Basic MathematicsArithmetic (KVPY StreamSA (Class 11) Math): Questions 32  37 of 77
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Question number: 32
» Basic Mathematics » Arithmetic » Rates
Question
Given area three cylindrical buckets X, Y, Z whose circular bases are of radii 1, 2, 3 units, respectively. Initially water is filled in these buckets up to the same height. Some water is then transferred from Z to X so that they both have the same volume of water. Some water is then transferred between X and Y so that they both have the same volume of water. If , denote the heights of water at this stage in the buckets Y, Z respectively, then the ratio equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  1 

Question number: 33
» Basic Mathematics » Arithmetic » Number Games
Question
The largest nonnegative integer m such that 36^{m} divides 18! is
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  5 

d.  4 

Question number: 34
» Basic Mathematics » Arithmetic » Number Games
Question
Which of the following set of numbers necessarily contains a multiple of 7?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 35
» Basic Mathematics » Arithmetic » Number Games
Question
The number of distinct primes dividing 12! + 13! + 14! is –
Choices
Choice (4)  Response  

a.  7 

b.  6 

c.  5 

d.  8 

Question number: 36
» Basic Mathematics » Arithmetic » Absolute Value
Question
The least positive integer n from which is,
Choices
Choice (4)  Response  

a.  9 

b.  10 

c.  12 

d.  15 

Question number: 37
» Basic Mathematics » Arithmetic » Ratio and Proportion
Question
A business man travels 900 km by train at 70 km/hr, 700 km by ship at 55 km/hr, 750 km by aero plane at 375 km/hr and 50 km by car at 50 km/hr. So the average speed (in km/hr) for entire distance is –
Choices
Choice (4)  Response  

a.  82 

b.  86 

c.  80 

d.  84 
