# EE GATE 2010 - Online Test

Q1.
A single-phase transformer has a turns ratio of 1:2, and is connected to a purely resistive load as shown in the figure. The magnetizing current drawn is 1A, and the secondary current is 1A. If core losses and leakage reactance’s are neglected, the primary current is

Explaination / Solution:
No Explaination.

Q2. The following Karnaugh map represent a function F.

Which of the following circuits is a realization of the above function F?
Explaination / Solution:
No Explaination.

Q3. 25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:
Explaination / Solution:
No Explaination.

Q4. A balanced three-phase voltage is applied to a star-connected induction motor, the phase to neutral voltage being V. The stator resistance, rotor resistance referred to the stator, stator leakage reactance, rotor leakage reactance referred to the stator, and the magnetizing reactance are denoted by rs , rr , xs , xr and Xm, respectively. The magnitude of starting current of the motor is given by
Explaination / Solution:
No Explaination.

Q5. Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts: a. Hari’s age + Gita’s age > Irfan’s age + Saira’s age. b. The age difference between Gita and Saira is 1 year. However Gita is not the oldest and Saira is not the youngest. c. There are no twins. In what order were they born (oldest first)?
Explaination / Solution:
No Explaination.

Q6. Power is transferred from system A to system B by an HVDC link as shown in the figure. If the voltages VAB and VCD are as indicated in the figure, and I > 0, then

Explaination / Solution:
No Explaination.

Q7.
A separately excited dc machine is coupled to a 50Hz, three-phase, 4-pole induction machine as shown in the figure. The dc machine is energized first and the machines rotate at 1600 rpm. Subsequently the induction machine is also connected to a 50Hz, three-phase source, the phase sequence being consistent with the direction of rotation. In steady state,

Explaination / Solution:
No Explaination.

Q8. 5 skilled workers can build a wall in 20 days: 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi- skilled and 5 unskilled workers, how long will it take to build the wall?
Explaination / Solution:
No Explaination.

Q9.
Consider a step voltage wave of magnitude 1pu travelling along a lossless transmission line that terminates in a reactor. The voltage magnitude across the reactor at the instant the travelling wave reaches the reactor is

Explaination / Solution:
No Explaination.

Q10.
A separately excited DC motor runs at 1500 rpm under no-load with 200V applied to the armature. The field voltage is maintained at its rated value. The speed of the motor, when it delivers at torque of 5 Nm, is 1400 rpm as shown in the figure. The rotational losses and armature reaction are neglected.

The armature resistance of the motor is.
Explaination / Solution:
No Explaination.