MathematicsBasic Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 14  18 of 42
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Question number: 14
» Mathematics » Basic Geometry
Question
In the given figure PT touches the circle with center O at R. Diameter SQ when produced meet PT at P. If ⦟SPR = x and ⦟QSR = y, then x + 2y is equal to
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 15
» Mathematics » Basic Geometry
Question
In the given figure and . The values of x, y, z and t are, respectively
Choices
Choice (4)  Response  

a.  60,75,75,60 

b.  60,70,60,70 

c.  50,75,75,65 

d.  60,60,70,70 

Question number: 16
» Mathematics » Basic Geometry
Question
The ratio of an interior angle to the exterior angle of a regular polygon is 5: 1. The number of sides of polygon is
Choices
Choice (4)  Response  

a.  12 

b.  10 

c.  14 

d.  11 

Question number: 17
» Mathematics » Basic Geometry
Question
In the adjoining figure, a smaller circle touches a larger circle internally and passes through the center O of the latter. If the area of the smaller circle is 200 cm ^{2}, the area of the larger circle in cm ^{2 } is
Choices
Choice (4)  Response  

a.  200 

b.  400 

c.  800 

d.  600 

Question number: 18
» Mathematics » Basic Geometry
Question
Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches the two other pieces. The area of the space enclosed by the four pieces is
Choices
Choice (4)  Response  

a.  42 cm ^{2} 

b.  21 cm ^{2} 

c.  168 cm ^{2} 

d.  84cm ^{2} 
