If m = 0.008163 and M the decimal obtained by rounding m to

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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

If m = 0.008163 and M the decimal obtained by rounding m to

by swerve » Mon Jun 04, 2018 9:11 am

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If m = 0.008163 and M is the decimal obtained by rounding to the nearest to ten thousandths, what is the value of M + m?

A. 0.0016
B. 0.016263
C. 0.016363
D. 0.162
E. 1.6

The OA is C.

Please, can anyone explain this PS question? I tried to solve it but I can't get the correct answer. I need help. Thanks.

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Source: Beat The GMAT — Problem Solving | Mon Jun 04, 2018 9:11 am

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Mon Jun 04, 2018 9:21 am

swerve wrote:If m = 0.008163 and M is the decimal obtained by rounding to the nearest to ten thousandths, what is the value of M + m?

A. 0.0016
B. 0.016263
C. 0.016363
D. 0.162
E. 1.6

Given: m = 0.008163

The digit 1 is in ten thousandth place of 0.008163
Since next digit (in the hundred thousandth position) is greater than 4, we must ROUND UP

So, when we round 0.008163 to the nearest to ten thousandth, we get: 0.0082
In other words, M = 0.0082

So, M + m = 0.0082 + 0.008163
= 0.016363

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Jun 12, 2018 10:16 am

swerve wrote:If m = 0.008163 and M is the decimal obtained by rounding to the nearest to ten thousandths, what is the value of M + m?

A. 0.0016
B. 0.016263
C. 0.016363
D. 0.162
E. 1.6

0.008163 rounded to the nearest ten thousandth is 0.0082.

So M + m is 0.0082 + 0.008163 = 0.016363.

Answer: C

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