GATE Solved Paper 2017-19 - GATE 2018

1. The area of a square is d. What is the area of the circle which has the diagonal of the square as its diameter?

  • Option : D
  • Explanation :

    Area of square = d
    Side one side of square = √d
    Diagonal of square = √(d+d) = √(2d)
    Area of circle = πr2
             = π(√(2d)/2)2
             = π(d/2)
             = (1/2)πd
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2. “A __________ investigation can sometimes yield new facts, but typically organized ones are more successful.”

  • Option : A
  • Explanation :
    Meandering: mean is wandering aimlessly/indirect. Consistent is acting or done in the same way over time
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3. What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of 7 in each case?

  • Option : C
  • Explanation :
    From the given number is divided by either by 20 or 42 or by 76 K*LCM (20,42,76) + constant difference = 7980 K + 7 is natural number . So the Ans is 7987
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5. What is the missing number in the following sequence?
2, 12, 60, 240, 720, 1440, _______, 0

  • Option : B
  • Explanation :
    So, 1440 must be answer.
    2---- 2*6---- 12*5---60---60*4--------1440*1----1440*0= 0
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