MathematicsBasic Geometry (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 1  4 of 23
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Question number: 1
» Mathematics » Basic Geometry
Appeared in Year: 2013
Question
An open box A is made from a square piece of tin by cutting equal squares S at the corners and folding up the remaining flaps. Another open box B is made similarly using one of the squares S. If U and V are the volumes of A and B respectively, then which of the following is not possible?
Choices
Choice (4)  Response  

a.  V > U  
b.  U = V  
c.  Minimum value of U > maximum value of V.  
d.  U > V 
Question number: 2
» Mathematics » Basic Geometry
Appeared in Year: 2013
Question
Which of the following statements holds always?
Choices
Choice (4)  Response  

a.  Every rectangle is a square  
b.  Every parallelogram is a trapezium  
c.  Every parallelogram is a rectangle.  
d.  Every rhombus is a square 
Question number: 3
» Mathematics » Basic Geometry
Appeared in Year: 2013
Question
ABCD is a square with side a. With centers A, B, C and D four circles are drawn such that each circle touches externally two of the remaining three circles. Let 5 be the area of the region in the interior of the square and exterior of the circles. Then the maximum value of 8 is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 4
» Mathematics » Basic Geometry
Appeared in Year: 2013
Question
A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides proportional.
S _{1} = A’s triangles must be similar
S _{2} = B’s pentagons must be similar
Which of the following statement is correct?
Choices
Choice (4)  Response  

a.  S _{2} is true, but S _{1} is not true.  
b.  S _{1} is true, but S _{2} is not true.  
c.  S _{1} and S _{2} are true.  
d.  Neither S _{1} and nor S _{2} is true. 