Basic MathematicsArithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  6 of 25
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Question number: 1
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2011
Question
Suppose The smallest possible integer value of c for all a, b > 1 is –
Choices
Choice (4)  Response  

a.  2 

b.  3 

c.  1 

d.  4 

Question number: 2
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2011
Question
The value of
is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2011
Question
Two players play the following game: A writes 3, 5, 6 on three different cards; B writes 8, 9, 10 on three different cards. Both draw randomly two cards from their collections. Then A computes the product of two numbers he/she has drawn, and B computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2010
Question
Let be a continuous function satisfying, for all. Then the number of elements in set is –
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  4 

d.  3 

Question number: 5
» 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: 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 
