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GATE 2017-2018 :: GATE EEE

  1. A function y = 5x2 +10 x is defined over an open interval x = (1, 2) . At least at one point in this interval, dy/dx is exactly
  2. A.
    20
    B.
    25
    C.
    30
    D.
    35

  3. When the Newton-Raphson method is applied to solve the equation f (x) = x3 + 2x -1= 0, the solution at the end of the first iteration with the initial guess value as x0 = 1.2 is
  4. A.
    "“0.82
    B.
    0.49
    C.
    0.705
    D.
    1.69

  5. In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal.

    The average source current in Amps in steady-state is
  6. A.
    3/2
    B.
    5/3
    C.
    5/2
    D.
    15/4

  7. In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal.

    The PEAK-TO-PEAK source current ripple in Amps is
  8. A.
    0.96
    B.
    0.144
    C.
    0.192
    D.
    0.288

  9. The state variable formulation of a system is given as

    The system is
  10. A.
    controllable but not observable
    B.
    not controllable but observable
    C.
    both controllable and observable
    D.
    both not controllable and not observable

  11. The state variable formulation of a system is given as

    The response y (t) to a unit step input is
  12. A.
    1/2 - 1/2 e-2t
    B.
    1 - 1/2 e-2t - 1/2 e-2t
    C.
    e-2t - e-t
    D.
    1 - e-t

  13. The Voltage Source Inverter (VSI) shown in the figure below is switched to provide a 50 Hz, square-wave ac output voltage (vo) across an R-L load. Reference polarity of vo and reference direction of the output current io are indicated in the figure. It is given that R = 3Ω, L = 9.55 mH.

    In the interval when vo < 0 and io > 0 the pair of devices which conducts the load current is
  14. A.
    Q1, Q2
    B.
    Q3, Q4
    C.
    D1, D2
    D.
    D3, D4

  15. They were requested not to quarrel with others. 
    Which one of the following options is the closest in meaning to the word quarrel?
  16. A.
    make out
    B.
    call out
    C.
    dig out
    D.
    fall out

  17. In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41°C and of Tuesday to Thursday was 43°C. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was
  18. A.
    40
    B.
    43
    C.
    46
    D.
    49

  19. Complete the sentence: 
    Dare _______________ mistakes.
  20. A.
    commit
    B.
    to commit
    C.
    committed
    D.
    committing