KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 27  31 of 265
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Question number: 27
» Coordinate Geometry » Circles
Appeared in Year: 2011
Question
Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is
Choices
Choice (4)  Response  

a. 


b.  4 

c. 


d. 


Question number: 28
» Basic Mathematics » Arithmetic » Clocks
Appeared in Year: 2011
Question
A certain 12hour digital clock displays the hour and the minute of a day. Due to a defect in the clock whenever the digit 1 is supposed to be displayed it displays 7. What fraction of the day will the clock show the correct time?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 29
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2009
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 10 and DC = 3 and the sides AB, BC and AC are integer, the inradius of ABC is
Choices
Choice (4)  Response  

a.  4 

b.  5 

c.  2 

d.  3 

Question number: 30
» Sequence and Series » Arithmetico  Geometric Progression
Appeared in Year: 2012
Question
If a, b, c, d are positive real numbers such that, , then is
Choices
Choice (4)  Response  

a.  1 

b. 


c.  2 

d.  All of the above 

Question number: 31
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2014
Question
Let a, b, c be nonzero real numbers such that a + b + c = 0; let and Then.
Choices
Choice (4)  Response  

a.  always 

b.  always 

c.  can take both positive and negative value 

d.  always 
