KVPY StreamSA (Class 11) Math: Questions 34  38 of 265
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Question number: 34
» Limits & Continuity » Polynomials
Appeared in Year: 2014
Question
The number of integers a in the interval [1, 2014] for which the system of equations,
has finitely many solutions is
Choices
Choice (4)  Response  

a.  2014 

b.  2013 

c.  1007 

d.  0 

Question number: 35
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Appeared in Year: 2013
Question
Let x, y, z be nonzero real numbers such that and , then is equal to
Choices
Choice (4)  Response  

a.  153 

b.  154 

c.  152 

d.  155 

Question number: 36
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2014
Question
The population of cattle in a farm increases so that the difference between the population in year n + 2 and that in year n is proportional to the population in year n + 1. If the populations in years 2010, 2011 and 2013 were 39, 60 and 123, respectively, then the population in 2012 was
Choices
Choice (4)  Response  

a.  90 

b.  84 

c.  81 

d.  87 

Question number: 37
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2012
Question
In a triangle ABC, it is known that AB = AC. Suppose D is the midpoint of AC and BD = BC = 2. Then the area of the triangle ABC, is.
Choices
Choice (4)  Response  

a. 


b. 


c.  2 

d. 


Question number: 38
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2010
Question
The sides of a triangle ABC are positive integers. The smallest side has length 1. Which of the following statement is true?
Choices
Choice (4)  Response  

a.  The area of ABC is always an irrational number 

b.  The area of ABC is always a rational number 

c.  The information provided is not sufficient to conclude any of the statements A, B or C above 

d.  The perimeter of ABC is an even integer 
