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# Jason deposits money at a bank on a Tuesday and returns to the bank 10

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Math Expert
Joined: 02 Sep 2009
Posts: 55267
Jason deposits money at a bank on a Tuesday and returns to the bank 10  [#permalink]

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13 Aug 2018, 05:03
00:00

Difficulty:

15% (low)

Question Stats:

77% (00:53) correct 23% (01:12) wrong based on 74 sessions

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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

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Re: Jason deposits money at a bank on a Tuesday and returns to the bank 10  [#permalink]

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13 Aug 2018, 07:35
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Bunuel wrote:
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

100/7 = 14 Weeks + 2 Additional days after Tuesday

So, 2 Additional days after Tuesday = Thursday, Answer must be (D)
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Re: Jason deposits money at a bank on a Tuesday and returns to the bank 10  [#permalink]

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13 Aug 2018, 14:57
Bunuel wrote:
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

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*7 + 2 = 100 days.

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

So, tue + wed + thursday.

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Jason deposits money at a bank on a Tuesday and returns to the bank 10  [#permalink]

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13 Aug 2018, 22:31
Bunuel wrote:
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

What is the pattern?

Days in a calendar year has cyclicity of 7.

Reference day:- Tuesday

100=14*7+2

98th day from the reference day is Tuesday. 100th day is two days after Tuesday.

hence the 100th day is Thursday.

Ans. (D)
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Re: Jason deposits money at a bank on a Tuesday and returns to the bank 10  [#permalink]

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14 Aug 2018, 06:42

Solution

Given:
• Jason deposits money at a bank on Tuesday
• He returns to the bank, after 100 days, to withdraw the money

To find:
• The day on which he did the withdrawal

Approach and Working:
• We are given that the deposit day is a Tuesday.
• Every 7th day after the deposit day day will be a Tuesday, since there are seven days in a week.
o So, we can say that every day, which is a multiple of 7 from the day of deposit, is a Tuesday.
o The multiple of 7, that is close to 100 is 98, which is equal to 7 * 14.
o Thus, the 98th day is a Tuesday.
o Implies, the 99th day is a Wednesday and the 100th day will be a Thursday.

Therefore, he withdraws the money on a Thursday

Hence, the correct answer is option D.

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Re: Jason deposits money at a bank on a Tuesday and returns to the bank 10  [#permalink]

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03 Mar 2019, 19:48
Bunuel wrote:
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

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.

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Re: Jason deposits money at a bank on a Tuesday and returns to the bank 10   [#permalink] 03 Mar 2019, 19:48
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