Basic Mathematics (KVPY StreamSA (Class 11) Math): Questions 68  72 of 164
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Question number: 68
» 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: 69
» Basic Mathematics » Algebra » Solving Equations
Question
If , , then is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 70
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 70, 82, 86. The length of the main diagonal of the cuboid which joins a pair of opposite corners is
Choices
Choice (4)  Response  

a.  90.78 

b.  97.52 

c.  80.63 

d.  95.36 

Question number: 71
» 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: 72
» 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. 

