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655-705 Level|   Math Related|         
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GMAT Club Olympics 2025 (Day 7): At exactly 3:00 PM on a Monday 09 Jul 2025, 04:43
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Launch = 26 + 24*integer
98 = 26 + 24*3, so 98 matches

Questionnaire must be at least 98+16=114
Add 24 until we find an option: 114+24=138 matches

The right answers:
Launch = 98
Questionnaire = 138
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launch = 24a + 2, with a>=1
launch - 2 is a multiple of 24

Checking the options:
98(a=4) -> correct
146(a=6) -> it's impossible because it's the greatest number and questionnaire must be greater than launch

questionnaire = 24b + 18, with b>=4
questionnaire can be:
114(b=4) -> not in the options
138(b=5) -> correct

Launch = 98 and Questionnaire = 138
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Bunuel
 


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At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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Approval = 3.00 PM on day Monday
Launch = 5.00 PM after day X after Monday
Questionnaire = 9.00 AM after Launch Day

Answer choices
42, 66, 84, 98, 138, 146


Approval to Launch timelines
5.00 PM [Day N] - 3.00 PM [Monday]= 2 hours + 24 x day difference
Hence the timeline starts from 2 + 24 hours = 26 hours ---- [ as the Launch did not happen that Monday]

Possible time of Launch can be
26 hours
50 hours
74 hours
98 hours
122 hours
146 hours

Only 98 matches

Approval to Questionnaire timelines
9.00 PM [Day M] - 3.00 PM [ Monday] = 18 hours + 24 x day difference
Hence the timeline starts from Launch + 2 hours = 42 hours ---- [ as the Questionnaire was sent after Launch]

Possible time of Questionnaire can be
42 hours
66 hours
90 hours
114 hours
138 hours
162 hours

From the answer choices we get

Launch --> 98 hours
Questionnaire --> 138 hours
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The launch happens at 5:00PM anyday after the 3:00PM decision on Monday.
So, everyday after monday, at 3:00PM, \(24k_1\) hours will have passed since the decision (here \(k_1\) is the number of days since Monday. It can be any integer, \(k=0,1,2....\)). The launch happens at 5:00PM, which is \(2\) hours from 3:00PM.
Therefore, hours passed since decision to launch \(= 24k_1+2\)
Let's see which of the answer choices give us an integer value for \(k_1\)
When \(24k_1+2=98\), \(k=4\).
Therefore, correct option in the Launch column is \(98\).

Similarly, for the questionnaire, the hours passed since the decision will be \(24k_2+18\) (because there is a gap of \(18\) hours from 3:00PM to 9:00AM. \(k_2\) is the number of days passed from the decision to the questionnaire)
When \(24k_2+18 = 138\), \(k_2=5\),
Therefore, correct option for the Questionnaire column is \(138\).
We also get integer values for \(k_2\) when setting \(24k_2+18\) equal to \(42\) and \(66\), but these values for \(k_2\) are less than \(k_1\), which is impossible because the questionnaire takes place after the launch. So, \(k_2>=k_1\).
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98, 138. Used the options for getting remainders as 2 and 6. after the 24 hrs cycle, as that give you days, remainder is the addition in time or hours.
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At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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Launch :
It happens at 5 PM, which is 2 hrs after 3 PM + no. of days
So possible hrs = 2 + 24k ( k >= 1, since launch is after monday)
Only 98 ( k = 4 ) and 146 ( k = 6 ) are eligible values from options

Questionnaire :
It is sent at 9 AM, which is 6 hrs before 3 PM + no. of days
So possible hrs = -6 + 24m ( m >= 1, since questionnaire is after launch)
Only 42 ( m = 2 ), 66 ( m = 3 ), and 138 ( m = 6 ) are eligible values from options

