum. How much shall Ramesh have to pay at the end to clear his loan?
Rs. 7480
b)Rs.7390
c)Rs.7140
d)Rs.7260
The average weight of A, B, C is 48 kg. If the average weight of A and B be 45 kg and that of B and C be 50 kg. Find the weight of B.
44 kg
b)54 kg
c)46 kg
d)56 kg
A boys an article and sells it to B at a profit of 10%. B sell sit to C gaining 20 % and C pays Rs.1848 for the article. Find the cost price of A
Rs.1400
b)Rs.1428
c)Rs.1560
d)Rs.1540
15% of the people eligible to vote are between 18 and 25 yr of age. In an election, 75% of those eligible to vote. who are between 18 and 25, actually voted. In the election, the number of persons between 18 and 25, who actually voted was what percent of those eligible to vote?
12.50%
b)10.75%
c)11.25%
d)10.25%
Four wheels moving 12,25,20 and 30 revolutions in a minute starting at a certai point on the circumference downwards. After what interval of time will they come together again in the same position?
30 s
b)20 s
c)15 s
d)45 s
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. All roses have thorns.
B. All roses have nectar.
C. All plants with nectar have thorns.
D. All shrubs have roses.
E. All shrubs have nectar.
F. Some roses have thorns.
BEF
b)BCF
c)BDE
d)ACF
Four girls are sitting on a bench to be photographed. Shikha is to the left of Reena. Manju is to the right of Reena. Rita is between Reena and Manju. Who would be the second from the left in the photograph?
Reena
b)Shikha
c)Manju
d)Rita
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.
Somebody had taken the last chocolate from the box, much to the annoyance of the other three. Every one has given one statement, regarding the happening
Anjali - "Bharti took the last chocolate."
Bharti - "Dalip took the last chocolate."
Chander - "Who, me? can't be!"
Dalip - "Bharti is lying when says I took the chocolate."
Who could haven taken it, given that only one of the given statements is true?
Anjali
b)Bharti
c)Chander
d)Dalip
These Questions are based on the following information for an examination.
A. Candidates appeares | 10500 |
B. Passed in all the five sbjects | 5685 |
C. Passed in three subjects only | 1498 |
D. Passed in two subjects only | 1250 |
E. Passed in one subjects only | 835 |
F. Failed in Wnglish only | 78 |
G. Failed in Mathematics only | 275 |
H. Failed in Physics only | 149 |
I. Failed in Chemistry only | 147 |
J. Filed in Biology only | 221 |
How many candidates failed because of having failed in four or less subjects?
4815
b)4453
c)3618
d)2368
Select the pair of Words, Which exhibits the same relationship between each other as the given pair of words.
Atelier : sculptor ::
Gymnast : gymnasium
b)Sculptor : sculpture
c)Quarry : miner
d)Station : train
Choose the option that completes the sentnce most meaningfully and appropriately.
He was taciturn and ...... and the idea to listening to others was quite ..... to him.
succinct... exciting
b)egomaniac ....... repugnant
c)prolix ..... appealing
d)anti-social ... repulsive
Tick the word that is not a synonym of the given word.
Exhausted
Restless
b)Desirous
c)Energetic
d)Consumed