KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 122  125 of 172
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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 