Since the questionnaire must come after the launch, the only possible combination is
Launch = 98 hrs & Questionnaire = 138 hrs
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Approal time: 3:00 PM
Launch: 5:00 PM on some day after that Monday

then it would be 24X+2 where X can be 0,1,2,3....
Values can be 2, 26, 50, 74, 98, 122 ... 98 is in option

customer questionnaire: 9:00 AM on some day after the campaign launch
Then it time after Approval time would be 98+ 24X+ 16
values owuld be 114, 138... 138 is in option
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At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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Between 3pm to 5pm some day after it will be a minimum of 26 hours with 24 additional hour until we reach n answer matching the answer choices so by repeating the process we reach 98 hours for the launch. and the questionnaire will be sent at least 16 hours after 98 hours with every additional 24 hours. Since 98+16=114 is not in choices so we add 24 hours more which gives us 138
Ans D, E
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Correct Answer: Launch hours= 98 hours and Questionnaire hours= 138 hours
Let's check Launch hours first:
Launch must be done after Monday so we need to add 24 hours, also launch is done at 5PM so we need to add 2 hours more as because starting time was 3PM.
So we need to check with options
42- Not possible
66- Not possible
84- Not possible
98- It is correct, 24*4= 96 hours + 2 hours= 98 hours it’s on Friday.
138- Not Possible
146- Not possible as because after this there is questionnaire round too.

Now we will check for questionnaire round:
Here we need to add 24 hour + 18 hour as because it is on 9AM .
42- Not possible as it comes earlier than launch round.
66- Not possible as it comes earlier than launch round.
84- Not possible
98- This is for launch round.
138- This is correct as 24*5= 120 + 18 hours, it's on Saturday
146- Not possible.
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Time difference between Monday 3 PM and Launch on a given day at 5 PM : 26 + 24x where x>=0.
98 is the first and only value in the options which satisfies this relationship.
Hence, time difference between launch and Monday 3PM = 98 hours

Time difference between launch and sending questionnaire can be expressed as 16+ 24x where x>=0
From Monday 3PM to sending questionnaire: 98 + 16 + 24x.
From the options, 138 satisfies this relationship.

Answers:
Launch: 98
Questionnaire: 138

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At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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Monday 1300 to Tuesday 1700 which is the earliest the campaign could be launched is 26 hours, Wed 50 hours and so on..... 26, 50, 74, 98, 122, 138....
From the above find an option that is 16 hours apart from one of the choices above or 16+24 or 16+48 and so on....
The only options are 98 for Launch number and 138 for Questionnaire
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At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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Exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan
Campaign would be launched at 5:00 PM on some day after that Monday
Questionnaire would be sent at 9:00 AM on some day after the campaign launch

Our possible given options from which we are to choose the hours are 42,66,84,98,138 and 146

Launch is the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch
=> The possible launch hours = 2 + 24* a where a is the number of days after the launch plan when campaign is done
=> Possible launch hours can be 26, 50, 74, 98, 122, 146 etc.
Out of these values, 98 and 146 are our from given options, hence only they are valid
We know that, questionaire should be sent after campaign and from our given options 146 is the highest possible which means launch cant have it as a possibility

Only poossible value for launch = 98

Questionnaire is the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent
=> The possible launch hours = 18 + 24* (b-1) where b is the number of days after the launch plan when questionaire is sent
=> Possible launch hours can be 18, 42, 66 ,90, 114, 138, 162 etc.
Out of these values, 42,66 and 138 are from our given options, hence only they are valid

We know that questionaire is after campaign => questionaire should be done after the first 98 hrs and 138 is the only option which satisfies it

Launch = 98
Questionaire = 138
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Given,
decision Time: Monday, 3:00 PM

Campaign Launch (5:00 PM on a day after Monday):
  • Tuesday 5:00 PM: 24 hours (to Tue 3 PM) + 2 hours = 26 hours.
  • Wednesday 5:00 PM: 26 + 24 = 50 hours.
  • Thursday 5:00 PM: 50 + 24 = 74 hours.
  • Friday 5:00 PM: 74 + 24 = 98 hours.
  • Saturday 5:00 PM: 98 + 24 = 122 hours.
  • Sunday 5:00 PM: 122 + 24 = 146 hours.
Customer Questionnaire Sent (9:00 AM on a day after campaign launch):
  • Tuesday 9:00 AM: 24 hours (to Tue 3 PM) - 6 hours = 18 hours.
  • Wednesday 9:00 AM: 18 + 24 = 42 hours.
  • Thursday 9:00 AM: 42 + 24 = 66 hours.
  • Friday 9:00 AM: 66 + 24 = 90 hours.
  • Saturday 9:00 AM: 90 + 24 = 114 hours.
  • Sunday 9:00 AM: 114 + 24 = 138 hours.

If Launch is 98 hours, the Questionnaire must be sent after that.

