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Consecutive perfect square

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Consecutive perfect square [#permalink]

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New post 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)

Please elaborate.

Regards
_________________

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


My study resources:
1. Useful Formulae, Concepts and Tricks-Quant
2. e-GMAT's ALL SC Compilation
3. LSAT RC compilation
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6. Challange OG RC
7. GMAT Prep Challenge RC

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Re: Consecutive perfect square [#permalink]

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New post 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)

Please elaborate.

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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Re: Consecutive perfect square [#permalink]

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New post 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)

Please elaborate.

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!!


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

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Re: Consecutive perfect square [#permalink]

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New post 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)

Please elaborate.

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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Wharton Thread Master
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Joined: 28 Mar 2017
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Consecutive perfect square [#permalink]

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New post 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!!


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

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Joined: 02 Sep 2009
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Consecutive perfect square [#permalink]

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New post 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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Wharton Thread Master
User avatar
D
Joined: 28 Mar 2017
Posts: 1021
Location: India
Concentration: Finance, Technology
GMAT 1: 730 Q49 V41
GPA: 4
Re: Consecutive perfect square [#permalink]

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New post 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!!


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

Expert Post
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Joined: 07 Dec 2017
Posts: 433
Re: Consecutive perfect square [#permalink]

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New post 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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