Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 6  10 of 57
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Question number: 6
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2010
Question
Suppose m, n are positive integers such that. The value of the expression is –
Choices
Choice (4)  Response  

a.  19 

b.  21 

c.  7 

d.  13 

Question number: 7
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2010
Question
Let I, ω and ω^{2} be the cube roots of unity. The lest possible degree of a polynomial, with real coefficients, having 2 ω^{2}, 3 + 4 ω, 3 + 4 ω^{2} and 5 – ω – ω^{2} as roots is –
Choices
Choice (4)  Response  

a.  8 

b.  5 

c.  6 

d.  4 

Question number: 8
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2011
Question
In a rectangle ABCD, the coordinates of A and B are (1,2) and (3,6) respectively and some diameter of the circumscribing circle of ABCD has equation. Then the area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c.  16 

d.  20 

Question number: 9
» 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: 10
» 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 
