MCQs GATE Electronics & Communication Engineering

1. An apple costs Rs. 10. An onion costs Rs. 8. Select the most suitable sentence with respect to grammar and usage.
(a) The price of an apple is greater than an onion.
(b) The price of an apple is more than onion.
(c) The price of an apple is greater than that of an onion.
(d) Apples are more costlier than onions.
Ans. c

2. M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-inlaw of M. How is P related to M?
(a) P is the son-in-law of M.
(b) P is the grandchild of M.
(c) P is the daughter-in-law of M.
(d) P is the grandfather of M.
Ans. b
 
3. The number that least fits this set : (324, 441, 97 and 64) is ...........
(a) 324
(b) 441 
(c) 97
(d) 64
Ans. c
 
4. It takes 10s and 15s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ..........
(a) 2.0
(b) 10.0
(c) 12.0
(d) 22.0
Ans. a

5. A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat?
(a) Manu
(b) Sravan
(c) Trideep
(d) Pavan
Ans. c
 
6. Find the area bounded by the lines 3x + 2y = 14, 2x – 3y = 5 in the first quadrant
(a) 14.95
(b) 15.25
(c) 15.70
(d) 20.35
Ans. b
 
7. A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at In x = 0.1 and has a slope of –0.02. What is the value of y at x = 5 from the fit?
(a) –0.030
(b) –0.014
(c) 0.014
(d) 0.030
Ans. a

8. The probability of getting a "head" in a single toss of a biased coin is 0.3. The coin is tossed repeatedly till a "head” is obtained. If the tosses are independent, then the probability of getting "head" for the first time in the fifth toss is.......
(a) 0.07201
(b) 0.07202
(c) 0.07204
(d) 0.07203
Ans. d

9. The minimum number of 2-input NAND gates required to implement a 2-input XOR gate is 
(a) 4
(b) 5
(c) 6
(d) 7
Ans. a

10. If a right-handed circularly polarized wave is incident normally on a plane perfect conductor then the reflected wave will be
(a) right-handed circularly polarized
(b) left-handed circularly polarized
(c) elliptically polarized with a tilt angle of 45º
(d) horizontally polarized
Ans. b
 

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