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

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Joined: 01 Apr 2015
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The product of the units digit, the tens digit, and the hundreds digit [#permalink]

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New post 18 Apr 2015, 13:20
Just in case somebody else drops in here and gets confused by the different answers, it's because two different questions are being discussed.

1) What is the units digit of 'm'?
For this question, the answer is A since if you know 'm' is odd, then its units digit must be 3.

2) What is 'm'?
For this question, the answer is C since you have to combine both statements to get \(m=483\)

Kudos [?]: 9 [0], given: 7

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Re: The product of the units digit, the tens digit, and the hundreds digit [#permalink]

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New post 07 Jan 2016, 02:27
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

Question inference-
Let m= abc ( where a,b,c are the units in hundreds, tens and units place respectively)
Now, from question we know that axbxc = 96

also, a,b,c, are digits and hence belongs to the set { 0,1,2,3,4,5,6,7,8,9 }

Factorizing 96 we get 96= 2^5 x 3^1
Only possible solution sets of abc from above equations are { 2, 8, 6} , { 4, 4, 6}, { 8, 4, 3 }

Since, 2 x 8 x 6, 4 x 4 x 6, 8 x 4 x3 = 96


Now statement 1 :

(1) M is odd, hence units digit is odd and only solution set where one number is odd is { 8, 4, 3 }hence unit digit = 3 ( Sufficient)

Now statement 2 :
(2) Hundred digit of m is 8,

we have 2 solution sets where 8 appears => { 2,8,6} & { 8,4,3}

hence it is clearly insufficient

Correct Answer is A

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Re: The product of the units digit, the tens digit, and the hundreds digit [#permalink]

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New post 16 Sep 2017, 00:43
Hello from the GMAT Club BumpBot!

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Kudos [?]: 273 [0], given: 0

Re: The product of the units digit, the tens digit, and the hundreds digit   [#permalink] 16 Sep 2017, 00:43

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