Basic Mathematics (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 29  32 of 57
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Question number: 29
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
The number of integer with and containing at most two distinct digits is – (Model Paper)
Choices
Choice (4)  Response  

a.  324 

b.  252 

c.  280 

d.  360 

Question number: 30
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Appeared in Year: 2013
Question
Let be a closed polygon with sides and vertices (assume that the sides do not intersect except at the vertices). Let be the number of interior angles of P that are greater than . The maximum possible value of is – (Model Paper)
Choices
Choice (4)  Response  

a.  9 

b.  3 

c.  7 

d.  5 

Question number: 31
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Let be a non – constant polynomial with real coefficients such that and for all real . Which of the following statements is NOT necessarily true? (Model Paper)
Choices
Choice (4)  Response  

a.  The coefficient of the highest degree term in is negative 

b.  has at least two real roots 

c.  If then 

d.  At least one of the coefficients of is bigger than . 

Question number: 32
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
Let be the circle in the XY – plane. For each , let be the line passing through and . Note that intersects C in two points, one of which is . Let be the other point. As varies between and , the collection of points sweeps out an arc on C. The angle subtended by this are at is:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

