MathematicsBasic Geometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 1  6 of 41
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Question number: 1
» Mathematics » Basic Geometry
Question
If the length of a rectangle is increased by 10 % and the area is unchanged, then by how much percent does the breadth decrease?
Choices
Choice (4)  Response  

a.  10 % 

b.  9 % 

c.  100/9 % 

d.  100/11 % 

Question number: 2
» Mathematics » Basic Geometry
Question
The mean proportional between (2 + ) and (8  ) is
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  3: 1 

d.  2: 3 

Question number: 3
» Mathematics » Basic Geometry
Question
A person can run around a circular path of radius 21 m in 44 s. In what time will the same person run a distance of 3 km?
Choices
Choice (4)  Response  

a.  16 min 30s 

b.  18 min 30s 

c.  16 min 40s 

d.  18 min 40s 

Question number: 4
» Mathematics » Basic Geometry
Question
In a circle of radius 17 cm, two parallel chords are drawn on opposite side of a diameter. The distance between the chords is 23 cm. If the length of one chord is 16 cm, then the length of the other is
Choices
Choice (4)  Response  

a.  23 cm 

b.  30 cm 

c.  34 cm 

d.  15 cm 

Question number: 5
» Mathematics » Basic Geometry
Question
The length and the breadth of a rectangular park are in the ratio of 8: 5. A path, 1.5 m wide running all around the outside of the park has an area of 594 m ^{2}. The dimensions of the park are
Choices
Choice (4)  Response  

a.  120 m, 75 m 

b.  110 m, 85 m 

c.  100 m, 95 m 

d.  Question does not provide sufficient data or is vague 

Question number: 6
» Mathematics » Basic Geometry
Question
The length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high is
Choices
Choice (4)  Response  

a.  17 m 

b.  16 m 

c.  15 m 

d.  18 m 
