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The number of traffic violation recorded by police department for 10 day period is given. Calculate the first quartile, second quartile, third quartile and inter quartile range.


22 19 25 24 18 15 9 12 16 20



5. Prove that "19|2^{2^{6k+2}}+3" for k = 0, 1, 2, .... 


4. Prove that for positive integer n we have 169|33n+3-26n-27. 


3. Prove that there exists infinitely many positive integers n such that 4n2+ 1 is divisible both by 5 and 13. 


2. Find all integers x #= 3 such that x-3Ix3-3.


1. Find all positive integers n such that n2+ 1 is divisible by n+ 1. 


Name a non-polyhedral and say why it cannot be a platonic solid


Are any Platonic solids prisms? If so, which one(s) Name the prims and explain why it is a prism.


Are any platonic solids pyramids? If so which one(s) ?name the pyramid and explain it is a pyramid?


Derive one dimensional heat equation, explaining all the variables and constant as




well as stating all necessary assumptions made.

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