Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 103  107 of 218
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Question number: 103
» Mathematics » Trigonometry
Question
If A is the area of a right angled triangle and b is one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 104
» Mathematics » Percentage
Question
At what price must Sarita sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20%?
Choices
Choice (4)  Response  

a.  Rs. 9 per kg  
b.  Rs. 8.20 per kg  
c.  Rs. 8.85 per kg  
d.  Rs. 7.50 per kg 
Question number: 105
» Mathematics » Number Systems
Question
Consider the following statements
I. If x and y are composite integers, so also is x + y.
II. If x and y are composite integers and x > y, then x  y is also a composite integer.
III. If x and y are composite integers, so also in xy. Of the above, the correct statement (s) is/are
Choices
Choice (4)  Response  

a.  I and II  
b.  Only III  
c.  All the three  
d.  Question does not provide sufficient data or is vague 
Question number: 106
» Mathematics » Trigonometry
Question
If and , then is equal to
Choices
Choice (4)  Response  

a.  1  
b.  2  
c.  2  
d.  1 
Question number: 107
» Mathematics » Arithmetic
Question
Two pipes A and B can separately fill a tank in 12 min and 15 min, respectively. Both the pipes are opened together but 4 min after pipe A is turned off. How much time does pipe B will take to fill the tank?
Choices
Choice (4)  Response  

a.  6 min  
b.  11 min  
c.  12 min  
d.  8 min 