MathematicsBasic Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 30  34 of 41
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Question number: 30
» 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} 

Question number: 31
» Mathematics » Basic Geometry
Question
In the figure, PQ is a chord of a circle with center O and PT is the tangent at P such that ∠ QPT = 70°. Then, the measure of ∠ PRQ is equal to
Choices
Choice (4)  Response  

a.  150° 

b.  120° 

c.  110° 

d.  135° 

Question number: 32
» Mathematics » Basic Geometry
Question
AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, the radius of the circle is
Choices
Choice (4)  Response  

a.  15 cm 

b.  12 cm 

c.  10 cm 

d.  14 cm 

Question number: 33
» Mathematics » Basic Geometry
Question
E and F are respectively the midpoints of the sides AB and AC of ∆ABC and the area of the quadrilateral BEFC is k times the area of ∆ ABC. The value of k is
Choices
Choice (4)  Response  

a.  4 

b.  3 

c. 


d. 


Question number: 34
» Mathematics » Basic Geometry
Question
The encircle of a ∆ABC touches the sides AB, BC and AC at the point P, Q and R respectively, then which of the following statements is/are correct?
I. AP + BQ + CR = PB + QC + RA
II. AP + BQ + CR = 0.5 (perimeter of ∆ABC)
III. AP + BQ + CR = 3 (AB + BC + CA)
Choices
Choice (4)  Response  

a.  I, II and III 

b.  Only I 

c.  II and III 

d.  I and II 
