Self Studies

Sequences and S...

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  • Question 1
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    If α,β,γ\alpha ,\beta , \gamma are three consecutive integers. If these integers are raised to first, second and third positive powers respectively, and added then they form a perfect square, the square root of which is equal to the sum of these integers. Also, α<β<γ\alpha < \beta < \gamma . Then, γ\gamma is equals to:

  • Question 2
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    Find the 4th4^{th} term of (9x13x  ) 18{ \left( 9x-\cfrac { 1 }{ 3\sqrt { x }  }  \right)  }^{ 18 }.

  • Question 3
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    Find the area (in square units) of the triangle whose vertices are (a,b+c),(a,bc)(a, b+c), (a, b-c) and (a,c).(-a, c).

  • Question 4
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    Find the missing number in the circle:

  • Question 5
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    13, 74, 290, 650,.......

  • Question 6
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    An alphabet contains a AsA^{'s} and b Bs B^{'s} . (In all a+b letters ). The number of words each containing all the As A^{'s} and any number of Bs B^{'s}, is 

  • Question 7
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    The maximum number of intersection points of n circles and n straight lines , among themselves  is 80.The value of n is

  • Question 8
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    Figures 11 and 22 are related in a particular manner. Establish the same relationship between figures 33 and 44 by choosing a figure from amongst the options.

  • Question 9
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    Select the INCORRECT match

  • Question 10
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    If D (3, -1), E (2, 6) and F (5, 7) are the vettices of the sides of ΔDEF\Delta DEF, the area of triangle DEF is sq. units. 

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