NSTSE (National Science Talent Search Exam Unified Council) Class 10: Questions 409  414 of 1484
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Question number: 409
» Mathematics » Arithmetic Progressions
Question
The measures of the interior angles of a convex polygon are in AP. If the smallest angle is and the largest angle is , then the number of sides of the polygon is
Choices
Choice (4)  Response  

a.  4 

b.  12 

c.  6 

d.  8 

Question number: 410
» Mathematics » Surface Area and Volumes
Question
Ratio of volumes of two cones with same height is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 411
» Mathematics » Quadratic Equations
Question
The equation has
Choices
Choice (4)  Response  

a.  A real root between 20 and 23 

b.  An extraneous root between 10 and 5 

c.  Two extraneous roots 

d.  An extraneous root between 6 and 1 

Question number: 412
» Mathematics » Surface Area and Volumes
Question
A cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 3 cm is dropped in it. After it was completely immersed, the raise in the level of water is ________.
Choices
Choice (4)  Response  

a.  4.21 cm 

b.  2.66 cm 

c.  1.33 cm 

d.  2.28 cm 

Question number: 413
» Mathematics » Surface Area and Volumes
Question
A vessel is in conical shape. If its volume is 16.632 liters and height is 9 cm, the cost of repairing its CSA at Rs. 3/sq m is
Choices
Choice (4)  Response  

a.  6.4 

b.  5.1 

c.  1.7 

d.  3.4 

Question number: 414
» Mathematics » Quadratic Equations
Question
If , then the value of x is
Choices
Choice (4)  Response  

a.  2 or 5 

b.  1 or 5 

c.  0 or 7 

d.  0 or 9 
