MathematicsBasic Geometry (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 1  4 of 21
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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
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. 

Question number: 4
» Mathematics » Basic Geometry
Question
All the arcs in following diagram are semicircles. This diagram shows two paths connecting A to B. Path I is the single large semicircle and Path II consists of the chain of small semicircles.
Choices
Choice (4)  Response  

a.  Path I is shorter than Path II 

b.  Path I is of the same length as Path II, only if the number of semi circles is not more than 4 

c.  Path I is of the same length as Path II 

d.  Path I is longer than path II 
