KVPY StreamSA Math: Questions 170  175 of 251
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Question number: 170
» Basic Mathematics » Arithmetic » Number Games
Question
The largest nonnegative integer K such that 18^{k} divides 16! is
Choices
Choice (4)  Response  

a.  5  
b.  3  
c.  2  
d.  4 
Question number: 171
» Basic Mathematics » Algebra » Solving Equations
Question
The square root of is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 172
» Basic Mathematics » Arithmetic » Number Games
Question
The least positive integer n from which is –
Choices
Choice (4)  Response  

a.  10  
b.  11  
c.  12  
d.  13 
Question number: 173
» Basic Mathematics » Arithmetic » Rates
Question
Given area three cylindrical buckets A, B, C whose circular bases are of radii 4, 6, 8 units, respectively. Initially water is filled in these buckets up to the same height. Some water is then transferred from C to A so that they both have the same volume of water. Some water is then transferred between A and B so that they both have the same volume of water. If , denote the heights of water at this stage in the buckets B, C respectively, then the ratio equals –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 174
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a triangle PQR with ∠Q = 90°, M is a point on PR such that QM: QR = 5: 2. If and , then MR: MP is –
Choices
Choice (4)  Response  

a. 
 
b.  1: 2  
c.  2: 1  
d. 

Question number: 175
» 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 