KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 24  28 of 265
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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. 


Question number: 25
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2011
Question
Two friends A and B are 30 km apart and they start simultaneously on motorcycles to meet each other. The speed of A is 3 times that of B. The distance between them decreases at the rate of 2 km per minute. Ten minutes after they start, A’s vehicle breaks down and A stops and waits for B to arrive. After how much time (in minutes) A started riding, does B meet A?
Choices
Choice (4)  Response  

a.  20 

b.  30 

c.  25 

d.  15 

Question number: 26
» Coordinate Geometry » Equations of Internal and External Bisectors of Angles
Question
PQR be a triangle with ∠ Q = 90 ^{0}. Let PS be the bisector of ∠ P with S on QR. Suppose PR = 5 cm, length of the SR is 2 cm, and the area of the triangle PQS is 10 cm ^{2}. Then the length of PQ in cm is equal to
Choices
Choice (4)  Response  

a.  10 

b.  7 

c.  15 

d.  5 

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. 

