Basic MathematicsArithmetic (KVPY StreamSA (Class 11) Math): Questions 32  37 of 83
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 265 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 200.00 or
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 
