ds #96

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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Wed Sep 01, 2010 12:45 am

the product of unit digit,the ten digit.and the hundred units of the positive integer m is 96.what is the unit digit of m?
1.m is odd
2.the hundred digit of m is 8

A SMALL TOWN GUY

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Source: Beat The GMAT — Data Sufficiency | Wed Sep 01, 2010 12:45 am

sirisha.g: Senior | Next Rank: 100 Posts; Posts: 85; Joined: Thu Jul 15, 2010 7:50 pm; Thanked: 1 times; GMAT Score:690

by sirisha.g » Wed Sep 01, 2010 1:45 am

IMO C

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Wed Sep 01, 2010 1:50 am

Solution:
Now 96 is the product of 3 single digit numbers.
96 = 12 * 8 = 3*4*8 = 2*6*8 =4*4*6.
So the units digit, tens digit and hundreds digit can be either 3, 4 and 8 or 2, 6 or 8 or 4, 4, 6 in any order.
Consider first statement (1) alone.
m is odd.
So the units digit of m is odd.
Only possibility is 3 from the combination of 3, 4 and 8.
So (1) alone is sufficient.

Next consider (2) alone.
The hundreds digit is 8.
So any of the 2 combinations 3, 4, 8 or 2, 6, 8 are possible.
So if hundreds digit is 8, units and tens digit can be any of 2, 3, 4 or 6.
Since we do not get a unique answer, (2) alone is not sufficient.

The correct answer is (A).

Rahul Lakhani
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ymach3: Senior | Next Rank: 100 Posts; Posts: 51; Joined: Mon Jul 13, 2009 4:25 pm; Thanked: 1 times

by ymach3 » Wed Sep 01, 2010 4:34 am

One more for C...

(i) can give you two numbers 483 or 843..... insuff

as explained by Rahul, (ii) is INSuff...

(i) & (ii) gives a unique number - 843

Hence C.... correct me if i am wrong....

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pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

by pradeepkaushal9518 » Wed Sep 01, 2010 4:56 am

answer is not C its A only thanks rahul now it clear to me

A SMALL TOWN GUY

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Wed Sep 01, 2010 5:32 am

One more for C...

(i) can give you two numbers 483 or 843..... insuff

as explained by Rahul, (ii) is INSuff...

(i) & (ii) gives a unique number - 843

Hence C.... correct me if i am wrong

They want the units digit and not the number. Both in 483 and in 843, units digit is 3.

Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)

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