MathematicsBasic Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 19  24 of 41
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Question number: 19
» Mathematics » Basic Geometry
Question
With the vertices of a as center three circles are described, each touching the other two circles externally. If the sides of the triangle are 9 cm, 7 cm and 6 cm. Then, the radiuses of the circles are
Choices
Choice (4)  Response  

a.  4, 5, 2  
b.  4, 5, 6  
c.  3, 2, 3  
d.  All of the above 
Question number: 20
» Mathematics » Basic Geometry
Question
If q is the mean proportional between p and r, then is equal to
Choices
Choice (4)  Response  

a.  p ^{2} q ^{3}  
b.  q ^{4}  
c.  q ^{3}  
d.  p ^{2} r ^{2} q ^{4} 
Question number: 21
» Mathematics » Basic Geometry
Question
The ratio between the numbers of sides of two polygons is 2: 1 and the ratio between their interior angles is 4: 3. The numbers of sides of these polygons are, respectively
Choices
Choice (4)  Response  

a.  8, 4  
b.  10, 5  
c.  12, 6  
d.  14, 7 
Question number: 22
» Mathematics » Basic Geometry
Question
Four angles of a 8sided figure are each 154°. If the remaining four angles are equal, then the measure of each angle is
Choices
Choice (4)  Response  

a.  116°  
b.  100°  
c.  110°  
d.  All of the above 
Question number: 23
» Mathematics » Basic Geometry
Question
ABCD is a square of side a, ABO is an equilateral triangle and OL is perpendicular to CD. Then area of the trapezium AOLD is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 24
» Mathematics » Basic Geometry
Question
In figure , if and , then find the value of x.
Choices
Choice (4)  Response  

a.  36°  
b.  96°  
c.  48°  
d.  Question does not provide sufficient data or is vague 