A casino uses chips in $5 and $7 denominations only. Which of the following amounts CANNOT be paid out using these chips

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Thu Dec 03, 2020 2:44 pm

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A casino uses chips in $5 and $7 denominations only. Which of the following amounts CANNOT be paid out using these chips?

(A) $31
(B) $29
(C) $26
(D) $23
(E) $21

Answer: D
Source: Manhattan prep

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Source: Beat The GMAT — Problem Solving | Thu Dec 03, 2020 2:44 pm

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8155; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: A casino uses chips in $5 and $7 denominations only. Which of the following amounts CANNOT be paid out using these c

by Scott@TargetTestPrep » Tue Dec 08, 2020 11:16 am

BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:44 pm
A casino uses chips in $5 and $7 denominations only. Which of the following amounts CANNOT be paid out using these chips?

(A) $31
(B) $29
(C) $26
(D) $23
(E) $21

Answer: D

Solution:

In order to determine the correct answer, we need to check every answer choice (keep in mind that we are looking for the dollar amount that we CANNOT be paid out using the chips).

A) $31

Since two $5 and three $7 chips will make $31, this is not the correct answer.

B) $29

Since three $5 and two $7 chips will make $29, this is not the correct answer.

C) $26

Since one $5 and three $7 chips will make $26, this is not the correct answer.

We are now left with choices D and E. If we look at choice E, three $7 chips will make $21. Therefore, it’s not the correct answer. This leaves us with only D as the correct answer.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: A casino uses chips in $5 and $7 denominations only. Which of the following amounts CANNOT be paid out using these c

by Brent@GMATPrepNow » Tue Dec 08, 2020 11:51 am

BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:44 pm
A casino uses chips in $5 and $7 denominations only. Which of the following amounts CANNOT be paid out using these chips?

(A) $31
(B) $29
(C) $26
(D) $23
(E) $21

Answer: D
Source: Manhattan prep

We can quickly get the answer by eliminating four of the answer choices

(A) $31 = 2($5) + 3($7). ELIMINATE A
(B) $29 = 3($5) + 2($7). ELIMINATE B
(C) $26 = 1($5) + 3($7). ELIMINATE C
(D) $23 =
(E) $21 = 3($7). ELIMINATE E

Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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