NSTSE (National Science Talent Search Exam Unified Council) Class 10: Questions 491  497 of 1484
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Question number: 491
» Mathematics » Surface Area and Volumes
Question
From a circle of radius 18 cm a sector with angle is cut out and its bounding radii are bent so as to form a cone. Then its volume is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 492
» Mathematics » Arithmetic Progressions
Question
A circle with area is contained in the interior of a larger circle with area . If the radius of the larger circle is 9 and are in AP, then the radius of the smaller circle is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  1  
d. 

Question number: 493
Question
If then
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 
Question number: 494
» Mathematics » Surface Area and Volumes
Question
Liquid is full in a hemisphere of inner diameter 12 cm. This is to be poured into cylindrical bottles of diameter 8 cm and height 3 cm. The number of bottles required are ________.
Choices
Choice (4)  Response  

a.  3  
b.  9  
c.  12  
d.  6 
Question number: 495
» Mathematics » Coordinate Geometry
Question
One end of a diameter of a circle is and the center is . The coordinates of the other end is ________.
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Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 
Question number: 496
Question
Simplify:
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  1  
d. 

Question number: 497
Question
If P (x) = , Q (x) = and their HCF is then LCM of P (x) and Q (x) is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 