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X is a 3-digit number and Y is a 4- digit number. All the di

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X is a 3-digit number and Y is a 4- digit number. All the di [#permalink] New post 21 Apr 2018, 03:21
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Question Stats:

79% (00:42) correct 20% (01:10) wrong based on 29 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.

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[Reveal] Spoiler: OA

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Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink] New post 03 Jul 2018, 08:08
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Quantity A can be anything but greater than >12 (4*3)
Quantity B can be anything but lesser than < 20 (5*4)

Hence D !
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Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink] New post 11 Sep 2019, 10:10
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?
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Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink] New post 11 Sep 2019, 10:19
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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.
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Re: X is a 3-digit number and Y is a 4- digit number. All the di [#permalink] New post 11 Sep 2019, 10:22
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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

Answer: D

Cheers,
Brent
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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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