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# What is the value of p? (1) p is an integer (2) √20<p<16/3

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Math Expert
Joined: 02 Sep 2009
Posts: 47157
What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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24 Oct 2016, 23:08
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15% (low)

Question Stats:

86% (00:33) correct 14% (00:40) wrong based on 92 sessions

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What is the value of p?

(1) p is an integer

(2) √20<p<16/3

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Re: What is the value of p? (1) p is an integer (2) √20 [#permalink]

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25 Oct 2016, 02:22
sqrt20 = 2sqrt5 = 2*2.24= 4.48 almost 4.5

16/3 = 5.33

Using both statements

P= 5

C

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What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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Updated on: 25 Oct 2016, 08:24
Bunuel wrote:
What is the value of p?

(1) p is an integer

(2) √20<p<16/3

Question : P = ?

Statement 1:p is an Integer

NOT SUFFICIENT

Statement 2:√20<p<16/3
i.e. 4.5<p<5.33

NOT SUFFICIENT

Combining the two statements
i.e. 4.5<p<5.33 and p is an Integer
i.e. P = 5

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Originally posted by GMATinsight on 25 Oct 2016, 06:08.
Last edited by GMATinsight on 25 Oct 2016, 08:24, edited 1 time in total.
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Re: What is the value of p? (1) p is an integer (2) √20 [#permalink]

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25 Oct 2016, 08:18
GMATinsight wrote:
Bunuel wrote:
What is the value of p?

(1) p is an integer

(2) √20<p<16/3

Question : P = ?

Statement 1:p is an Integer

NOT SUFFICIENT

Statement 2:√20<p<16/3
i.e. 4.5<p<5.33
i.e. P = 5
SUFFICIENT

How did u know p is integer from B??

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Re: What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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25 Oct 2016, 08:25
yezz wrote:
GMATinsight wrote:
Bunuel wrote:
What is the value of p?

(1) p is an integer

(2) √20<p<16/3

Question : P = ?

Statement 1:p is an Integer

NOT SUFFICIENT

Statement 2:√20<p<16/3
i.e. 4.5<p<5.33
i.e. P = 5
SUFFICIENT

How did u know p is integer from B??

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I made a mistake... Apologies and thank you for bringing it in my notice.
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Re: What is the value of p? (1) p is an integer (2) √20 [#permalink]

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25 Oct 2016, 08:47
We are all the same man

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Re: What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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17 Sep 2017, 10:35
Isn't root 20 = 2 root 5; where did 4.5 come from?
so A tells us: p b/w 2 root 5 and B) says p is b/w root 20 and 16/3--
COMBINED: p between 5.55 and 2 into root 5 ; leaving us with P which could 5,4,3,2--> How is C sufficient?
It looks like E ..
Would appreciate some explanation here
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Re: What is the value of p? (1) p is an integer (2) √20 [#permalink]

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17 Sep 2017, 10:40
Isn't root 20 = 2 root 5; where did 4.5 come from?
so A tells us: p b/w 2 root 5 and B) says p is b/w root 20 and 16/3--
COMBINED: p between 5.55 and 2 into root 5 ; leaving us with P which could 5,4,3,2--> How is C sufficient?
It looks like E ..
Would appreciate some explanation here

2root(5)=2*2.22 =4.44 approximately so p lies between 4.44 and 5.33
Since p can take any value from given range St I is important to find unique value of p

Hence Option C is correct

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Posts: 47157
Re: What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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17 Sep 2017, 10:41
1
Isn't root 20 = 2 root 5; where did 4.5 come from?
so A tells us: p b/w 2 root 5 and B) says p is b/w root 20 and 16/3--
COMBINED: p between 5.55 and 2 into root 5 ; leaving us with P which could 5,4,3,2--> How is C sufficient?
It looks like E ..
Would appreciate some explanation here

$$\sqrt{20}=2\sqrt{5} \approx 4.5$$

So, $$\sqrt{20} < p <\frac{16}{3}$$ --> $$4.5 < p <5.3$$. Ans since x is an integer, then x = 5.
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Re: What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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17 Sep 2017, 10:54
Bunuel wrote:
Isn't root 20 = 2 root 5; where did 4.5 come from?
so A tells us: p b/w 2 root 5 and B) says p is b/w root 20 and 16/3--
COMBINED: p between 5.55 and 2 into root 5 ; leaving us with P which could 5,4,3,2--> How is C sufficient?
It looks like E ..
Would appreciate some explanation here

$$\sqrt{20}=2\sqrt{5} \approx 4.5$$

So, $$\sqrt{20} < p <\frac{16}{3}$$ --> $$4.5 < p <5.3$$. Ans since x is an integer, then x = 5.

Thank you Bunuel, that cleared it up
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Re: What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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17 Sep 2017, 11:18
(1) p is an integer
clearly insufficient

(2) √20<p<16/3
√20=4.5 (approx)
and 16/3= 5.33
hence, 4.5<p<5.33
clearly insufficient as p can take multiple values (eg 4.6, 4.7,5.1 etc)

From statements 1 and 2,
p is an integer and 4.5<p<5.33
then only possible value for p is 5.

Kudos if it helps.
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Re: What is the value of p? (1) p is an integer (2) √20<p<16/3  [#permalink]

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18 Sep 2017, 07:07
Bunuel wrote:
What is the value of p?

(1) p is an integer

(2) √20<p<16/3

Stmnt 1 --> p an integer. no value of p . Insufficient.

Stmnt 2*2.24<p<5.33. insufficient.

Combining 1 &2 Only integer value is 5
Ans:C
Re: What is the value of p? (1) p is an integer (2) √20<p<16/3 &nbs [#permalink] 18 Sep 2017, 07:07
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