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# The symbols , , and each represent a different positive digit....

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Director
Joined: 12 Feb 2015
Posts: 917
The symbols , , and each represent a different positive digit....  [#permalink]

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17 Feb 2019, 09:37
00:00

Difficulty:

55% (hard)

Question Stats:

42% (01:22) correct 58% (01:06) wrong based on 31 sessions

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Attachment:

NQ.jpg [ 27.01 KiB | Viewed 553 times ]

A) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D) EITHER statement BY ITSELF is sufficient to answer the question.
E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

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Manish

"Only I can change my life. No one can do it for me"
Intern
Joined: 19 Oct 2018
Posts: 8
Location: India
Concentration: Finance, Economics
GPA: 4
WE: Human Resources (Consulting)
Re: The symbols , , and each represent a different positive digit....  [#permalink]

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17 Feb 2019, 10:56
C)

We can determine the value using both statements.
Intern
Joined: 19 Jan 2017
Posts: 20
Re: The symbols , , and each represent a different positive digit....  [#permalink]

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17 Feb 2019, 18:04
Statement 1:
Insufficient as for the diamond and spade can take on multiple values. E.g. Diamond = 1,Spade = 7, etc.

Statement 2:
Spade can only take on the value of 1. Therefore, Diamond = 7.
Sufficient.

B
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: The symbols , , and each represent a different positive digit....  [#permalink]

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17 Feb 2019, 20:01
CAMANISHPARMAR wrote:
Attachment:
NQ.jpg

I say cards are not my forte

I will be replacing them with a(club), b(diamond) and c(spade)

given they are different, positive digits.

if a-b = c, what is b =??

from 1) a =8, no information about b and c

from 2) b =7 c

now c = 1, 2, 3, b will be 7,14,21

which when put back in a-b =c, can give you different values for a, like 8,16,24

Now lets combine

a is fixed, a-b cannot be -ive

Only one value satisfies the above expression, making b = 7

C
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If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Intern
Joined: 19 Jan 2017
Posts: 20
Re: The symbols , , and each represent a different positive digit....  [#permalink]

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17 Feb 2019, 20:12
1
KanishkM wrote:
CAMANISHPARMAR wrote:
Attachment:
NQ.jpg

I say cards are not my forte

I will be replacing them with a(club), b(diamond) and c(spade)

given they are different, positive digits.

if a-b = c, what is b =??

from 1) a =8, no information about b and c

from 2) b =7 c

now c = 1, 2, 3, b will be 7,14,21

which when put back in a-b =c, can give you different values for a, like 8,16,24

Now lets combine

a is fixed, a-b cannot be -ive

Only one value satisfies the above expression, making b = 7

C

b can only be a single digit, not two digit numbers as you have noted.
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
The symbols , , and each represent a different positive digit....  [#permalink]

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17 Feb 2019, 20:19
truplayer257 wrote:
KanishkM wrote:
CAMANISHPARMAR wrote:
Attachment:
NQ.jpg

from 2) b =7 c

now c = 1, 2, 3, b will be 7,14,21

which when put back in a-b =c, can give you different values for a, like 8,16,24

Now lets combine

a is fixed, a-b cannot be -ive

Only one value satisfies the above expression, making b = 7

C

b can only be a single digit, not two digit numbers as you have noted.

That's why i said before,i dont like cards

You are absolutely correct, general definition of a digit is

values comprising of 0,1,2,3,4,5,6,7,8,9

Thank you.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
The symbols , , and each represent a different positive digit....   [#permalink] 17 Feb 2019, 20:19
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