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A maritime shipping company sends out at least 1 ship ship every day.

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A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:00
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A maritime shipping company sends out at least 1 ship ship every day. For a certain seven days, is the total number of the ships departed more than 25?

(1) In one of the seven days, 20 ships departed.
(2) The numbers of ships departed are different each day.

 This question was provided by Math Revolution for the Game of Timers Competition

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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:17
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A maritime shipping company sends out at least 1 ship ship every day. For a certain seven days, is the total number of the ships departed more than 25?

(1) In one of the seven days, 20 ships departed.
Since in one of the seven days 20 ships departed, and from question stem we know atleast one ship departed each of the other 6
days. Total ship departed is atleast 26 - Sufficient

(2) The numbers of ships departed are different each day.
If number of ships departed each day are different, the least number of ship that will depart in those 7 days are 1+2+3+4+5+6+7
= 28. hence it is Sufficient

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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:09
1
Statement 1 shows that min of 26 ships will go in 7 days - Sufficient

Statement 2 conveys that if we consider 1+2+3+4+5+6+7 different number of ships each day then also the sum is > 25

Option is D

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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:18
1
IMO answer is D

from 1: let d1, d2, d3, d4, d5, d6 ,d7 be the number of ships on each day.
therefore as one of the days has 20 ships departed, and rest of the days atleast 1 ship departed, total least number = 20+6*1 = 26>25, so suff
from 2: d1,d2,d3...d7 each are different and all numbers are >1
so, least number is 1,2,3,4,5,6,7, total number = 1+2+3+4+5+6+7 >25 , so suff
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:18
1
Each statement independently sufficient.

Case A#
Day 1 2 3 4 5 6 7
Let on day 1 20 ships departed then on the remaining 6 days at least 6 ships departed, so (20+6)>25, Sufficient

Case B#
Day 1 2 3 4 5 6 7
Minimum possible number of ships as per the conditions= Sum(1 to 7)=> 28 which is >25, Sufficient
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:19
1
IMO : D

A maritime shipping company sends out at least 1 ship ship every day. For a certain seven days, is the total number of the ships departed more than 25?

(1) In one of the seven days, 20 ships departed.
(2) The numbers of ships departed are different each day.

1: (at least 1 ship each day and 20 on one day):

day1:20
day2:1
day3:1
day4:1
day5:1
day6:1
day7:1

=20+6=26 thus it is sufficeint.

2:
different number everyday (at least 1 ship each day):

day1:1
day2:2
day3:3
day4:4
day5:5
day6:6
day7:7

total=28 thus sufficient.
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:21
1
1) One of the 7 days, 20 ships departed.
If only one ship departed on all remaining 6 days, total ships depated = 26 (>25). Sufficient.

2) The numbers of ships departed are different each day. Given atleast 1 ship departs each day, minimum possible number of ships that departed in 7days = 1+2+3+4+5+6+7=28(>25). Sufficient.

Hence option D
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:25
1
Is X > 25, Yes or No

X = total number of ships departed, one ship is sent out each day. Going to be integers > 0

I went with D.

1) one day is at least 20, Sufficient
M = 20
T = 1
W = 1
TH = 1
Fri = 1
S = 1
S = 1

Total = 26 at the minimum

2) The numbers of ships departed are different each day. Sufficient

at the very minimum you will have 1,2,3,4,5,6,7, each number representing a day of the week. Sum together and you get 28
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:25
1
(1) In one of the seven days, 20 ships departed.

If 20 ships departed on first day, and if we consider 1 ship each day then the total no of ships departed will be more than 25

Hence sufficient

(2) The numbers of ships departed are different each day.

The pattern will be 1+2+3+4+5+6+7 = 28

Hence sufficient

Answer should be D.
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:30
1
A) lets assume one first day 20 ships departed , then considering least number for rest of the days (which is 1) we get 6 ships in 6 days ; so total atleast 26 ships would depart in 7 days ; Suff

B) different number of ship departing each day will have min 28 ships : Suff

D ans
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:32
1
IMO Answer is (D)
Question asks for Sum of numbers of ships sent in a certain seven day period.

1) 20+1+1+1+1+1+1 =26 > 25 (Reasoning - At least one ship sent each day hence the minimum value for each of remaining six days is 1)

2) As all seven days have different values having at least a value of '1' for one of the seven days. Thus, the minimum numbers possible for other six remaining days are 2,3,4,5,6,7.
Therefore sum of 1+2+3+4+5+6+7 i.e. 28 >25

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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:32
1
given: each day ships departed >= 25
1. In one of the seven days, 20 ships departed.
So, if we assume minimum ships were departed on other six days i.e. 1 each day
then total ships departed in 7 days= 20+6=26 >25. Sufficient
2.The numbers of ships departed are different each day
Say, number of ships departed are 1,2,3,4,5,6,7 for seven days
Sum=28>25. Sufficient

Hence D
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:33
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Given that: at least 1 ship departs everyday for 7 days
To find if the ships is greater than 25 for a 7 day period

Statement 1: 20 ships departed in one day and if at least 1 ships departs every other day
therefore, 20 + 6 > 25
This is sufficient - AD

Statement 2: the numbers departed are different on each day and at least one must depart on each day from the general information
if for instance, the following happens;
Day 1 = 1
Day 2 = 2
Day 3 = 3
Day 4 = 4
Day 5 = 5
Day 6 = 6
Day 7 = 7

We will have a total of 28 > 25

Thus, this is sufficient

Hence answer choice D.
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:34
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A maritime shipping company sends out at least 1 ship ship every day. For a certain seven days, is the total number of the ships departed more than 25?

