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  • Question 1
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    Let f be a function satisfying f(xy) = f(x)/y for all positive real numbers. If f(500) = 3, then what is the value of f(600)?

  • Question 2
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  • Question 3
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    The sum of the cubes of three consecutive natural numbers is divisible by

  • Question 4
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    What is the sum of the series 1.2.3 + 2.3.4 + 3.4.5 + ……. up to n terms?

  • Question 5
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  • Question 6
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    The locus of the mid-points of the focal chords of the parabola is another parabola with which of the following equations?

  • Question 7
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    If the line  lies in the plane x + 3y - αz + β = 0, then (α, β) equals

  • Question 8
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    The negation of the statement 'If I become a teacher, then I will open a school', is

  • Question 9
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    Let a, b and c be such that b(a + c) ≠ 0. If  then the value of n is

  • Question 10
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