KVPY StreamSA (Class 11) Math: Questions 70  74 of 265
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Question number: 70
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2014
Question
The houses on one side of a road are numbered using consecutive even numbers. The sum of the numbers of all the houses in that row is 170. If there are at least 6 houses in that row and a is the number of the sixth house.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 71
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Let ABCD be a square and let P be point on segment CD such that DP: PC = 1: 2. Let Q be a point on segment AP such that ∠BQP = 90°. Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 72
» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients
Question
Let p be a root of the equation. The value of is equal to
Choices
Choice (4)  Response  

a.  5 

b.  6 

c.  5 

d.  6 

Question number: 73
» Sequence and Series » N Terms of Special Series (Squares & Cubes)
Appeared in Year: 2014
Question
The sum of all positive integers n for which
Is also an integer is
Choices
Choice (4)  Response  

a.  9 

b.  Infinite 

c.  8 

d.  15 

Question number: 74
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
A semicircle of diameter 1 unit sits at the top of a semicircle of diameter 2 units. The shaded region inside the smaller semicircle but outside the larger semicircle is called a lune. The area of the lune is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

