Basic MathematicsArithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 6  10 of 25
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Question number: 6
» 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: 7
» 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: 8
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
Let a, b, c, d be real numbers such that,
For every natural number n. Thena+ b+ c+ dis equal to –
Choices
Choice (4)  Response  

a.  31 

b.  16 

c.  15 

d.  32 

Question number: 9
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2012
Question
Suppose a_{1}, a_{2}, a_{3}, …, a_{2012} are integers arranged on a circle. Each number is equal to the average of its two adjacent numbers. If the sum of all even indexed numbers is 3018, what is the sum of all numbers?
Choices
Choice (4)  Response  

a.  1509 

b.  3018 

c.  6036 

d.  0 

Question number: 10
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2012
Question
Let (x, y) be a variable point on the curve. Then is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

