Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 27  31 of 57
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 150.00 or
Question number: 27
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2014
Question
The under of integers for which has three real roots is –
Choices
Choice (4)  Response  

a. 


b.  55 

c.  1 

d.  25 

Question number: 28
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2014
Question
For each positive integer , let . Then the number of elements is for which is:
Choices
Choice (4)  Response  

a.  9 

b.  11 

c.  12 

d.  10 

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 . 
