Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 1  6 of 112
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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 » 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: 4
» 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 

Question number: 5
» Mathematics » Algebraic Expressions
Appeared in Year: 2013
Question
An open box is made from a square lamina of side 12cm, by cutting equal squares at the corners and folding up the remaining flaps. The volume of this box cannot be
Choices
Choice (4)  Response  

a.  115c. c 

b.  120 c. c 

c.  125 c. c 

d.  130 c. c 

Question number: 6
» Mathematics » Square and Cube Root
Appeared in Year: 2013
Question
The square of an odd integer must be of the form
Choices
Choice (4)  Response  

a.  6 n + 1 

b.  8n + l 

c.  4n + 1 but may not be 8 n + 1 

d.  6n + 3 
