KVPY StreamSA (Class 11) Math: Questions 19  23 of 265
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Question number: 19
» Sets, Relations and Functions » Functions and Composition
Question
Let , where P, Q, R are integers. Suppose , , , than values of P, Q and R are respectively,
Choices
Choice (4)  Response  

a.  2, 2 & 4 

b.  3, 3 & 1 

c.  3, 4 & 2 

d.  2, 2 & 3 

Question number: 20
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2011
Question
Let , where a, b, c are integers. Suppose , , , and for some integer t. Then the value of t is
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  2 

d.  5 or more 

Question number: 21
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2011
Question
A man wants to reach a certain destination. Onesixth of the total distance is muddy while half the distance is tar road. For the remaining distance he takes a boat. His speed of traveling in mud, in water, on tar road is in the ratio 3: 4: 5. The ratio of the durations he requires to cross the patch of mud, stream and tar road is
Choices
Choice (4)  Response  

a. 


b.  3: 8: 15 

c.  10: 15: 18 

d.  1: 2: 3 

Question number: 22
» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System
Question
Let p, q, r, s be real numbers such that . Then the sum of all possible values of is,
Choices
Choice (4)  Response  

a.  16 

b.  66 

c.  36 

d.  96 

Question number: 23
» Coordinate Geometry » Conic Sections
Appeared in Year: 2011
Question
The diameter of one of the bases of a truncated cone is 100 mm. If the diameter of this base is increased by 21 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 21%. The radius of the other base (in mm) is
Choices
Choice (4)  Response  

a.  35 

b.  65 

c.  45 

d.  55 
