Sequence and Series (KVPY StreamSA Math): Questions 7  12 of 15
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Question number: 7
» Sequence and Series » Arithmetic Series
Appeared in Year: 2015
Question
If n is the smallest natural number such that n + 2n + 3n + … + 99n is a perfect square, then the number of digits in n^{2} is
Choices
Choice (4)  Response  

a.  2  
b.  1  
c.  3  
d.  more than 3 
Question number: 8
» Sequence and Series » Relation Between AM and GM
Question
Let p, q, r be three nonnegative integers such that . The maximum possible value of is,
Choices
Choice (4)  Response  

a.  520  
b.  680  
c.  690  
d.  703 
Question number: 9
» Sequence and Series » Arithmetic Series
Question
If a_{1}, a_{1}, a_{1}, …, a_{n } be an A. P. of nonzero terms, than;
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 10
» Sequence and Series » Arithmetic Series
Question
The fifth term of an A. P. is equal to four times the first term and the twice ninth term exceeds three times the fourth term by one. The first term and common difference of A. P. are –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 11
» Sequence and Series » Arithmetic Series
Question
Choices
Choice (4)  Response  

a.  4489  
b.  36  
c.  1089  
d.  484 
Question number: 12
» Sequence and Series » Relation Between AM and GM
Question
Let m, n, o be three nonnegative integers such that . The maximum possible value of is,
Choices
Choice (4)  Response  

a.  160  
b.  320  
c.  240  
d.  510 