KVPY StreamSA (Class 11) Math: Questions 39  41 of 265
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Question number: 39
» Basic Mathematics » Arithmetic » Rates
Appeared in Year: 2012
Question
Two workers A and B are engaged to do a piece of work. Working alone, A takes 8 hours more to complete the work than if both worked together. On the other hand, working alone, B would need hours more to complete the work than if both worked together. How much time would they take to complete the job working together?
Choices
Choice (4)  Response  

a.  6 Hours 

b.  4 Hours 

c.  7 Hours 

d.  5 Hours 

Question number: 40
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
On the circle with center O, points A, B are such that OA = AB. A point C is located on the tangent at B to the circle such that A and C are on the opposite sides of the line OB and AB = BC. The line segment AC intersects the circle again at F. Then the ratio ∠BOF: ∠BOC is equal to:
The line segment AC intersects the circle again at F.
Choices
Choice (4)  Response  

a.  1: 2 

b.  4: 5 

c.  2: 3 

d.  3: 4 

Question number: 41
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Question
Let p, q, r be nonzero real numbers such that and , then is equal to,
Choices
Choice (4)  Response  

a.  553 

b.  550 

c.  640 

d.  654 
