Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 32  37 of 224
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Question number: 32
» Mathematics » Coordinate Geometry
Question
A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm. The uniform thickness of the cylinder is
Choices
Choice (4)  Response  

a.  1.2 cm 

b.  1 cm 

c.  3 cm 

d.  1.5 cm 

Question number: 33
» Mathematics » Rational Numbers
Question
The speed of three cars is in the ratio 4: 3: 2. What is the ratio between the times taken by the cars to cover the same distance?
Choices
Choice (4)  Response  

a.  2: 3: 4 

b.  4: 3: 2 

c.  3: 4: 6 

d.  1: 2: 3 

Question number: 34
» Mathematics » Trigonometry
Question
Two posts are K m apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height (in m) of the shorter post is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  3K 

d.  2K 

Question number: 35
» Mathematics » Simple Interest and Compound Interest
Question
A sum amount to Rs. 9680 in 2 year and to Rs. 10648 in 3 year compounded annually. Then, the sum and rate of interest respectively are
Choices
Choice (4)  Response  

a.  Rs. 8500, 9% 

b.  Rs. 8500, 10% 

c.  Rs. 8000, 10% 

d.  Rs. 8000, 9% 

Question number: 36
» Mathematics » Linear Equation
Question
The sum of two numbers is 15. If the sum of their reciprocals is , then the numbers are
Choices
Choice (4)  Response  

a.  7, 8 

b.  10, 5 

c.  8, 7 

d.  6, 9 

Question number: 37
» Mathematics » Linear Equation
Question
The value of x satisfying the equation is
Choices
Choice (4)  Response  

a.  5 

b.  0, 5 

c.  0, 4 

d.  Question does not provide sufficient data or is vague 
