MathematicsMensuration (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 1  5 of 8
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Question number: 1
» Mathematics » Mensuration
Question
A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a cone of base diameter 8 cm. The height of the cone is
Choices
Choice (4)  Response  

a.  12 cm 

b.  11 cm 

c.  16 cm 

d.  14 cm 

Question number: 2
» Mathematics » Mensuration
Question
The four corners are quadrants of circle and at the center there is a circle. The area of shaded region in the given figure is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Mathematics » Mensuration
Question
If a is an integer such that , then the value of is
Choices
Choice (4)  Response  

a.  4 

b. 


c. 


d.   9 4 

Question number: 4
» Mathematics » Mensuration
Question
A vessel is in the form of an inverted cone. Its height is 8 cm and radius of its top which is open is 5 cm. It is filled with water up to the rim. When lead shots each of which is a sphere of radius 0.5 cm, are dropped into the vessel, onefourth of water flows out. The number of lead shots dropped into the vessel.
Choices
Choice (4)  Response  

a.  85 

b.  50 

c.  100 

d.  75 

Question number: 5
» Mathematics » Mensuration
Question
Pressure varies inversely as volume varies and temperature varies directly as volume varies. At a time volume = 50 m ^{3}, temperature = 25 K and pressure = 1 atm. If volume is increased to 200m ^{3}, then the temperature will be
Choices
Choice (4)  Response  

a.  100 K 

b.  80 K 

c.  400 K 

d.  20 K 
