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# Consecutive perfect square

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Retired Moderator
Joined: 28 Mar 2017
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13 Jan 2018, 11:37
Hi,

What does consecutive perfect square of prime numbers mean?

Is it: sq of 2,3 (square of only consecutive prime numbers)

OR

Is it: sq of 2,3 // sq of 3,5 // sq of 5,7 ...... and so on (consecutive perfect squares)

Regards
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14 Jan 2018, 01:08
gmatexam439 wrote:
Hi,

What does consecutive perfect square of prime numbers mean?

Is it: sq of 2,3 (square of only consecutive prime numbers)

OR

Is it: sq of 2,3 // sq of 3,5 // sq of 5,7 ...... and so on (consecutive perfect squares)

Regards

I haven't heard this expression before.. where is it from?

Your two options refer to different parsings of the phrase "consecutive perfect square of prime numbers"
Option 1 is the only ( (consecutive perfect square) of prime numbers)
Option 2 is any (consecutive (perfect square of prime numbers) ).

Without context I don't think you can separate the two.
(though personally, from a what-makes-more-sense-in-English point of view, I would go with option 2)
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14 Jan 2018, 08:04
DavidTutorexamPAL wrote:
gmatexam439 wrote:
Hi,

What does consecutive perfect square of prime numbers mean?

Is it: sq of 2,3 (square of only consecutive prime numbers)

OR

Is it: sq of 2,3 // sq of 3,5 // sq of 5,7 ...... and so on (consecutive perfect squares)

Regards

I haven't heard this expression before.. where is it from?

Your two options refer to different parsings of the phrase "consecutive perfect square of prime numbers"
Option 1 is the only ( (consecutive perfect square) of prime numbers)
Option 2 is any (consecutive (perfect square of prime numbers) ).

Without context I don't think you can separate the two.
(though personally, from a what-makes-more-sense-in-English point of view, I would go with option 2)

Hi DavidTutorexamPAL,

Please go through this question: https://gmatclub.com/forum/new-set-numb ... l#p1205358

The solution made me think the same way you did. I too am confused after having a look at the solution. Based on "what-makes-more-sense-in-English" i chose "E" as the answer while OA is "D". Hence my doubt.

Regards
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Joined: 02 Sep 2009
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14 Jan 2018, 08:09
gmatexam439 wrote:
DavidTutorexamPAL wrote:
gmatexam439 wrote:
Hi,

What does consecutive perfect square of prime numbers mean?

Is it: sq of 2,3 (square of only consecutive prime numbers)

OR

Is it: sq of 2,3 // sq of 3,5 // sq of 5,7 ...... and so on (consecutive perfect squares)

Regards

I haven't heard this expression before.. where is it from?

Your two options refer to different parsings of the phrase "consecutive perfect square of prime numbers"
Option 1 is the only ( (consecutive perfect square) of prime numbers)
Option 2 is any (consecutive (perfect square of prime numbers) ).

Without context I don't think you can separate the two.
(though personally, from a what-makes-more-sense-in-English point of view, I would go with option 2)

Hi DavidTutorexamPAL,

Please go through this question: https://gmatclub.com/forum/new-set-numb ... l#p1205358

The solution made me think the same way you did. I too am confused after having a look at the solution. Based on "what-makes-more-sense-in-English" i chose "E" as the answer while OA is "D". Hence my doubt.

Regards

That question does not say "consecutive perfect square of prime numbers" it says "consecutive perfect squares". Consecutive perfect square are 1 and 4, or 4 and 9...
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14 Jan 2018, 08:42
Bunuel wrote:
That question does not say "consecutive perfect square of prime numbers" it says "consecutive perfect squares". Consecutive perfect square are 1 and 4, or 4 and 9...

Hi Bunuel,

Question wrote:
If 0 < x < y and x and y are consecutive perfect squares, what is the remainder when y is divided by x?

(1) Both x and y is have 3 positive factors.
(2) Both √x and √y are prime numbers

From both the statements its clear that √x and √y are prime numbers. We are not given that √x and √y have to be consecutive; x and y should be consecutive.

So, $$2^2$$=4 & $$3^2$$=9; $$3^2$$=9 & $$5^2$$=25; $$5^2$$=25 & $$7^2$$=49 ...... and so on are all consecutive perfect squares that satisfy the information given in statement 1. Since we have more than 1 possible values, then how can we say that either statement 1 or statement 2 is sufficient?

Since, OA=D please explain where am I going wrong? I am unable to comprehend the OE.

Regards
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14 Jan 2018, 08:48
gmatexam439 wrote:
Bunuel wrote:
That question does not say "consecutive perfect square of prime numbers" it says "consecutive perfect squares". Consecutive perfect square are 1 and 4, or 4 and 9...

Hi Bunuel,

Question wrote:
If 0 < x < y and x and y are consecutive perfect squares, what is the remainder when y is divided by x?

(1) Both x and y is have 3 positive factors.
(2) Both √x and √y are prime numbers

From both the statements its clear that √x and √y are prime numbers. We are not given that √x and √y have to be consecutive; x and y should be consecutive.

So, $$2^2$$=4 & $$3^2$$=9; $$3^2$$=9 & $$5^2$$=25; $$5^2$$=25 & $$7^2$$=49 ...... and so on are all consecutive perfect squares that satisfy the information given in statement 1. Since we have more than 1 possible values, then how can we say that either statement 1 or statement 2 is sufficient?

Since, OA=D please explain where am I going wrong? I am unable to comprehend the OE.

Regards

I think you missed the very first sentence of the solution provided: Notice that since x and y are consecutive perfect squares, then $$\sqrt{x}$$ and $$\sqrt{y}$$ are consecutive integers. The only primes, which are also consecutive integers are 2 and 3.
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14 Jan 2018, 09:13
Bunuel wrote:
gmatexam439 wrote:
Bunuel wrote:
That question does not say "consecutive perfect square of prime numbers" it says "consecutive perfect squares". Consecutive perfect square are 1 and 4, or 4 and 9...

Hi Bunuel,

Question wrote:
If 0 < x < y and x and y are consecutive perfect squares, what is the remainder when y is divided by x?

(1) Both x and y is have 3 positive factors.
(2) Both √x and √y are prime numbers

From both the statements its clear that √x and √y are prime numbers. We are not given that √x and √y have to be consecutive; x and y should be consecutive.

So, $$2^2$$=4 & $$3^2$$=9; $$3^2$$=9 & $$5^2$$=25; $$5^2$$=25 & $$7^2$$=49 ...... and so on are all consecutive perfect squares that satisfy the information given in statement 1. Since we have more than 1 possible values, then how can we say that either statement 1 or statement 2 is sufficient?

Since, OA=D please explain where am I going wrong? I am unable to comprehend the OE.

Regards

I think you missed the very first sentence of the solution provided: Notice that since x and y are consecutive perfect squares, then $$\sqrt{x}$$ and $$\sqrt{y}$$ are consecutive integers. The only primes, which are also consecutive integers are 2 and 3.

Thank you Bunuel. I missed that part. It makes sense now.

Can you please share link for tricky PS/DS questions such as this one.

Regards
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14 Jan 2018, 13:49
gmatexam439 wrote:
Thank you Bunuel. I missed that part. It makes sense now.

Can you please share link for tricky PS/DS questions such as this one.

Regards

Looks like I missed the boat
Anyways, glad you figured it out.
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Re: Consecutive perfect square   [#permalink] 14 Jan 2018, 13:49
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