KVPY StreamSA (Class 11) Math: Questions 198  203 of 251
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Question number: 198
» Basic Mathematics » Arithmetic » Number Games
Question
If, than value of x is –
Choices
Choice (4)  Response  

a.  2  
b.  3  
c. 
 
d. 

Question number: 199
» Basic Mathematics » Arithmetic » Number Games
Question
The least positive integer n from which is –
Choices
Choice (4)  Response  

a.  15  
b.  16  
c.  17  
d.  18 
Question number: 200
» Sequence and Series » Arithmetic Series
Question
If n is the largest natural number such that n + 2n + 3n + … + 70n is a perfect square, then the value of n is –
Choices
Choice (4)  Response  

a.  497  
b.  490  
c.  520  
d.  637 
Question number: 201
» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method
Question
A ladder 8 cm long is leading against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 3 cm away from the wall?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 202
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Question
If α, β are the roots of then that equation whose roots are is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 203
» Basic Mathematics » Arithmetic » Number Games
Question
Consider an incomplete pyramid of balls on a square base having 15 layers; and having 10 balls on each side of the top layer. Then the total number N of balls in that pyramid satisfies
Choices
Choice (4)  Response  

a.  60000 < N < 7000  
b.  4000 < N < 5000  
c.  5000 < N < 6000  
d.  3000 < N < 40000 