KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 44  48 of 172
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 150.00 or
Question number: 44
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2012
Question
In the real number system, the equation has –
Choices
Choice (4)  Response  

a.  No solution 

b.  Exactly two distinct solutions 

c.  Infinitely many solutions 

d.  Exactly four distinct solutions 

Question number: 45
» Statistics and Probability » Probability of an Event
Appeared in Year: 2012
Question
Let denote the sum of the first n positive integers. The numbers S_{1}, S_{2}, S_{3}, …, S_{99} are written on 99 cards. The probability of drawing a card with an even number written on it is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 46
» Integral Calculus » Integration Using Trigonometric Identities
Appeared in Year: 2012
Question
The value of the integral, where is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 47
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2012
Question
Let n be a natural number and let ‘a’ be a real number. The number of zeros of in the interval [1, 1] is
Choices
Choice (4)  Response  

a.  2 if a < 0 

b.  At least three for every value of a 

c.  2 if a > 0 

d.  At most one for every value of a 

Question number: 48
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
Question
Let a, b, c, d be numbers in the set {1, 2, 3, 4, 5, 6} such that the curves and have no point in common. The maximum possible value of is
Choices
Choice (4)  Response  

a.  36 

b.  5 

c.  30 

d.  0 
