DS 7

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DS 7

by kanishka12 » Sun Aug 30, 2020 6:02 am

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If 1 < d < 2, is the tenths digit of the decimal representation of d equal to 9 ?

1) d + 0.01 < 2
2) d + 0.05 > 2
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Re: DS 7

by gmatter2012 » Tue Sep 01, 2020 1:34 am
Please correct the answer , Answer is B .
KANISHKA12 please check the answers you are providing.

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Re: DS 7

by Brent@GMATPrepNow » Tue Sep 01, 2020 5:04 am
gmatter2012 wrote:
Tue Sep 01, 2020 1:34 am
Please correct the answer , Answer is B .
KANISHKA12 please check the answers you are providing.
Given: 1 < d < 2

Target question: Is the tenths’ digit of the decimal representation of d equal to 9?

Statement 1: d + 0.01 < 2
Subtract 0.01 from both sides of the inequality to get: d < 1.99
So, it could be the case that d = 1.93, in which case the answer to the target question is YES, the tenths digit is 9
Or it could be the case that d = 1.77, in which case the answer to the target question is NO, the tenths digit is not 9
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: d + 0.05 > 2
Subtract 0.05 from both sides of the inequality to get: d > 1.95
Since we already know that d < 2, we can combine these inequalities to get: 1.95 < d < 2
So, it MUST be the case that the tenths digit is 9
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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