Fairly simple question, all we are looking for is the total number of ships departed more than 25, given the fact that a minimum of 1 ship is departing every day.

Let's see the statements

(1) In one of the seven days, 20 ships departed.
So even if the other days at least 1 ship is departed then the number is more than 25. hence the answer is YES. this is sufficient.

(2) The numbers of ships departed are different each day.
Let's take the worst-case scenario. Please see the numbers will be integers only as there is no concept of half ship departed.
So taking only the consecutive numbers from 1 to 7, the total is more than 25, hence the answer is YES. This statement is sufficient.

Both give us YES, Hence the answer is D.
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:35
1
Quote:
A maritime shipping company sends out at least 1 ship ship every day. For a certain seven days, is the total number of the ships departed more than 25?

Let us analyze the information given in the task.
Time = 7 days
Each day, we have at least 1 ship departing. It means, that we have at least 7 ships departed for 7 days.
Our goal is to find out if the number of ships is more than 25? Is N (number of ships) > 25?

Let us analyze each statement separately first.

Statement 1:
(1) In one of the seven days, 20 ships departed.

It means that in day 1, let us say, 20 ships departed. We also have 7 - 1 = 6 other days, when there was at least one ship departed. It clearly means that we have at least N = 20 + 6 * 1 = 26 ships departed during the week. 26 > 25
Thus, the statement 1 is sufficient to solve the question.
Sufficient.

Statement 2:
(2) The numbers of ships departed are different each day.

If numbers of ships are different each day, and each day at least one ship is departed, the minimum number of ships would be N = 1 + 2 + 3 + 4 + 5 + 6 + 7
N = 28 > 25
As we can see, statement 2 alone is also sufficient. Thus, both statements separately are sufficient

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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:35
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A maritime shipping company sends out at least 1 ship ship every day. For a certain seven days, is the total number of the ships departed more than 25?

(1) In one of the seven days, 20 ships departed.
(2) The numbers of ships departed are different each day.

Given: A maritime shipping company sends out at least 1 ship ship every day.
Asked: For a certain seven days, is the total number of the ships departed more than 25?

(1) In one of the seven days, 20 ships departed.
Since the maritime shipping company sends out at least 1 ship ship every day. In each of the other days, minimum ships departed=1
Total minimum number of ships departed in 7 days = 20+1+1+1+1+1+1 =26>25
SUFFICIENT

(2) The numbers of ships departed are different each day.
Since the maritime shipping company sends out at least 1 ship ship every day & The numbers of ships departed are different each day.
Minimum number of ships departed in 7 days = 1+2+3+4+5+6+7= 28>25
SUFFICIENT

IMO D
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:36
Each alone is sufficient as the number will always be greater than 25

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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:37
1
A maritime shipping company sends out at least 1 ship ship every day. For a certain seven days, is the total number of the ships departed more than 25?

(1) In one of the seven days, 20 ships departed.
We know that at least 1 ship sails every day, on a total of 7 days. Therefore, on 6 days a total of 6 ships sail.
Considering that on 1 of the 7 days 20 ships sail, that means:
Total sailed: 6 + 20 = 26.
Can determine if "ships departed" > 25

SUFFICIENT

(2) The numbers of ships departed are different each day.
Since there are 7 days and we know that at least 1 ship must sail every day, the least number of ships can be:
1 + 2 + 3 + 4 + 5 + 6 + 7 = 28.
Can determine if "ships departed" > 25

SUFFICIENT

Therefore, I believe the answer choice should be D.
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:38
1
D

We know atleast one ship is departed each day.

(1) In one of the seven days, 20 ships departed.

One day 20 ships departed, and remaining 6 days minimum 6 ships are departed, so minimum 26 ships are departed - Sufficient

(2) The numbers of ships departed are different each day.

We know minimum 1 ship is departed each day. In order for different ships being departed each day, minimum ships have to be 1+2+3+4+5+6+7 = 28 - Sufficient
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Re: A maritime shipping company sends out at least 1 ship ship every day.  [#permalink]

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16 Jul 2019, 07:38
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IMO : D
(1) In one of the seven days, 20 ships departed. : We are left with 6 days, Consider lowest no , of ships departed i.e 1 *6 +20 = 26, >25, So sufficient
(2) The numbers of ships departed are different each day. : Only possible way is 1,2,3,4,5,6,7 =28 >25 Sufficient

So both are individually sufficient to answer
Re: A maritime shipping company sends out at least 1 ship ship every day.   [#permalink] 16 Jul 2019, 07:38

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