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Is the hundredths digit of the decimal d greater than 5?

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by BTGmoderatorDC » Sat Aug 17, 2019 4:40 pm

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B

C

D

E

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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

OA D

Source: GMAT Prep
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Sun Aug 18, 2019 10:18 pm
BTGmoderatorDC wrote: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

OA D

Source: GMAT Prep
(1) The tenths digit of 10d is 7.

Say 10d = 0.7xyz; thus, d = 0.7xyz/10 = 0.07xyz

We see that the hundredths digit of d is 7, greater than 5. The answer is yes. Sufficient.

(2) The thousandths digit of d/10 is 7.

Say d/10 = 0.007xyz; thus, d = 0.07xyz

We see that the hundredths digit of d is 7, greater than 5. The answer is yes. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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by Brent@GMATPrepNow » Mon Aug 19, 2019 6:39 am
BTGmoderatorDC wrote: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

OA D

Source: GMAT Prep
Here's a similar question to practice with: https://www.beatthegmat.com/hundredth-digit-t280191.html

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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