GMAT PREP QUESTION

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hey_thr67: Master | Next Rank: 500 Posts; Posts: 299; Joined: Tue Feb 15, 2011 10:27 amFollowed by: 2 members; Thanked: 9 times

by hey_thr67 » Sun Jul 01, 2012 6:43 am

Not able to get the question

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Source: Beat The GMAT — Problem Solving | Sun Jul 01, 2012 6:43 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Jul 01, 2012 6:56 am

Algebraic Approach:

Say z = 0.abcd...
where a is the tenths digit, b is the hundredths, c is the hundredths, and d is the thousandths digit of z.

We need to find b.

Statement 1: 100z = ab.cd... --> c = 2 ---> Not sufficient

Statement 2: 1000z = abc.d... --> c = 2 ---> Not sufficient

1 & 2 Together: No new information ---> Not sufficient

The correct answer is E.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Jul 01, 2012 6:59 am

hey_thr67 wrote:What is the hundredths digit of the decimal z?

1) The tenths digit of 100z is 2
2) The units digit of 1000z is 2

The tricky part is to notice that the statements are actually different versions of each other. Both of them helps us to determine that thousandths digit of z is 2 as, thousandths digit of z = tenths digit of 100z = units digit of 1000z.

Hence, both statements together is insufficient.

The correct answer is E.

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