Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 64  68 of 164
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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 

Question number: 68
» Basic Mathematics » Arithmetic » Rates
Question
Given area three cylindrical buckets X, Y, Z whose circular bases are of radii 1, 2, 3 units, respectively. Initially water is filled in these buckets up to the same height. Some water is then transferred from Z to X so that they both have the same volume of water. Some water is then transferred between X and Y so that they both have the same volume of water. If, denote the heights of water at this stage in the buckets Y, Z respectively, then the ratio equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  1 
