Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 94  98 of 112
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Question number: 94
» Mathematics » Statistics
Question
For the data 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, …, 9, 9, the product of mean and mode equals to
Choices
Choice (4)  Response  

a.  9 

b.  285 

c.  57 

d.  45 

Question number: 95
» Mathematics » Number Systems
Question
If the sum of three consecutive odd numbers is a perfect square between 200 and 400, then the root of this sum is
Choices
Choice (4)  Response  

a.  16 

b.  15 

c.  18 

d.  19 

Question number: 96
» Mathematics » Number Systems
Question
If aabb is a fourdigit number and also a perfect square, then the value of a + b is
Choices
Choice (4)  Response  

a.  9 

b.  10 

c.  12 

d.  11 

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. 

