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

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by BTGModeratorVI » Mon Dec 28, 2020 8:29 am

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Answers

A

B

C

D

E

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Difficulty—

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

Answer: B
Source: official guide
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Source: — Data Sufficiency |

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

by Brent@GMATPrepNow » Tue Dec 29, 2020 2:46 pm
BTGModeratorVI wrote: ↑
Mon Dec 28, 2020 8:29 am
 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

Answer: B
Source: official guide
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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