EC GATE 2017 PAPER 01 - Online Test
Q1. A good transconductance amplifier should have
Answer : Option C
Explaination / Solution:
A good trans conductance amplifier should have high input and output resistance.
Q2. Some table are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusion can be deduced from the preceding sentences?
(i) At least one bench is a table
(ii) At least one shelf is a bench
(iii) At least one chair is a table
(iv) All benches are chairs
Answer : Option B
Explaination / Solution:
Q3. 40% of deaths on city roads may be attributed to drunken driving. The number of degree needed to represent this as a slice of a pie chart is
Answer : Option B
Explaination / Solution:
Given 40% of deaths on city roads are drunken driving
w.k.t. in pie chart
100% ⟶ 3600
1%⟶(360/100)
40%⟶(360/100) × 40
40%⟶144%
Q4. There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?
Answer : Option A
Explaination / Solution:
Q5. 
A contour line joints locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.
The path from P to Q is best described by
Answer : Option C
Explaination / Solution:
Q6. Trucks (10m long) and cars (5 m long) go on a single lane bridge. There must be a gap of atleast 20 m after each truck and a gap of atleast 15m after each car. Trucks and cars travel at a speed of 36 km/h. If cars and trucks go alternatively, what is the maximum number of vehicles
that can use the bridge in one hour?
Answer : Option A
Explaination / Solution:
Given speeds both car & Truck = 36 km/hour
They travel in 1 hr = 36 km = 36000 m.
Maximum no.of vehicles than can use the bridge
in1hour = (36000m/50m) = 720sets = 720 × 2 = 1440vechicles
Alternate method
Length of truck + gap required = 10+20 = 30m
Length of car + gap required = 5+15 = 20m
Alternative pairs of Truck and car needs 30+ 20 = 50 m.
Let 'n' be the number of repetition of (Truck + car) in 1 hour (3600 sec).
Givenspeed = 36km/hr = 10m/sec
(50m × n)/(3600sec) = 36 km/hr
(50n/3600)m/sec = 10 m/sec
n = (36000/50) = 720 (Truck + car)
So, 720 (Truck + car) passes = 720 × 2 = 1440vehicles
Q7. S, T, U, V, W, X, Y and Z are seated around a circular table. T's neighbours are Y and V. Z is seated third to the left of T and second to the right of S.U's neighbours are S and Y; and T and W are not seated opposite each other. Who is third to the left of V?
Answer : Option A
Explaination / Solution:
Following circular seating arrangement can be drawn.
Only one such arrangement can be drawn.
The person on third to the left of V is X.
Q8. In a digital communication system, the overall pulse shape p(t) at the receiver before the sampler has the Fourier transform P(f). If the symbols are transmitted at the rate of 2000 symbols per second, for which of the following cases is inter symbol interference zero?
Answer : Option B
Explaination / Solution:
For ISI free pulse,
If P(t) is having spectrum P(f)
Then 
= constant
= constantRs = 2KSpa
Thin condition is met by pulse given in option B.
Q9. Which one of the following statements about differential pulse code modulation (DPCM) is true?
Answer : Option D
Explaination / Solution:
DPCM Block diagram
eq[n] is quantized e[n]
e[n] is difference of message signal sample with its prediction.
Q10. Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of the transmitter and the receiver antennas, and the distance between them are all doubled, and everything else remains unchanged, the maximum capacity of the wireless link
Answer : Option C
Explaination / Solution:
Channelcpacity remain same.
