Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 6  9 of 112
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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 

Question number: 7
» 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: 8
» 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: 9
» 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 
