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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.