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# The product of the units digit, the tens digit, and the

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Manager
Joined: 07 Apr 2009
Posts: 115
The product of the units digit, the tens digit, and the [#permalink]

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25 Apr 2009, 00:39
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The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96.
What is the units digit of m?
(1) m is odd.
(2) The hundreds digit of m is 8.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

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Manager
Joined: 05 Jul 2008
Posts: 132
GMAT 2: 740 Q51 V38

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25 Apr 2009, 02:39
vageesh wrote:
The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96.
What is the units digit of m?
(1) m is odd.
(2) The hundreds digit of m is 8.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

96=1. 3 . 32
the units digit(a), the tens digit(b), and the hundreds (c)
(1) m is odd: the units digit could be 1 or 3 but if it was 1, bc=96 so it doesn't happen because bc=< 9*9=81 So (1) is sufficient
(2) c=8, so ab=12 => (2) is insufficient

A
Manager
Joined: 19 Aug 2006
Posts: 226

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26 Apr 2009, 16:48
96=> 2^5*3
So, we know that m will consist of even and odd numbers.

smnt 1 - suffic., because only 3 is odd in m
stmnt2 - not suffic., because both units and tens digits could either be 3 or 2^2.

Manager
Joined: 22 Feb 2009
Posts: 129
Schools: Kellogg (R1 Dinged),Cornell (R2), Emory(Interview Scheduled), IESE (R1 Interviewed), ISB (Interviewed), LBS (R2), Vanderbilt (R3 Interviewed)

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29 Apr 2009, 04:49
vageesh wrote:
The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96.
What is the units digit of m?
(1) m is odd.
(2) The hundreds digit of m is 8.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

A.

Product of three digits is 96. Here all these digits must be single digit.
=> the combinations can be 4, 3, 8 OR 2,6,8, OR 4,6,4
1. m is odd
The only option is m=3
Hence Sufficient
2. The hundreds digit of m is 8
=> Unit digit can be 4 or 3
Hence not sufficient
Manager
Joined: 22 Feb 2009
Posts: 129
Schools: Kellogg (R1 Dinged),Cornell (R2), Emory(Interview Scheduled), IESE (R1 Interviewed), ISB (Interviewed), LBS (R2), Vanderbilt (R3 Interviewed)

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29 Apr 2009, 04:55
DavidArchuleta wrote:
peraspera wrote:
96=> 2^5*3
So, we know that m will consist of even and odd numbers.

smnt 1 - suffic., because only 3 is odd in m
stmnt2 - not suffic., because both units and tens digits could either be 3 or 2^2.

peraspera wrote:
96=> 2^5*3

smnt 1 - suffic., because only 3 is odd in m

1 is odd too.

1 can not be unit digit of m. As, if this is the case then there are no other two single digits whose product will be 96. Hence, the product of unit, tenth and hundredth cannot be 96
Manager
Joined: 05 Jul 2008
Posts: 132
GMAT 2: 740 Q51 V38

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29 Apr 2009, 07:50
bandit wrote:
DavidArchuleta wrote:
peraspera wrote:
96=> 2^5*3
So, we know that m will consist of even and odd numbers.

smnt 1 - suffic., because only 3 is odd in m
stmnt2 - not suffic., because both units and tens digits could either be 3 or 2^2.

peraspera wrote:
96=> 2^5*3

smnt 1 - suffic., because only 3 is odd in m

1 is odd too.

1 can not be unit digit of m. As, if this is the case then there are no other two single digits whose product will be 96. Hence, the product of unit, tenth and hundredth cannot be 96

I know I just want to make the solution perfect

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: DS- sets   [#permalink] 29 Apr 2009, 07:50
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