NSTSE (National Science Talent Search Exam Unified Council) Class 10: Questions 468  473 of 1484
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Question number: 468
» Mathematics » Arithmetic Progressions
Question
In a geometric sequence of real numbers, the sum of the first two terms is 14 and the sum of the first six terms is 182. The sum of the first four terms is
Choices
Choice (4)  Response  

a.  32  
b.  28  
c.  68  
d.  56 
Question number: 469
» Mathematics » Quadratic Equations
Question
The solution of is
Choices
Choice (4)  Response  

a. 
 
b.  or  
c. 
 
d.  None of the above 
Question number: 470
» Mathematics » Arithmetic Progressions
Question
If the first term of an infinite geometric series is a positive integer, the common ratio is the reciprocal of positive integer and the sum of the series is 6, then the sum of the first two terms of the series is ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  3  
d. 

Question number: 471
» Mathematics » Surface Area and Volumes
Question
A cuboidal metal of dimensions was melted and cast into a cylinder of height 28 cm. Its radius is ________.
Choices
Choice (4)  Response  

a.  44 cm  
b.  15 cm  
c.  30 cm  
d.  All of the above 
Question number: 472
» Mathematics » Surface Area and Volumes
Question
The cost of painting the TSA of cone at is Rs. 17.60. The volume of the cone its slant height being 25 cm is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 473
» Mathematics » Arithmetic Progressions
Question
The three sides of a right triangles have integral lengths which form an AP. One of the sides could have length
Choices
Choice (4)  Response  

a.  58  
b.  22  
c.  31  
d.  25 