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  • Question 1
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  • Question 2
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    If g(x) satisfies the conditions of Rolle’s theorem in [1, 2] and g′(x) = f(x), then  is equal to

  • Question 3
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  • Question 4
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    The equation of the plane through the line of intersection of planes x + y + z + 3 = 0 and 2x − y + 3z + 1 =0 and parallel to the line 

  • Question 5
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    Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is

  • Question 6
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    Which of the following is logically equivalent to ∼ (∼p ⇒ q) ?

  • Question 7
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  • Question 8
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     then f(2x) − f(x) is not divisible by

  • Question 9
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  • Question 10
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    Two vertical poles AL and BM of heights 20 m and 80 m respectively stand apart on a horizontal plane. If A and B be the feet of the poles and AM and BL intersect at P, then the height of P is equal to

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