Basic Mathematics (KVPY StreamSA (Class 11) Math): Questions 58  63 of 164
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Question number: 58
» Basic Mathematics » Geometry » Quadrilateral and Properties
Question
Let ABCD be a square of side length 1. Let P, Q, R, S be points in the interiors of the sides AD, BC, AB, CD, respectively, such that PQ and RS intersect at right angles. If then RS equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 59
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Question
In the figure given below, if the areas of the two regions are equal then which of the following is true?
Choices
Choice (4)  Response  

a.  x = y 

b.  x = 3y 

c.  x = 2y 

d.  2x = y 

Question number: 60
» Basic Mathematics » Arithmetic » Absolute Value
Question
The least positive integer n from which is.
Choices
Choice (4)  Response  

a.  9 

b.  7 

c.  6 

d.  8 

Question number: 61
» Basic Mathematics » Arithmetic » Solving Expressions
Question
Let p, q, r, s be real numbers such thatp – q= 4,  q – r= 6,  r – s= 8. Then the sum of all possible values ofs – pis –
Choices
Choice (4)  Response  

a.  36 

b.  24 

c.  9 

d.  18 

Question number: 62
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
A square ABCD is inscribed in a circle of radius 3. Two tangents to a circle at points A and B on the circle intersect at a point E. If AE = 4 then find the length of the sides of square.
Choices
Choice (4)  Response  

a.  24 

b.  12 

c. 


d. 


Question number: 63
» Basic Mathematics » Geometry » Triangle and Properties
Question
Let P be an interior point of a triangle ABC. Let Q and R be the reflections of P in AB and AC, respectively. If Q, A, R are collinear then ∠A equals 
Choices
Choice (4)  Response  

a.  90^{0} 

b.  60^{0} 

c.  30^{0} 

d.  120^{0} 
