Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 1  5 of 119
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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 » Quadratic Equations
Appeared in Year: 2013
Question
, where a, b, c are real, has real roots if
Choices
Choice (4)  Response  

a.  a b c are integers 

b.  ac > 0 and b is zero 

c. 


d.  None of the above 

Question number: 3
» Mathematics » Trigonometry
Appeared in Year: 2013
Question
∆ ABC is an equilateral triangle of side cms.
P is any point in the interior of ∆ ABC. If x, y, z are the distances of P from the sides of the triangle, then x + y + z =
Choices
Choice (4)  Response  

a.  2 + cms. 

b.  4 cms. 

c.  3 cms. 

d.  5 cms. 

Question number: 4
» 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: 5
» Mathematics » Trigonometry
Appeared in Year: 2013
Question
The value of tan 1° tan2° tan3°……. tan 89° is
Choices
Choice (4)  Response  

a.  0 

b.  0.5 

c.  2 

d.  1 
