GATE Solved Paper 2020 - GATE 2020

6. If P = 3, R = 27, T = 243, then Q + S = ______

  • Option : A
  • Explanation :
    P = 31
    Q = 32 = 9
    R = 33 = 27
    S = 34 = 81
    T = 35 = 243
    So, Q + S = 9 + 81 = 90
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8. His knowledge of the subject was excellent, but his classroom performance was______.

  • Option : D
  • Explanation :
    His knowledge of the subject was excellent, but his classroom performance was extremely poor.
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10. The figure below shows an annular ring with outer and inner radii as b and a, respect. The annular space has been painted in the form of blue color circles touching the and inner periphery of annular space. If the maximum n number of circles can be painted, then the unpainted area available in annular space is _____.

  • Option : B
  • Explanation :

    Radius of inner circle = a
    Radius of outer circle = b
    Radius of small circle = (b - a)/2
    area of donut shaped figure = π(b2 – a2)
    Area of each small circle =
    total area of all small circle= n
    Area of remaining portion
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