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Permutations an...

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  • Question 1
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    Consider an incomplete pyramid of balls on a square base having 1818 layers; and having 1313 balls on each side of the top layer. Then the total number NN of balls in that pyramid satisfies

  • Question 2
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    With the help of match-sticks, Zalak prepared a pattern as shown below. When 9797 matchsticks are used, the serial number of the figure will be ...........

  • Question 3
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    Ten points lie in a plane so that no three of them are collinear. The number of lines passing through exactly two of these points are dividing the plane into two regions each containing four of the remaining points is 

  • Question 4
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    Area of the triangle formed by the points (0,0),(2,0)(0,0),(2,0) and (0,2)(0,2) is

  • Question 5
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    Find the term independent of xx in (32x213x ) 9{ \left( \cfrac { 3 }{ 2 } { x }^{ 2 }-\cfrac { 1 }{ 3x }  \right)  }^{ 9 }.

  • Question 6
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    If f(x)=logx  f(x)=\left| \log { \left| x \right|  }  \right| , then

  • Question 7
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    Three bells commenced to toll at the same time and tolled at intervals of 20,30,4020, 30, 40 seconds respectively. If they toll together at 66 am, then which of the following is the time at which they can toll together

  • Question 8
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    Choose 3,4,53, 4, 5 points other than vertices respectively on the sides AB,BCAB, BC and CACA of a ABC\triangle ABC. The number of triangles that can be formed by using only these points as vertices, is

  • Question 9
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    Find the 4th4^{th} term of (9x13x  ) 18{ \left( 9x-\cfrac { 1 }{ 3\sqrt { x }  }  \right)  }^{ 18 }.

  • Question 10
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    Directions For Questions

    A trip of Saurashtra was organised by the school in a mini bus for 28 students and in a regular bus for 45 students. Each student contributed Rs 500. During the trip, the expenses were : food bill Rs 9,855, entry fees Rs 3,285, mini bus charge Rs 5,432, the regular bus charge Rs 8,730 and boarding charge Rs 6,132. 

    ...view full instructions

    What was the bus charge per student?

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