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  • Question 1
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    The distance between the foci of an ellipse is 10 and its latus rectum is 15. Its equation referred to its axes as axes of coordinates is

  • Question 2
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    If {x} denotes the fractional part of x, then , where [a] denotes the integral part of a, is equal to

  • Question 3
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    Consider the following statements

  • Question 4
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    In an experiment with 15 observations on X, the following results were available  On observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is

  • Question 5
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    Two numbers x and y are chosen at random (without replacement) from amongst the numbers 1, 2, 3, .....2004. The probability that x3 + yis divisible by 3 is

  • Question 6
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  • Question 7
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  • Question 8
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    If A is a square matrix, then AAT is a

  • Question 9
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    If [ ] denotes the greatest integer less than or equal to the real number under consideration and –1 ≤ x < 0; 0 ≤ y < 1; 1 ≤ z < 2 , then the value of the determinant  is

  • Question 10
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