Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 6  10 of 119
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Question number: 6
» 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: 7
» 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 
Question number: 8
» 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: 9
» Mathematics » Exponents
Appeared in Year: 2013
Question
Which of the following numbers is the fourth power of a natural number?
Choices
Choice (4)  Response  

a.  6765209  
b. 
6765201  
c.  6765206  
d.  6765207 
Question number: 10
» 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. 