Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 165  171 of 224
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Question number: 165
» Mathematics » Trigonometry
Question
The perimeter of an equilateral triangle whose area is is
Choices
Choice (4)  Response  

a.  8 cm 

b.  3 cm 

c.  4 cm 

d.  12 cm 

Question number: 166
» Mathematics » Coordinate Geometry
Question
The coordinate of the point which divide the line segment joining and internally in ratio is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 167
» Mathematics » Quadratic Equations
Question
A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 168
» Mathematics » Probability
Question
A coin is tossed 5 times. What is the probability of getting number of heads more than the number of tails?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 169
» Mathematics » Basic Geometry
Question
If the length of a rectangle is increased by and the area is unchanged, then by how much percent does the breadth decrease?
Choices
Choice (4)  Response  

a.  % 

b. 


c.  % 

d. 


Question number: 170
» Mathematics » Mensuration
Question
A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a cone of base diameter 8 cm. The height of the cone is
Choices
Choice (4)  Response  

a.  16 cm 

b.  11 cm 

c.  12 cm 

d.  14 cm 

Question number: 171
» Mathematics » Trigonometry
Question
An aero plane flying at a height of 300 m above the ground phase vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are and , respectively. The height of the lower plane from the ground (in m) is
Choices
Choice (4)  Response  

a.  150 

b. 


c.  50 

d. 

