Jason deposits money at a bank on a Tuesday and returns to the bank 100 days later to withdraw the money. On what day of

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Thu Nov 19, 2020 5:13 pm

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Jason deposits money at a bank on a Tuesday and returns to the bank 100 days later to withdraw the money. On what day of the week did Jason withdraw the money from the bank?

(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday

OA D

Source: Manhattan Prep

Source: Beat The GMAT — Problem Solving | Thu Nov 19, 2020 5:13 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: Jason deposits money at a bank on a Tuesday and returns to the bank 100 days later to withdraw the money. On what da

by swerve » Sat Nov 21, 2020 11:28 am

BTGmoderatorDC wrote: ↑
Thu Nov 19, 2020 5:13 pm
Jason deposits money at a bank on a Tuesday and returns to the bank 100 days later to withdraw the money. On what day of the week did Jason withdraw the money from the bank?

(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday

OA D

Source: Manhattan Prep

We can create a timeline here. Note: Jason returns to the bank $100$ days later. This cycle starts on Wednesday.

$1=$ Wed
$2 =$ Thu
$3=$ Friday
$4 =$ Sat
$5=$ Sun
$6=$ Mon
$7 =$ Tue

$100$ days can be coverts as follows

$= 14 \cdot 7 + 2 = 100$ days.

So, the 98th day will be Tuesday, the last day of the cycle but we need to add 2 more days.

So, Tue + Wed + Thursday.

Therefore, D

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Jason deposits money at a bank on a Tuesday and returns to the bank 100 days later to withdraw the money. On what da

by Scott@TargetTestPrep » Wed Nov 25, 2020 8:21 am

BTGmoderatorDC wrote: ↑
Thu Nov 19, 2020 5:13 pm
Jason deposits money at a bank on a Tuesday and returns to the bank 100 days later to withdraw the money. On what day of the week did Jason withdraw the money from the bank?

(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
(E) Friday

OA D

Solution:

Note that 7 days after he deposits the money, it is again Tuesday, and every number of days that is a multiple of 7 will again be Tuesday. Thus, we see that 7 x 14 = 98 days later it is a Tuesday. Thus, the 99th day is Wednesday, and the 100th day is Thursday.

Answer: D

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