Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 17  22 of 57
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Question number: 17
» 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: 18
» Basic Mathematics » Geometry » Circle and Properties
Appeared in Year: 2012
Question
Suppose two perpendicular tangents can be drawn from the origin to the circle for some real p. Then is equal to –
Choices
Choice (4)  Response  

a.  17 

b.  5 

c.  3 

d.  0 

Question number: 19
» 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: 20
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2012
Question
The maximum value M of, as x varies over real, satisfies –
Choices
Choice (4)  Response  

a. 


b.  9 < M < 25 

c. 


d. 


Question number: 21
» 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. 


Question number: 22
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2012
Question
The number of ordered pairs (m, n), where such that 6^{m} + 9^{n} is a multiple of 5 is –
Choices
Choice (4)  Response  

a.  500 

b.  2500 

c.  1250 

d.  625 
