Electronics & Communication Gate Yearwise
Electronics and Communication Gate 2018 Questions with Answer
Ques 40 GATE 2018
A curve passes through the point (x=1,y=0) and satisfies the differential equation dy/dx=(x2+y2)/2y+y/x. The equation that describes the curve is
Ques 41 GATE 2018
The position of a particle y(t) is described by the differential equation: d2y/dt2=-dy/dt-5y/4. The initial conditions are y(0)=1 and dy/dt|t=0=0. The position (accurate to two decimal places) of the particle at t=π is
Ques 42 GATE 2018
The contour C given below is on the complex plane z=x+jy, where j=√-1.
Ques 43 GATE 2018
Let r=x2+y-z and z3-xy+yz+y3=1. Assume that x and y are independent variables. At (x,y,z)=(2,-1,1) the value (correct to two decimal places) of ∂r/∂x is
Ques 44 GATE 2018
By giving him the last _________ of the cake, you will ensure lasting _________ in our house today. The words that best fill the blanks in the above sentence are
Ques 45 GATE 2018
Even though there is a vast scope for its ________, tourism has remained a/an _________ area. The words that best fill the blanks in the above sentence are
Ques 46 GATE 2018
If the number 715■423 is divisible by 3 (■ denotes the missing digit in the thousandths place), then the smallest whole number in the place of ■ is
Ques 47 GATE 2018
What is the value of 1+1/4+1/16+1/64+1/256+•••?
Ques 48 GATE 2018
A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters?
Ques 49 GATE 2018
Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, if the interest was compounded annually?
Ques 50 GATE 2018
Two alloys A and B contain gold and copper in the ratios of 2:3 and 3:7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is
Ques 51 GATE 2018
The Cricket Board has long recognized John's potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with die-hard fans, it has taken a toll on his own batting. Until recently, it appeared that he found it difficult to convert his aggression into big scores. Over the past three seasons though, that picture of John has been replaced by a cerebral, calculative and successful batsman-captain. After many years, it appears that the team has finally found a complete captain. Which of the following statements can be logically inferred from the above paragraph?
(i) Even as a junior cricketer, John was considered a good captain.
(ii) Finding a complete captain is a challenge.
(iii) Fans and the Cricket Board have differing views on what they want in a captain.
(iv) Over the past three seasons John has accumulated big scores.
Ques 52 GATE 2018
A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident.
(i) 85% of cabs in the city are green and the remaining cabs are blue.
(ii) A witness identified the cab involved in the accident as blue.
(iii) It is known that a witness can correctly identify the cab colour only 80% of the time.
Which of the following options is closest to the probability that the accident was caused by a blue cab?
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