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Founder  Joined: 18 Apr 2015
Posts: 13889
GRE 1: Q160 V160 Followers: 313

Kudos [?]: 3676 , given: 12909

X is a 3-digit number and Y is a 4- digit number. All the di [#permalink]
Expert's post 00:00

Question Stats: 74% (00:42) correct 25% (00:59) wrong based on 31 sessions

X is a 3-digit number and Y is a 4 digit number. All the digits of X are greater than 4, and all the digits of Y are less than 5.

 Quantity A Quantity B The sum of the digits of X The sum of the digits of Y

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for the right explanation and solution
[Reveal] Spoiler: OA

_________________ Intern Joined: 29 Jun 2018
Posts: 10
Followers: 0

Kudos [?]: 11  , given: 0

Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink]
2
KUDOS
Quantity A can be anything but greater than >12 (4*3)
Quantity B can be anything but lesser than < 20 (5*4)

Hence D !
Manager Joined: 18 Jun 2019
Posts: 122
Followers: 1

Kudos [?]: 28 , given: 62

Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink]
I don't feel confident about the solution.

My solution:

A: X's digits can take any value above 4. Max is 9.Therefore, max sum would be 9+9+9=27
B: Y's digits can take anytjing below 5. Max is 4. therefore, max sum would be 4+4+4+4=16

So, A>B?

or

Is my answer wrong because I'm only considering the extreme possibility? GRE Instructor Joined: 10 Apr 2015
Posts: 3907
Followers: 163

Kudos [?]: 4766  , given: 70

Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink]
1
KUDOS
Expert's post
bellavarghese wrote:

Is my answer wrong because I'm only considering the extreme possibility?

Yes. You're examining only the biggest possible values of X and Y.
_________________

Brent Hanneson – Creator of greenlighttestprep.com  GRE Instructor Joined: 10 Apr 2015
Posts: 3907
Followers: 163

Kudos [?]: 4766  , given: 70

Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink]
1
KUDOS
Expert's post
Carcass wrote:

X is a 3-digit number and Y is a 4 digit number. All the digits of X are greater than 4, and all the digits of Y are less than 5.

 Quantity A Quantity B The sum of the digits of X The sum of the digits of Y

Let's examine some POSSIBLE cases....

case i: It COULD be the case that X = 999 and Y = 1111
We get:
Quantity A: sum of the digits of X = 9 + 9 + 9 = 27
Quantity B: sum of the digits of Y = 1 + 1 + 1 + 1 = 4
In this case, Quantity A is greater

case ii: It COULD be the case that X = 555 and Y = 4444
We get:
Quantity A: sum of the digits of X = 5 + 5 + 5 = 15
Quantity B: sum of the digits of Y = 4 + 4 + 4 + 4 = 16
In this case, Quantity B is greater

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com  Re: X is a 3-digit number and Y is a 4- digit number. All the di   [#permalink] 11 Sep 2019, 10:22
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