NSTSE (National Science Talent Search Exam Unified Council) Class 10: Questions 267  275 of 1484
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Question number: 267
» Mathematics » Arithmetic Progressions
Question
If and the sequence x, y and x, y each are in AP, then = ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  1 
Question number: 268
Question
If is exactly divisible by , then p = ________.
Choices
Choice (4)  Response  

a.  12  
b.  2  
c.  3  
d.  All of the above 
Question number: 269
Question
If then = ________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 
Question number: 270
» Mathematics » Surface Area and Volumes
Question
The diameter of a copper sphere is 8 cm. It is beaten and drawn into a wire of diameter 0.6 cm. The length of wire is ________.
Choices
Choice (4)  Response  

a.  985.14 cm  
b.  984.15 cm  
c.  948.15 cm  
d.  945.18 cm 
Question number: 271
» Mathematics » Quadratic Equations
Question
then becomes
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 272
» Mathematics » Arithmetic Progressions
Question
If the sum of the first 5 terms and the sum of the first 50 terms of a given AP are 50 and 5 respectively, then the sum of the first 55 terms is
Choices
Choice (4)  Response  

a.  110  
b.  75  
c.  55  
d.  65 
Question number: 273
» Mathematics » Quadratic Equations
Question
The difference of the roots of is
Choices
Choice (4)  Response  

a.  7  
b. 
 
c.  5  
d.  Question does not provide sufficient data or is vague 
Question number: 274
» Mathematics » Quadratic Equations
Question
The number of roots satisfying the equation is/are
Choices
Choice (4)  Response  

a.  2  
b.  3  
c.  1  
d.  Unlimited 
Question number: 275
» Mathematics » Arithmetic Progressions
Question
The sum of the first 100 positive integers exactly divisible by 4 is
Choices
Choice (4)  Response  

a.  20020  
b.  20200  
c.  40400  
d.  40040 