Basic Mathematics (KVPY StreamSBSX Math): Questions 45  50 of 53
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 155 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: 45
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Appeared in Year: 2015
Question
Suppose is a hexagon such that and . If the vertices A, B, C, D, E, F are concyclic, the radius of the circle passing through them is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 46
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
If , then equals –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 47
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2015
Question
The sides of a right –angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the incircle of such a triangle is –
Choices
Choice (4)  Response  

a.  3  
b.  4  
c.  5  
d.  2 
Question number: 48
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
Suppose are positive integers such that . Then is equal to –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 49
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
Let be a polynomial such that , where is a positive integer. Then equals –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 50
» Basic Mathematics » Geometry » Circle and Properties
Appeared in Year: 2015
Question
Among all sectors of a fixed perimeter, choose the one with maximum area. Then the angle at the centre of this sector (i. e. , the angle between the bounding radii) is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  2 