Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 23  27 of 64
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Question number: 23
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60 then the area of BEF is.
Choices
Choice (4)  Response  

a.  90 

b.  80 

c.  60 

d.  120 

Question number: 24
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Suppose the height of a pyramid with a square base is decreased by p % and the lengths of the sides of its square base are increased by p% (where p > 0). If the volume remains the same, then.
Choices
Choice (4)  Response  

a.  60 < p < 65 

b.  50 < p < 55 

c.  65 < p < 70 

d.  55 < p < 60 

Question number: 25
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 39, 40, 41. The length of the main diagonal of the cuboid which joins a pair of opposite corners is
Choices
Choice (4)  Response  

a.  60 

b. 


c. 


d.  49 

Question number: 26
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
Let ABCD be a trapezium with AD parallel to BC. Assume there is a point M in the interior of the segment BC such that AB = AM and DC = DM. Then the ratio of the area of the trapezium to the area of triangle AMD is –
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  2 

d.  None of the above 

Question number: 27
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
In the figure given below, a rectangle of perimeter 100 units is divided into 9 congruent rectangles:
Find the value of (a, b, c).
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