Looking at the possible options, 138 hours is after 98 hours.

If Launch is 146 hours, the Questionnaire must be sent after that. None of the given Questionnaire options are after 146 hours.

Launch: 98 hours
Questionnaire: 138 hours


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At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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Possible values between 3:00Pm monday and the launch day 5:00Pm some other day

3:00 pm monday to 3:00 pm tuesday= 24 hrs
3:00 pm monday to 5:00 pm tuesday= 26hrs
3:00 pm mnday to 5:00pm wednesday= 50hrs
3:00pm monday to 5:00pm thursday = 74 hrs
3:00pm monday to 5:00pm friday = 98hrs

98 hrs is available among the options for the launch after monday's decision

Hours after monday's decision to issue of questionnaire

5:00 pm on friday to 5:00 am on saturday = 12 hrs
5:00 am Saturday to 9:00 am saturday = 4hrs

Total hrs = 16hrs

98+ 16= 114 not in the option

9:00 am saturday to 9:00 am sunday is an additional 24 hrs

114+24= 138 This is available in the options.
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[color=#000000]Launch[/color][color=#000000]Questionnaire[/color]
[color=#000000]42[/color]
[color=#000000]66[/color]
[color=#000000]84[/color]
[color=#000000]98[/color]
[color=#000000]138[/color]
[color=#000000]146[/color]


3:00 pm Monday: Launch
5:00 pm after monday:Campaign
9:00 am after campaign: Customer questionnaire

Hours between 3:00 pm and 5:00 pm (launch and campaign)

if assumed it is done the very next day
Tuesday:
3:00pm-5:00pm
24+2=26 hours not an option
Wednesday:
3:00pm (Mon)-5:00pm(Wed)
26+24=50 hours not option
Thursday
3:00pm (Mon)-5:00 pm (Thur)
50+24=74 Not option
Friday
3:00pm (Mon)-5:00 pm (Thur)
74+24=98 (yes) So release on friday)

Campaign-customer questionnaire 5:00pm-9:00am

Hours: 12+4=16 hours

Total
Sat
3:00 (Monday)-9:00 am( sat)
98+16=114
Sun
3:00 (monday)-9:00 am (sun)
114+24=138 (Yes)

Answer:

[color=#000000]Launch[/color][color=#000000]Questionnaire[/color]
[color=#000000]42[/color]
[color=#000000]66[/color]
[color=#000000]84[/color]
yes[color=#000000]98[/color]
yes[color=#000000]138[/color]
[color=#000000]146[/color]
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3pm -> 5pm the next day is multiple of 24hrs cycle + 2hrs - Only 98 = 24*4 + 2 works
3pm -> 9am on someday following the 5pm campaign launch is 98hrs + Multiple of 12hrs + 4hrs - Only 138 works: 98 + 12*3 + 4
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3PM Monday to 5PM Tuesday=26 hours
3PM Monday to 9am wednesday=42 hours
26+24(k) , from the given option 98 goes
26+24(3) so this can be friday
and accordingly sun morning 9am fit with 138 hours from the launch
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Question strategy: To be more efficient, we must find the "law/rule" for each of the number of hours we must find and then go for a backsolving approach.

Finding patterns: If decision is on monday at 15:00 and launch is at 17:00, the number of hours between them will follow 2 + 24d hours, where d is number of days. So we have a multiple of 24 + 2. In same logic, the number of hours to the questionaire at 09:00 will follow 18 + 24D hours. So it will be a multiple of 24 + 18

Backsolving, we find 98 and 139 respectively

----------------------
At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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At exactly 3:00 PM on a Monday, the marketing team finalized and approved the launch plan for a new campaign and the following evaluation process. The campaign would be launched at 5:00 PM on some day after that Monday, and the customer questionnaire would be sent at 9:00 AM on some day after the campaign launch.

In the table, select for Launch the number of hours between the 3:00 PM decision on Monday and the 5:00 PM campaign launch, and select for Questionnaire the number of hours between the decision on Monday and the 9:00 AM time the questionnaire is sent that would be jointly consistent with the given information. Make only two selections, one in each column.
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So, in first case it creates a sequece wehre time can be represented as 24h + 2. and in second as 24x + 18. we have to just find some number h and x where h<x so that they satisfy. when we see the table and try to plot them here we get 96 and 138
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