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

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Manager
Joined: 10 Oct 2008
Posts: 56
The product of the units digit, the tens digit, and the  [#permalink]

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14 Oct 2008, 15:46
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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Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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14 Oct 2008, 15:57
C

Lets say xyz is the number
x*y*z = 96

a. xyz is odd
Not Sufficient

b.x = 8
Not Sufficient

Together
8*y*z = 96
y*z = 12
z has to either 1,3,5,7,9

So, 843 is the number
Retired Moderator
Joined: 05 Jul 2006
Posts: 1731

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14 Oct 2008, 16:13
[quote="Jcpenny"]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.

96 = 3*2^4 ie: = 3*4*8 or 6*4*4 or 6*2*8

if m is odd it has to end in 3 and the only possible combination is (3*4*8)..........suff

2

obviously not suff

A
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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14 Oct 2008, 16:25
how did you guys choose A

m can be 483 or 843 ?????
Retired Moderator
Joined: 05 Jul 2006
Posts: 1731

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14 Oct 2008, 16:31
LiveStronger wrote:
how did you guys choose A

m can be 483 or 843 ?????

EXACTLY THE UNITS DIGIT CAN ONLY = 3...RE READ THE QUESTION
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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14 Oct 2008, 16:43
Oops

Intern
Joined: 23 Sep 2008
Posts: 15

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14 Oct 2008, 23:33
Answer is A. m is odd meaning the units digit will be odd.

And after factoring 96 there is only 3 which is an odd number. Hence A is the answer.

Knowing the hundreds digit gives no clue about the units digit or ay relation.
Manager
Joined: 12 Oct 2008
Posts: 98

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15 Oct 2008, 12:10
could smb explain the question.... Ones like that are just killing me I do not understand what is being asked... "The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96"?????? Pls. help
Retired Moderator
Joined: 05 Jul 2006
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15 Oct 2008, 13:56
linau1982 wrote:
could smb explain the question.... Ones like that are just killing me I do not understand what is being asked... "The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96"?????? Pls. help

cool down , we all started from somwhere close to where u r right now.

236 * 2 is hundredth digit, 3 is tenth digit , 6 is the units digit

ie: the question is asking the following

the product of 3 intigers < 10 is 96

u need to faactorise 96 into 3 intigers less than 10.

...and so forth

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Re: digit &nbs [#permalink] 15 Oct 2008, 13:56
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# The product of the units digit, the tens digit, and the

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