MathematicsBasic Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 35  38 of 41
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Question number: 35
» Mathematics » Basic Geometry
Question
If AD, BE and CF are the medians of a ∆ABC, then the current relation between the sum of the squares of sides to the sum of the squares of median is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 36
» 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: 37
» Mathematics » Basic Geometry
Question
In the given figure, PQRS is a square and ∠ABC = 90°. If AQ = BR = SC, then consider the following statements.
I. QB = RC II. AB = BC
III. ∠BAC = 45° IV. AC = PS
Choices
Choice (4)  Response  

a.  III, II and IV are correct 

b.  I, II and III are correct 

c.  I and IV are correct 

d.  All a. , b. and c. are correct 

Question number: 38
» Mathematics » Basic Geometry
Question
The volume of the largest right circular cone that can be cut out of a cube whose edge is 9 cm is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 
