KVPY StreamSA (Class 11) Math: Questions 47  51 of 265
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Question number: 47
» Complex Numbers and Quadratic Equations » Complex Numbers as Ordered Pairs of Reals
Appeared in Year: 2012
Question
How many ordered pairs of (m, n) integers satisfy?
Choices
Choice (4)  Response  

a.  30 

b.  10 

c.  15 

d.  12 

Question number: 48
» Complex Numbers and Quadratic Equations » Nature of Roots
Appeared in Year: 2013
Question
Let a, b be nonzero real numbers. Which of the following statements about the quadratic equation.
Is necessarily true?
(I) It has at least one negative root
(III) Both roots are negative
(II) Both its roots are real.
(IV) It has at least one positive root.
Select the correct option,
Choices
Choice (4)  Response  

a.  (III) and (IV) are correct 

b.  (I) and (II) are correct 

c.  (I), (II) and (III) are correct 

d.  (I) and (III) are correct 

Question number: 49
» Sets, Relations and Functions » Equivalence Relations
Question
If p, q are real numbers such that, then the value of is,
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  0 

d.  3 

Question number: 50
» Basic Mathematics » Arithmetic » Rates
Appeared in Year: 2010
Question
I carried 1000 kg of watermelon in summer by train. In the beginning, the water content was 99%. By the time I reached the destination, the water content had dropped to 98%. The reduction in the weight of the watermelon was
Choices
Choice (4)  Response  

a.  500 kg 

b.  50 kg 

c.  10 kg 

d.  100 kg 

Question number: 51
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
A regular octagon is formed by cutting congruent isosceles rightangled triangles from the corners of a square. If the square has sidelength 1, the sidelength of the octagon is.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

