KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 31  34 of 172
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Question number: 31
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB. Suppose and the area of triangle BKN is 6. The area of the triangle ABC is –
Choices
Choice (4)  Response  

a.  54 

b.  108 

c.  48 

d.  Question does not provide sufficient data or is vague 

Question number: 32
» Trigonometry » Trigonometric Functions
Appeared in Year: 2011
Question
Let and Then T,
Choices
Choice (4)  Response  

a.  Is independent of A, B, C, D, E 

b.  Depends on A, B, C, D, E 

c.  Depend on B, D but independent of A, C, E 

d.  Depends on A, C, E but independent of B and D 

Question number: 33
» Integral Calculus » Evaluation of Definite Integrals
Appeared in Year: 2010
Question
Let , where n is nonnegative integer. Then is equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 34
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2011
Question
Let [x] denote the largest integer not exceeding x and . Then is equal to –
Choices
Choice (4)  Response  

a.  2012x 

b.  0 

c.  2012 

d.  1006 
