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Problem Solving (PS) | Re: [V] denotes the greatest integer less than or equal to 'V'. 'V' is a p

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nick1816 wrote:

[V] denotes the greatest integer less than or equal to 'V'. 'V' is a positive integer and \([\frac{V}{5}]-[\frac{V}{7}]=1\).
If the minimum value of 'V' is 'a' and the maximum value of 'V' is 'b'. What is the value of (a+b)?

A. 33
B. 34
C. 35
D. 40
E. 42


\([\frac{V}{5}]-[\frac{V}{7}]=1\)
Minimum When\(\frac{V}{5}\) just crosses 0.5, while \(\frac{V}{7}\) remains below 0.5..
This means V can be 3, SO A=3

Maximum\([\frac{V}{5}]-[\frac{V}{7}]<2\) , as we can have the difference just below 2, but the answer still as 1, for example 4.5 and 6.4999.
Here 4.5 will become
...

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