KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 151  155 of 172
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Question number: 151
» Sets, Relations and Functions » Domain, Range
Appeared in Year: 2015
Question
Let ; where, is a real constant. The smallest for which for all is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 152
» Limits & Continuity » Real Valued Functions
Appeared in Year: 2015
Question
Let be a real number. Then the limit
is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 153
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
Let . Then –
Choices
Choice (4)  Response  

a. 


b. 


c.  is a rational number, but not an integer 

d.  is an irrational number 

Question number: 154
» Vector Algebra » Scalar and Vector Products
Appeared in Year: 2015
Question
Let and . Suppose that where is parallel to and is perpendicular to . Then is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 155
» Permutations and Combinations » Combination as Selection
Appeared in Year: 2015
Question
An urn contains marbles of four colors: red, white, blue and green. When four marbles are drawn without replacement, the following events are equally likely:
(1) the selection of four red marbles
(2) the selection of one white and three red marbles
(3) the selection of one white, one blue and two red marbles
(4) the selection of one marble of each color
The smallest total number of marbles satisfying the given condition is –
Choices
Choice (4)  Response  

a.  69 

b.  46 

c.  21 

d.  19 
