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# Find the value of positive integer P that lies between 1 and 30 and is

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Find the value of positive integer P that lies between 1 and 30 and is  [#permalink]

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11 Apr 2019, 22:58
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Difficulty:

55% (hard)

Question Stats:

40% (01:04) correct 60% (01:32) wrong based on 10 sessions

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Find the value of positive integer P that lies between 1 and 30 and is a perfect square.

(1) P has at least one Prime factor

(2) The cube of P is less than 300

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Re: Find the value of positive integer P that lies between 1 and 30 and is  [#permalink]

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12 Apr 2019, 01:03
Find the value of positive integer P that lies between 1 and 30 and is a perfect square.

Although between 1 and 30 means 1 and 30 is not included. May be better, if it is specified more clearly.. between 1 and 30, both exclusive

(1) P has at least one Prime factor
All numbers will fit in
Insuff

(2) The cube of P is less than 300
$$7^3>300$$ and $$6^3<300$$, so P can be 2, 3, 4, 5, or 6..
Only 4 is a perfect square..
Suff

B
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Re: Find the value of positive integer P that lies between 1 and 30 and is  [#permalink]

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12 Apr 2019, 10:56
themindful wrote:
Find the value of positive integer P that lies between 1 and 30 and is a perfect square.

(1) P has at least one Prime factor

(2) The cube of P is less than 300

#1
P = 1,4,9,16,25
prime factors ; 2,3,5 insufficient
#2
cube of P <300 ;
max P = 6 and <6 only 4 is perferct square
IMO B
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Re: Find the value of positive integer P that lies between 1 and 30 and is   [#permalink] 12 Apr 2019, 10:56
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