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# If 3p < 51 and 5p > 75, what is the value of the integer p?

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If 3p < 51 and 5p > 75, what is the value of the integer p? [#permalink]  23 Jul 2018, 10:32
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97% (00:32) correct 2% (00:00) wrong based on 36 sessions
If $$3p < 51$$ and $$5p > 75$$, what is the value of the integer p?

(A) 15
(B) 16
(C) 24
(D) 25
(E) 26
[Reveal] Spoiler: OA

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Re: If 3p < 51 and 5p > 75, what is the value of the integer p? [#permalink]  24 Jul 2018, 06:57
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3p < 51
hence, p < 51/3
or, p < 17

similarly, 5p>75
or, p> 75/5
or, p> 15

Therefore only integer between 15 and 17 is 16

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Re: If 3p < 51 and 5p > 75, what is the value of the integer p? [#permalink]  25 Jul 2018, 19:58
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Carcass wrote:
If $$3p < 51$$ and $$5p > 75$$, what is the value of the integer p?

(A) 15
(B) 16
(C) 24
(D) 25
(E) 26

Given,

3p < 51

p < 17

again

5p > 75

p > 15.

So, 15 < p < 17.

p = 16

Re: If 3p < 51 and 5p > 75, what is the value of the integer p?   [#permalink] 25 Jul 2018, 19:58
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