Mathematics [NSTSE (National Science Talent Search Exam Unified Council) Class 9]: Questions 593  599 of 989
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Question number: 593
Question
MCQ▾From a circle of radius 40 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: 594
Question
MCQ▾Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 5 is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 595
Question
MCQ▾A hollow sphere of internal and external diameters 12 cm and 16 cm respectively is melted into a cone of base diameter 14 cm. Find the height of the cone.
Choices
Choice (4)  Response  

a.  48.4 cm  
b.  12.1 cm  
c.  19.5 cm  
d.  24.2 cm 
Question number: 596
Question
MCQ▾Liquid is full in a hemisphere of inner diameter 12 cm. This is to be poured into cylindrical bottles of diameter 6 cm and height 2 cm. The numbers of bottles required are ________.
Choices
Choice (4)  Response  

a.  48  
b.  12  
c.  24  
d.  6 
Question number: 597
Question
MCQ▾The factors of are:
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 598
Question
MCQ▾The radius of a cylinder whose internal surface area is 352 and height 4 cm is
Choices
Choice (4)  Response  

a.  14 cm  
b.  7 cm  
c.  3.5 cm  
d.  28 cm 
Question number: 599
Question
MCQ▾The sum of rational and irrational number is always
Choices
Choice (4)  Response  

a.  Rational  
b.  Irrational  
c.  Question does not provide sufficient data or is vague  
d.  All of the above 