KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 34  38 of 172
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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 

Question number: 35
» Permutations and Combinations » Simple Applications
Appeared in Year: 2010
Question
The number of rectangles that can be obtained by joining four of the twelve vertices of a 12sided regular polygon is –
Choices
Choice (4)  Response  

a.  66 

b.  15 

c.  24 

d.  30 

Question number: 36
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2011
Question
In triangle ABC, we are given that and . Then the measure of the angle C is –
Choices
Choice (4)  Response  

a.  60^{0} 

b.  150^{0} 

c.  75^{0} 

d.  30^{0} 

Question number: 37
» Matrices and Determinants » Solution of Simultaneous Linear Equations in Two or Three Variables
Appeared in Year: 2010
Question
Let A denote the matrix , where , and let I denote the identity matrix . Then is –
Choices
Choice (4)  Response  

a.  f has local minima at x = c, a and a local maximum at x = b 

b.  f has local minima at x = a, b and a local maximum at x = c 

c.  f has local minima at x = b, c and a local maximum at x = a 

d.  All of the above 

Question number: 38
» Trigonometry » Trigonometric Functions
Appeared in Year: 2010
Question
The product equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

