KVPY StreamSA (Class 11) Math: Questions 42  47 of 265
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Question number: 42
» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System
Question
If x, y are natural numbers such that , then the minimum possible value of xy is,
Choices
Choice (4)  Response  

a.  750 

b.  671 

c.  800 

d.  816 

Question number: 43
» Basic Mathematics » Arithmetic » Rates
Appeared in Year: 2012
Question
When a bucket is half full, the weight of the bucket and the water is 10 kg. When the bucket is two  thirds full, the total weight is 11kg. What is the total weight, in kg, when the bucket is completely full.
Choices
Choice (4)  Response  

a. 


b.  13 

c.  12 

d. 


Question number: 44
» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System
Appeared in Year: 2013
Question
In an acuteangled triangle ABC, the altitudes from A, B, C when extended intersect the circle again at points A_{1}, B_{1}, C_{1}, respectively. If ∠ABC = 45° then ∠A_{1}B_{1}C_{1} equals.
Choices
Choice (4)  Response  

a.  135° 

b.  45° 

c.  60° 

d.  90° 

Question number: 45
» Permutations and Combinations » Combination as Selection
Appeared in Year: 2014
Question
Let x and y be two 2digit numbers such that y is obtained by reversing the digits of x. Suppose they also satisfy for some positive integer m. The value of is
Choices
Choice (4)  Response  

a.  112 

b.  144 

c.  154 

d.  88 

Question number: 46
» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients
Appeared in Year: 2012
Question
Let be a quadratic polynomial with and . Then the coefficient of in is
Choices
Choice (4)  Response  

a.  1 

b.  4 

c.  2 

d.  3 

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 
