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Sequences and S...

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  • Question 1
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    Find the area of the triangle whose vertices are (5,1),(3,5),(5,2)(-5, -1), (3, -5), (5, 2)

  • Question 2
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    The sides AB, BC, CA of a triangle ABC have 3,43,4 and 55 interior points respectively on them. The number of triangles that can be constructed using these points as vertices is-

  • Question 3
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    If the vertices of a triangle are (1,2),(4,6)(1,2),(4,-6) and (3,5)(3,5), then its area is

  • Question 4
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    Ten students of the physics department decided to go on a educational trip.They hired a mini bus for the trip, but the bus can only carry eight students at a time and each student goes at least once. Find the minimum number of trips the bus has to make so that each students can go for equal number of trips.

  • Question 5
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    Number of rectangles in the grid shown which are not squares is?


  • Question 6
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    Number of ways in which 77 green bottles and 88 blue bottles can be arranged in a row if exactly 11 pair of green bottles is side by side is (Assume all bottles to be a like except for the colour).

  • Question 7
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    The last three digits in 10!10! are ?

  • Question 8
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    If the letters of the word "VARUN" are written in all possible ways and then are arranged as in a dictionary, then the rank of the word VARUN is?

  • Question 9
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    The number of zeroes, at the end of 50!50!, is

  • Question 10
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    Garlands are formed using 6 red roses and 6 yellow roses of different sizes. The number of arrangements in garland which have red roses and yellow roses come alternately is

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