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Digits

Expert replies
Source: — Data Sufficiency |

by Tryingmybest » Sat Nov 22, 2008 11:38 am
Ans D

Tenths Digit of 10 D is 7 For example 0.07*10 = 0.7
So Suffucient

d/10= .07/10 = .007 Thousandths digit is seven

Suffuicent

So D
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by lunarpower » Mon Nov 24, 2008 5:33 am
you should think of it as though the decimal point has moved. in fact, this is precisely what has happened, as both statements involving multiplication by powers of 10 (which serves to move the decimal point while leaving the digits themselves unaffected).

here's the deal:
you are interested in the hundredths place of the original number 'd'. to wit, let's write 'd' as a succession of decimal places:
d = XXXXXX.XXXX...
in this version, the orange digit is the one in which you're interested.

statement (1) concerns the number 10d, not d. when you multiply by 10, the decimal point is shifted to the right by one spot, so that the ones digit becomes the new tens digit and so on. so, with 'd' represented as above, you can write
10d = XXXXXXX.XXX...
according to statement (1), then, the orange digit is 7, so statement (1) is sufficient.

statement (2) concerns the number d/10, not d. when you divide by 10, the decimal point is shifted to the left by one spot, so that the tens digit becomes the new ones digit and so on. so, with 'd' represented as above, you can write
d/10 = XXXXX.XXXXX...
according to statement (2), then, the orange digit is 7, so statement (2) is sufficient.

hth.
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