KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 12  15 of 172
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Question number: 12
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2011
Question
Two players play the following game: A writes 3, 5, 6 on three different cards; B writes 8, 9, 10 on three different cards. Both draw randomly two cards from their collections. Then A computes the product of two numbers he/she has drawn, and B computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 13
» Sets, Relations and Functions » Union, Intersection and Complement of Sets
Appeared in Year: 2011
Question
Let X be a nonempty set and let P (X) denote the collection of all subsets of X. Define
Then equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 14
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2010
Question
Let be a continuous function satisfying, for all. Then the number of elements in set is –
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  4 

d.  3 

Question number: 15
» Coordinate Geometry » Section Formula
Appeared in Year: 2010
Question
The following figure shows the graph of a continuous function y = f (x) on the interval [1, 3]. The points A, B, C have coordinates (1, 1), (3, 2), (2, 3) respectively, and the lines L_{1} and L_{2} are parallel, with L_{1} being tangent to the curve at C. If the area under the graph of y = f (x) from x = 1 to x = 3 is 4 square units, then the area of the shaded region is
Choices
Choice (4)  Response  

a.  4 

b.  3 

c.  5 

d.  2 
