KVPY StreamSBSX Math: Questions 121  125 of 155
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Question number: 121
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
Let of a triangle . These angles are satisfy the equations and . Then equals – (Model Paper)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 122
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2014
Question
For a real number we denote by the largest integer less than or equal to . If are real number with , then which of the following statement is always true?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 123
» Differential Equations » Formation of Differential Equations
Appeared in Year: 2013
Question
Let . The number of real roots of is – (Model Paper)
Choices
Choice (4)  Response  

a.  1  
b.  0  
c.  2  
d.  4 
Question number: 124
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
What is the angle subtended by an edge of a regular tetrahedron at its center?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 125
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
Let and let , be circles with radii respectively. Assume that and touch externally for . It is also given that the axis and the line are tangential to each of the circles. Then are in –
Choices
Choice (4)  Response  

a.  An arithmetic progression with common difference  
b.  An arithmetic progression with common difference  
c.  A geometric progression with common ratio  
d.  A geometric progression with common ratio 