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

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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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New post 24 Oct 2016, 23:08
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Re: What is the value of p? (1) p is an integer (2) √20[#permalink]

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New post 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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New post 25 Oct 2016, 06:08
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

Answer: option C
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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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New post 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

Answer: option B


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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New post 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

Answer: option B


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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New post 25 Oct 2016, 08:47
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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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New post 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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New post 17 Sep 2017, 10:40
Madhavi1990 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

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

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New post 17 Sep 2017, 10:41
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Madhavi1990 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.
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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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New post 17 Sep 2017, 10:54
Bunuel wrote:
Madhavi1990 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 :thumbup:

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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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New post 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.

Hence Answer is option C.

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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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New post 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

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