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If $ represents a digit in the 7-digit number 3,62$,215, what is the

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If $ represents a digit in the 7-digit number 3,62$,215, what is the  [#permalink]

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New post 11 Dec 2014, 07:08
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:47) correct 25% (01:32) wrong based on 198 sessions

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Tough and Tricky questions: Word Problems.



If $ represents a digit in the 7-digit number 3,62$,215, what is the value of $?

(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number

Kudos for a correct solution.

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Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the  [#permalink]

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New post 11 Dec 2014, 10:02
1
To be divisible by 4, the sum of digits must be divisible by 2 twice. Without integer $, the sum of digits is 19.

statement 1: insufficient
19 + ? = a number that is divisible by 4
$ could be 1, 5, or 9. not enough info

statement 2: insufficient
$ could be 0, 4, 7, 8, 9

statement 1+2: sufficient
Together, we know that $ must be 9!

Answer C!
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Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the  [#permalink]

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New post 12 Dec 2014, 17:35
1
Statement 1:

What $ would make the sum a multiple of 4?
$ could be 1, 5, or 9

As such, S1 is insufficient.

Statement 2:
This results in the possibility of 0, 4, 7, 8, and 9.

As such, S2 is insufficient.

Combined (S1 and S2):

9 would the be number. As such, the answer choice is C.
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If $ represents a digit in the 7-digit number 3,62$,215, what is the  [#permalink]

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New post 05 Jan 2019, 07:12
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If $ represents a digit in the 7-digit number 3,62$,215, what is the   [#permalink] 05 Jan 2019, 07:12
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