Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 60  66 of 224
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Question number: 60
» Mathematics » Trigonometry
Question
If and , then is equal to
Choices
Choice (4)  Response  

a.  1 

b.  2 

c.  2 

d.  1 

Question number: 61
» 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 

Question number: 62
» Mathematics » Percentage
Question
140 L of a liquid contains 90 % of acid and the rest water. How much water must be added to make the water 12.5 % of the resulting mixture?
Choices
Choice (4)  Response  

a.  10L 

b.  4L 

c.  12L 

d.  3.5L 

Question number: 63
» Mathematics » Basic Geometry
Question
With the vertices of a as center three circles are described, each touching the other two circles externally. If the sides of the triangle are 9 cm, 7 cm and 6 cm. Then, the radiuses of the circles are
Choices
Choice (4)  Response  

a.  4, 5, 2 

b.  4, 5, 6 

c.  3, 2, 3 

d.  All of the above 

Question number: 64
» Mathematics » Quadratic Equations
Question
If the roots of x ^{2} Ix + m = 0 differ by 1, then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 65
» Mathematics » Basic Geometry
Question
If q is the mean proportional between p and r, then is equal to
Choices
Choice (4)  Response  

a.  p ^{2} q ^{3} 

b.  q ^{4} 

c.  q ^{3} 

d.  p ^{2} r ^{2} q ^{4} 

Question number: 66
» Mathematics » Basic Geometry
Question
The ratio between the numbers of sides of two polygons is 2: 1 and the ratio between their interior angles is 4: 3. The numbers of sides of these polygons are, respectively
Choices
Choice (4)  Response  

a.  8, 4 

b.  10, 5 

c.  12, 6 

d.  14, 7 
