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Bunuel
Given a positive integer p, how many integers are greater than \(2p\) and less than \(4p − 1\)?

A. \(\frac{p}{2}\)

B. \(p\)

C. \(p+1\)

D. \(2p-2\)

E. \(3p-3\)


let p be 2

2p = 2*2 = 4

4p - 1 = 4*2 - 1 = 7

Integers in between p: 5, 6.

let p be 3 .

3*2 = 6

(3*4) - 1 = 11

integers in between = 7, 8 , 9 , 10

options D;

2p - 2
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KSBGC
Bunuel
Given a positive integer p, how many integers are greater than \(2p\) and less than \(4p − 1\)?

A. \(\frac{p}{2}\)

B. \(p\)

C. \(p+1\)

D. \(2p-2\)

E. \(3p-3\)


let p be 2

2p = 2*2 = 4

4p - 1 = 4*2 - 1 = 7

Integers in between p: 5, 6.

Option B: p = 2.

Check for any value other than 2
It is not valid for 1 also

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(4p-1 - 2p)-1
=2p-1-1
= 2p-2
D

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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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