Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 85  89 of 224
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Question number: 85
» 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: 86
» Mathematics » Statistics
Question
The geometric mean of two numbers is 8 and their harmonic mean is 6.4. The numbers are
Choices
Choice (4)  Response  

a.  4,16 

b.  2,8 

c.  4,8 

d.  Question does not provide sufficient data or is vague 

Question number: 87
» Mathematics » Percentage
Question
An employee is required to contribute 10 % of his pay to general provident fund. If he gets Rs. 13500 as net pay in a month, then what is the monthly general provident fund contribution (assuming no other deductions)?
Choices
Choice (4)  Response  

a.  Rs. 1650 

b.  Rs. 1350 

c.  Rs. 1215 

d.  Rs. 1500 

Question number: 88
» 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 

Question number: 89
» Mathematics » Trigonometry
Question
For what value of k, the vertices (2,1), (3,3) and (5, k) form an equilateral triangle?
Choices
Choice (4)  Response  

a.  No such value exist 

b. 


c.  4 

d.  2 
