Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 97  101 of 112
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Question number: 97
» Mathematics » Mensuration
Question
AD is a diameter of a circle. Two more circles pass through A and intersect AD in B and C respectively, such that AB and AC are diameters of these circles and AD > AC > AB. If the circumference of the middle circle is average of the circumference of the other two, then given AB = 4 units and CD = 2 units, what is the area, (in sq units) of the largest circle?
Choices
Choice (4)  Response  

a.  64 π 

b.  16 π 

c.  48 π 

d.  128 π 

Question number: 98
» Mathematics » Trigonometry
Question
Three circles each of radius r units are drawn inside an equilateral triangle of side a units, such that each circle touches the other two and two sides of the triangle as shown in the figure, (P, Q and R are the Centers of the three circles). Then, relation between r and a is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 99
» Mathematics » Quadratic Equations
Question
What is the remainder when is divided by?
Choices
Choice (4)  Response  

a.  9 

b. 


c.  49 

d.  48 

Question number: 100
» Mathematics » Linear Equation
Question
If
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 101
» Mathematics » Mensuration
Question
If the length and breadth of a rectangular plot are increased by and respectively, then the new area is how many times the original area?
Choices
Choice (4)  Response  

a.  10 

b. 


c. 


d. 

