Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 63  67 of 164
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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} 

Question number: 64
» Basic Mathematics » Arithmetic » Solving Expressions
Question
If α, β, γ and θ are positive real numbers such that,
, then find the value of,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 65
» Basic Mathematics » Geometry » Quadrilateral and Properties
Question
The area of a rectangular PQRS is 36. Points M and N are on the side RS, such that PM = QN = 5. Find the length of MN. (Lengths of sides of the rectangular are integer)
Choices
Choice (4)  Response  

a.  5 

b.  3 

c.  4 

d.  2 

Question number: 66
» Basic Mathematics » Geometry » Circle and Properties
Question
Suppose P is a point on the circle with centre O and radius 2; R is a point outside the circle such that in triangle PRO, ∠POR = 4^{0}. Let S be the point where the segment PS intersects the given circle. If PS = SR, then measure of ∠SRP equals,
Choices
Choice (4)  Response  

a.  46^{0} 

b.  88^{0} 

c.  44^{0} 

d.  48^{0} 

Question number: 67
» Basic Mathematics » Arithmetic » Ratio and Proportion
Question
A man standing on a railway platform noticed that a train took 21 seconds to cross the platform (this means the time elapsed from the moment the engine enters the platform till the last compartment leaves the platform) which is 88 meters long, and that it took 9 seconds to pass him. Assuming that the train was moving with uniform speed, what is the length of the train in meters?
Choices
Choice (4)  Response  

a.  60 

b.  66 

c.  55 

d.  72 
