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# Consecutive perfect square

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BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1130
Location: India
GMAT 1: 730 Q49 V41
GPA: 4

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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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Long And A Fruitful Journey - V21 to V41; If I can, So Can You!!

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7. GMAT Prep Challenge RC

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Joined: 07 Dec 2017
Posts: 612

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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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BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1130
Location: India
GMAT 1: 730 Q49 V41
GPA: 4

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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
_________________

Kudos if my post helps!

Long And A Fruitful Journey - V21 to V41; If I can, So Can You!!

Preparing for RC my way

My study resources:
1. Useful Formulae, Concepts and Tricks-Quant
2. e-GMAT's ALL SC Compilation
3. LSAT RC compilation
4. Actual LSAT CR collection by Broal
5. QOTD RC (Carcass)
6. Challange OG RC
7. GMAT Prep Challenge RC

Math Expert
Joined: 02 Sep 2009
Posts: 49320

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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...
_________________
BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1130
Location: India
GMAT 1: 730 Q49 V41
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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
_________________

Kudos if my post helps!

Long And A Fruitful Journey - V21 to V41; If I can, So Can You!!

Preparing for RC my way

My study resources:
1. Useful Formulae, Concepts and Tricks-Quant
2. e-GMAT's ALL SC Compilation
3. LSAT RC compilation
4. Actual LSAT CR collection by Broal
5. QOTD RC (Carcass)
6. Challange OG RC
7. GMAT Prep Challenge RC

Math Expert
Joined: 02 Sep 2009
Posts: 49320

### Show Tags

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.
_________________
BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1130
Location: India
GMAT 1: 730 Q49 V41
GPA: 4

### Show Tags

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
_________________

Kudos if my post helps!

Long And A Fruitful Journey - V21 to V41; If I can, So Can You!!

Preparing for RC my way

My study resources:
1. Useful Formulae, Concepts and Tricks-Quant
2. e-GMAT's ALL SC Compilation
3. LSAT RC compilation
4. Actual LSAT CR collection by Broal
5. QOTD RC (Carcass)
6. Challange OG RC
7. GMAT Prep Challenge RC

examPAL Representative
Joined: 07 Dec 2017
Posts: 612

### Show Tags

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.
_________________

Watch free GMAT tutorials in Math, Verbal, IR, and AWA.

GMAT test takers: Watch now the GMAC interview with the people who write the GMAT test!
We discussed the chances of improving a GMAT score; how important the first questions on the test are; what to do if you don’t have enough time to complete a whole section; and more.

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Re: Consecutive perfect square &nbs [#permalink] 14 Jan 2018, 13:49
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# Consecutive perfect square

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