NSTSE (National Science Talent Search Exam Unified Council) Class 10: Questions 553  560 of 1484
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Question number: 553
Question
For the expression , if and . Find the value of a, b and c
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 554
» Mathematics » Arithmetic Progressions
Question
The sum of 20 terms of is
Choices
Choice (4)  Response  

a.  420. log3  
b.  log210  
c.  210. log3  
d.  log20 
Question number: 555
Question
Find the value of ‘k’ if the expression p (x) = and q (x) = leave the same remainder when divided by .
Choices
Choice (4)  Response  

a.   1  
b.   2  
c.  3  
d.  2 
Question number: 556
» Mathematics » Surface Area and Volumes
Question
A cone of radius 20 cm is divided into two parts by drawing a plane through the midpoints of its axis, parallel to its base. The ratio of volumes of the two parts formed is ________.
Choices
Choice (4)  Response  

a.  6: 1  
b.  1: 7  
c.  1: 14  
d.  9: 1 
Question number: 557
Question
If and then = ________.
Choices
Choice (4)  Response  

a. 
 
b.  2p  
c.  2  
d.  All of the above 
Question number: 558
» Mathematics » Quadratic Equations
Question
The difference of the roots of is
Choices
Choice (4)  Response  

a.  23  
b. 
 
c.   3  
d.  None of the above 
Question number: 559
» Mathematics » Coordinate Geometry
Question
and are three vertices of the parallelogram ABCD. The coordinates of the fourth vertex is ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 560
» Mathematics » Arithmetic Progressions
Question
If the sum of the first 15 terms and the sum of the first 150 terms of a given AP are 150 and 15 respectively, then the sum of the first 155 terms is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  155  
d.  87 