Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 167  172 of 218
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Question number: 167
» Mathematics » Trigonometry
Question
The angles of elevations of the top of the tower from two points in the same straight line and at a distance of 9 m and 16 m from the base of the tower are complementary. The height of the tower is
Choices
Choice (4)  Response  

a.  18 m 

b.  10m 

c.  16m 

d.  12m 

Question number: 168
» Mathematics » Simple Interest and Compound Interest
Question
The compound interest on a certain sum for two years is Rs. 618 whereas the simple interest on the same sum at the same rate for two years is Rs. 600. The ratio of interest per annum is
Choices
Choice (4)  Response  

a.  18% 

b.  9% 

c.  3% 

d.  6% 

Question number: 169
» Mathematics » Mensuration
Question
If P (4, k) be any point on the line and the vertical segment PQ is rotated about yaxis, then the volume of the resulting cylinder is
Choices
Choice (4)  Response  

a.  32 π 

b.  16 π 

c.  8 π 

d.  32/3 π 

Question number: 170
» Mathematics » Exponents
Question
If , then is equal to
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 171
» Mathematics » Basic Geometry
Question
E and F are respectively the midpoints of the sides AB and AC of ∆ABC and the area of the quadrilateral BEFC is k times the area of ∆ ABC. The value of k is
Choices
Choice (4)  Response  

a.  4 

b.  3 

c. 


d. 


Question number: 172
» Mathematics » Linear Equation
Question
If are the linear equations in x and y, then the value of x and y are respectively.
Choices
Choice (4)  Response  

a.  4, 3 

b.  5, 3 

c.  3, 4 

d.  3, 7 
