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DS Section 5 problem 14.

Expert replies
by StarDust845 » Mon Dec 17, 2007 12:03 pm
14.

3.2xy6

If x and y each represent single digits in the decimal above, what digit does x represent?

(1) When the decimal is rounded to the nearest tenth, 3.2 is the result.
(2) When the decimal is rounded to the nearest hundredth, 3.24 is the result

Obviously I can't get the answer from (1) alone.

From (2):
The number has to be 3.23y6 right? for y GE 4 (GE means Greater than or Equal to - Somehow the post gets mangled up if I use inequality symbol).

So we know the value of x is 3. So answer should be B. But it isn't.

Calista.
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Source: — Data Sufficiency |

by StarDust845 » Mon Dec 17, 2007 12:05 pm
Well, on second thoughts y need not be greater than 4. It could be 0 also still x must be 3.
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by Tud » Mon Dec 17, 2007 3:52 pm
I'm not sure either is sufficient. Unless I'm missing something, couldn't it be 3.2396 or 3.2416?
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by camitava » Mon Dec 17, 2007 8:38 pm
Calista, first option is not sufficient at all. Now by second option, we can not be sure that the hundredth digit be 4. It can be 3 as well. I mean the number can be 3.2399 or 3.2411. So the answer should be E.
Correct me If I am wrong


Regards,

Amitava
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by samirpandeyit62 » Tue Dec 18, 2007 2:48 am
Agree with Camitava, ans should be E

3.2xy6

If x and y each represent single digits in the decimal above, what digit does x represent?

(1) When the decimal is rounded to the nearest tenth, 3.2 is the result.

decimal can be 3.15 -- 3.24 INSUFF

(2) When the decimal is rounded to the nearest hundredth, 3.24 is the result

decimal can be 3.235 -- 3.244 INSUFF

combine we have

decimal still can be 3.235 --- 3.244

coz each one will get rounded to 3.24 which can be rounded to 3.2 (tenth place)

INSUFF E
Regards
Samir
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by StarDust845 » Tue Dec 18, 2007 8:54 am
How can I be so stupid? All of you are right of course.. I missed 3.241

Thanks guys.

Calista.
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