Digits

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Digits

by tanyasethi » Wed Jul 27, 2011 1:22 pm
Is the hundredths digit of the decimal d greater than 5?

(1) the tenths digit of 10d is 7.
(2) the thousandths digit of d/10 is 7.

I know this has been answered before but there is no clear explanation :(

OA is D
Source: — Data Sufficiency |

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by akhilsuhag » Wed Jul 27, 2011 1:36 pm
Hi,

Let me try and do this.

let the decimal be d= 0.abc. Here the tenths digit is a and the hundreths is b (this is what we have to find).

Now Statement 1:
Now 10d is a.bc and it says that the tenths digit of 10d is 7.

Therefore b=7.

So SUFFICIENT.

Statement 2:

Here again d/10 = .0abc. Now the thousandth digit (which is b again) is 7. So clearly again b=7.

This makes this statement also SUFFICIENT.

So, both the statements are sufficient.

I hope it makes sence, if it doesn't let me know and we mit try a different approach.

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by tanyasethi » Wed Jul 27, 2011 10:55 pm
I got it! Thank you akhilsuhag! :)