KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 75  79 of 265
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Question number: 75
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
In a triangle ABC with ∠A < ∠B < ∠C, points D, E, F are on the interior of segments BC, CA, AB, respectively. Which of the following triangles CANNOT be similar to triangle ABC?
Choices
Choice (4)  Response  

a.  Triangle ABD 

b.  Triangle BCE 

c.  Triangle CAF 

d.  Triangle DEF 

Question number: 76
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2014
Question
The angle bisectors BD and CE of a triangle ABC are divided by the in centre I in the ratios 3: 2 and 2: 1 respectively. Then the ratio in which I divide the angle bisector through A is
Choices
Choice (4)  Response  

a.  11: 4 

b.  6: 5 

c.  7: 4 

d.  3: 1 

Question number: 77
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
Consider a square ABCD of side 12 and let M, N be the midpoints of AB, CD respectively. Take a point P on MN and let AP = r, PC = s. Then the area of the triangle whose sides are r, s, 12 is
Choices
Choice (4)  Response  

a.  36 

b.  72 

c. 


d. 


Question number: 78
» Basic Mathematics » Arithmetic » Clocks
Appeared in Year: 2012
Question
Observe that, at any instant, the minute and hour hands of a clock make two angles them whose sum is 360? . At 6: 15 the difference between these two angles is.
Choices
Choice (4)  Response  

a.  175 

b.  170 

c.  165 

d.  180 

Question number: 79
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2013
Question
There are three kinds of liquids X, Y, Z. Three jars J_{1}, J_{2}, J_{3} contain 100 ml of liquids X, Y, Z respectively. By an operation we mean three steps in the following order:
 stir the liquid in J_{1} and transfer 10 ml from J_{1} into J_{2};
 stir the liquid in J_{2} and transfer 10 ml from J_{2} into J_{3};
 stir the liquid in J_{3} and transfer 10 ml from J_{3} into J_{1};
After performing the operation four times, let x, y, z be the amounts of X, Y, Z, respectively, in J_{1}. Then
Choices
Choice (4)  Response  

a.  Y > X > Z 

b.  X > Y > Z 

c.  Z > X > Y 

d.  X > Z > Y 
