KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 65  69 of 265
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Question number: 65
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
In triangle ABC, let AD, BE and CF be the internal angle bisectors with D, E and F on the sides BC, CA and AB respectively. Suppose AD, BE and CF concur at I and B, D, I, F are concyclic, then ∠IFD has measure.
Choices
Choice (4)  Response  

a.  any value ≤ 90 

b.  15 

c.  45 

d.  30 

Question number: 66
» Basic Mathematics » Arithmetic » Rates
Appeared in Year: 2010
Question
A closed conical vessel is filled with water fully and is placed with its vertex down. The water is flow out at a constant speed. After 21 minutes, it was found that the height of the water column is half of the original height. How much more time in minutes does it require to empty the vessel?
Choices
Choice (4)  Response  

a.  21 

b.  7 

c.  14 

d.  3 

Question number: 67
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2014
Question
In a quadrilateral ABCD, which is not a trapezium, it is known that ∠DAB = ∠ABC = 60^{0}. Moreover, ∠CAB = ∠CBD. Then
Choices
Choice (4)  Response  

a.  AB = AC + AD 

b.  AB = BC + CD 

c.  AB = AD + CD 

d.  AB = BC + AD 

Question number: 68
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2010
Question
22. If x, y are real numbers such that, then the value of is
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  0 

d.  1 

Question number: 69
» Basic Mathematics » Arithmetic » Ratio and Proportion
Question
In a concert, the charge of pass per person is Rs. 500. On the first day, only 40 % of the passes were sold. The owner decided to reduce the price by 30 % and there was an increase of 60 % in the number of passes sold on the next day. The percentage increase in the revenue on the second day was
Choices
Choice (4)  Response  

a.  13 

b.  12 

c.  10 

d.  11 
