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
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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We can create a timeline here. Note: Jason returns to the bank \(100\) days later. This cycle starts on Wednesday.BTGmoderatorDC wrote: ↑Thu Nov 19, 2020 5:13 pmJason 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
\(1=\) 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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Solution:BTGmoderatorDC wrote: ↑Thu Nov 19, 2020 5:13 pmJason 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
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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