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

This topic has expert replies
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

Legendary Member
Posts: 2248
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members
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

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7294
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members
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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage