MathematicsBasic Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 24  27 of 42
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Question number: 24
» Mathematics » Basic Geometry
Question
AB and CD are two parallel lines. The points B and C are joined such that ∠ABC = 65°. A line CE is drawn making angle of 35° with the line CB, EF is drawn parallel to AB, as show in figure, then ∠CEF is equal to
Choices
Choice (4)  Response  

a.  145° 

b.  155° 

c.  160° 

d.  150° 

Question number: 25
» Mathematics » Basic Geometry
Question
Let ABCD be a trapezium in which and let E be the midpoint of AD. Let F be a point on BC such that. Then, consider the following statements.
Choices
Choice (4)  Response  

a.  F is the midpoint of BC 

b. 


c.  Both a. and b. are correct 

d.  None of the above 

Question number: 26
» Mathematics » Basic Geometry
Question
S_{1}and S_{2} are two circles on a plane with radius 4 cm and 2 cm, respectively and the distance between their centers is 3 cm. Which one of the following statements is true?
Choices
Choice (4)  Response  

a.  S_{1} andS_{2} touch each other internally 

b.  S_{1}and S_{2}intersect in two distinct points 

c.  S_{2}lies entirely within the circle S_{1} 

d.  S_{1} and S_{2} touch each other externally 

Question number: 27
» Mathematics » Basic Geometry
Question
AOBC is a rectangle whose three vertices are vertices A (0,3), O (0,0) and B (5,0). The length of its diagonal is
Choices
Choice (4)  Response  

a.  4 

b.  5 

c. 


d.  3 
