Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 138  142 of 218
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Question number: 138
» Mathematics » Trigonometry
Question
An aero plane flying at a height of 300 m above the ground phase vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45°, respectively. The height of the lower plane from the ground (in m) is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  150  
d. 

Question number: 139
» 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: 140
» 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: 141
» 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 
Question number: 142
» Mathematics » Trigonometry
Question
ABC is triangle with . From A, a perpendicular AD is drawn on BC. Which one of the following is correct?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 