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PREVIOUS YEAR SOLVED PAPERS - GATE 2018

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6. In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?

  • Option : B
  • Explanation :
    Let the total number of people are 100.

    So, M must be 80 – 40 = 40
    Ratio of male of female
    40 : 40
    1 : 1
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7. A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?

  • Option : C
  • Explanation :
    Four green, two red face

    Option 3 is maximum value.
    So, five green faces and two red faces.
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8. In the figure below, ∠DEC+∠BFC is equal to __________.

  • Option : A
  • Explanation :

    ∠E + ∠F = ?
    α + q + E = 180       ...(i)
    α + β + F = 180       ...(ii)
    α + β + p + q = 360       ...(iii)
    Equation (i) + (ii) = (iii)
    α + q + E + α + β + F = α + β + p + q
    E + F = p - α
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9. In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only 8/9th of the eligible men and 2/3rd of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?

  • Option : B
  • Explanation :
    Male + Female = 300     ...(i)
    Total money = (8/9)M x 750 + (2/3)F x 1000
            = (6000/9)M + (6000/9) F
            = (6000/9)(M + F)
    From equation (i)
      Total money = (6000/9)(300) = 2,00,000
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10. In pqr ≠ 0 and

  • Option : C
  • Explanation :
    px = q
    qy = r
    xlogp = logq
    ylogq = logr
    zlogr = logp
    x = logq/yp
    y = yz/logq
    z = logp /yr
    x x y x z = 1
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GATE 2018