KVPY StreamSA (Class 11) Math: Questions 80  84 of 265
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Question number: 80
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
On each face of a cuboid, the sum of its perimeter and its area is written. Among the six numbers so written, there are three distinct numbers and they are 16, 24 and 31. The volume of the cuboid lies between.
Choices
Choice (4)  Response  

a.  21 and 28 

b.  28 and 35 

c.  7 and 14 

d.  14 and 21 

Question number: 81
» Sets, Relations and Functions » Union, Intersection and Complement of Sets
Appeared in Year: 2012
Question
Let S = {1, 2, 3 … 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A?
Choices
Choice (4)  Response  

a.  20 

b.  13 

c.  10 

d.  17 

Question number: 82
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2014
Question
The number of 6digit numbers of the form ababab (in base 10) each of which is a product of exactly 6 distinct primes is
Choices
Choice (4)  Response  

a.  15 

b.  10 

c.  13 

d.  8 

Question number: 83
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2010
Write in Short
In a triangle ABC, D and E are points on AB, AC respectively such that DE is parallel to BC. Suppose BE, CD intersect at O. If the areas of the triangles ADE and ODE are 3 and 1 respectively, find the area of the triangle ABC, with justification,
Question number: 84
» Basic Mathematics » Geometry » Circle and Properties
Appeared in Year: 2012
Question
Suppose Q is a point on the circle with centre P and radius 1, as shown in the figure; R is a point outside the circle such that QR = 1 and ∠QRP = 2? . Let S be the point where the segment RP intersects the given circle. Then measure of ∠RQS equals.
Choices
Choice (4)  Response  

a.  89 

b.  87 

c.  88 

d.  86 
