KVPY StreamSA (Class 11) Math: Questions 21  24 of 251
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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 
Question number: 24
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Appeared in Year: 2011
Question
If , then is,
Choices
Choice (4)  Response  

a.  a 3 + a 2 + 3 a  16  b  
b. 
 
c.  a 3  a 2 + 3 a  6  b  
d. 
