1. This site uses cookies. By continuing to use this site, you are agreeing to our use of cookies. Learn More.

Puzzled numbers

Discussion in 'Forum games' started by habalala, Jun 9, 2019.

Dear forum reader,

if you’d like to actively participate on the forum by joining discussions or starting your own threads or topics, please log into the game first. If you do not have a game account, you will need to register for one. We look forward to your next visit! CLICK HERE
  1. habalala

    habalala Forum Freak

    Solution to game #16

    They had to make 24 the one way or the other.
    One Two found both ways and rightfully gets rewarded a point. Well done!!

    silim 4.5 pts
    -Mir85- 4 pts
    12ss12 4 pts
    Elemeef 2 pts
    puppiesnponies 1.5 pts
    illy1996 1 pts
    xristos 1 pts
    SahraB 0.5 pts
    foreverokc21 0.5 pts

    Game #17

    I had a dream of being an international popstar and I'm somewhere in a room on the 15th floor in a hotel. Everything was fine, my intention was to leave at 11:30 AM and to walk from the hotel to the stadium, which would've taken half an hour. But I slept in way too long and woke up an hour later! Daily routines to get started took me 23 minutes, sandwich and coffee took me another 5 minutes each. I really start to worry now and am afraid not to be in time at exactly 2:15 PM for a 10 minutes performance during a Super Bowl.
    I hurry towards the hall and wait half a minute for the elevator before I decide to take the stairs. There are 2 stairs between each floor and each stair takes me 5 seconds on average. Being in a hurry now and knowing that a car is 10 times faster, I jump in a taxi in front of the hotel. This cab leaves immediately and drives in a constant speed towards the stadium but after driving two third of the distance we get stuck in a long pile up. During the remaining part of the journey I noticed that pedestrians on average pass by 3 times the length of the car in the time the cabdriver moves forward by one carlength. Did I save time by taking a taxi? At what time did the taxi arrive at the stadium and how many minutes after that do I walk away from the stage after my awesome performance?

    Explain, do specify.
     
  2. illy1996

    illy1996 Emperor of the Forum

    You probably did save time initially by taking the taxi but lost all that you had gained in the last third of the journey and it took 32 minutes to arrive at the Stadium instead of 30 if you had walked. The first two thirds of the journey in the taxi should take 2 minutes [20 minutes/10 = 2 minutes]. If it should have taken 30 minutes by foot, the last third - 10 minutes - can be walked in 10 minutes and the pedestrians are passing you three times the length of the car for each car length moved so that multiplies the car time by 3 making that 30 minutes.

    The taxi should have arrived at the Stadium at 13h36m giving you plenty of time to prepare for your big performance.

    If you didn't have too many encores, you should walk away from the stage at 14h25.

    Of course, if this is a dream, time doesn't behave in the same way and, if you are in a hurry, your feet will stick to the ground like walking on candy floss and you will get stuck in the taxi! If you make it to the concert, you will forget to get dressed and be so ashamed, you will run off the stage vowing never to return! xD

    Edit: I changed my mind a few times so not sure where you are now! :eek:
     
    Last edited: Jul 9, 2019
    silim, habalala, 12ss12 and 4 others like this.
  3. There are some uncertainties, however I will give it a try.
    I assume that you left the room at 13:45, half an hour before the planned performance, otherwise why be worried?
    Time to wait for elevator and go down 2x15 stairs=30sec+2*15*5= 180sec (2 minutes).
    Time for 2/3 of journey with taxi= 2/3*(30/10)= 2 min
    Time for 1/3 of journey slow taxi= 1/3*(30*3) = 30 min
    Total taxi time is 32 minutes (same as illy1996)
    Arrival at stadium 14:19, 4 minutes late
    Walk away from the stage 10 minutes later, at 14:29.

    ps:
    15th floor in UK is not 15th floor in US :p
     
    silim, habalala and 12ss12 like this.
  4. 12ss12

    12ss12 All knowing Oracle

    That I agree. And 15th floor in India is also not same as 15th in US.


    I am giving it a skip as two of our friends have given answers.
     
  5. habalala

    habalala Forum Freak

    Great attempts!
    I see some good and some bad figures but no 100% accurate post yet.

    I left the room, showered, shaved and dressed, right after having my sandwich and coffee. As Illy concluded, I arrived in time (but not at that time) and I still had some time left prior to the performance to do everything else needed. Do note that he last question asked is about the preparation time and not about the time I left the stage, which I recall as being 2:25 PM sharp. Can't mess with the Super Bowl directors.
     
    Last edited: Jul 9, 2019
    silim, 12ss12 and xristos-ale3andros like this.
  6. I knew I had at least one missing hour that could not be explained.
    Ok..
    If my original plan was to leave at 11:30 and I woke up one hour later means that I woke up at 12:30.
    Preparations took 23+5+5=33 minutes.
    Then the waiting of the elevator for 30 sec + the 2*15 stairs with 5 seconds each make 180 seconds (3 minutes)
    Time for 2/3 of journey with taxi= 2/3*(30/10)= 2 min
    Time for 1/3 of journey slow taxi= 1/3*(30*3) = 30 min

    That would lead to a total of 33+ 3+2+30=68 minutes from 12:30.
    Arrival at the stadium would then be at 12:30+1:08= 13:38.... maybe?

    You left the stage at 14:25, so the answer to the last question would be 14:25-13:38= 47 minutes.
     
    Last edited: Jul 9, 2019
    silim, 12ss12 and habalala like this.
  7. habalala

    habalala Forum Freak

    One more question for you Xristos. Do you happen to be that security person who managed to follow me step by step?

    You did a good job on the math and gain a point. I'll grant Illy 0.5 point as well because she's cool and funny and figured out walking would've been faster.

    I'll try to post the listing and a new puzzle sometime on thursday.
     
    silim, xristos-ale3andros and 12ss12 like this.
  8. illy1996

    illy1996 Emperor of the Forum

    I did have that answer originally but I also only counted 14 "gaps" between floors in my original answer - had it in my head that was the "trick" part of the question. I stopped adjusting my answer when Xristos-ale3andros posted his/her answer. :p
    Well done Xristos-ale3andros and thank you Habalala- that one really made me think. :music:
     
    silim, 12ss12, habalala and 1 other person like this.
  9. habalala

    habalala Forum Freak

    Solution to game #17

    Walking the whole distance would've taken 30 minutes.
    2/3 of the drive would've taken (2/3 of 30) = 20 minutes walking.
    A car goes 10 times faster so 2/3 of the drive took 2 minutes.
    All in all, going by taxi took 32 minutes.
    A loss in time of 2 minutes

    Departure (planned) at 11:30 AM -> (sleep + 1hr) 12:30 AM -> (start up + 23 min) 12:53 AM -> (snack + 10 min) 1:03 PM -> (getting downstairs + 30+15*2*5 sec = 180 sec = 3 min) 1:06 pm
    Taxi arrival at (1:06 PM + 32 min) = 1:38 PM
    My performance is over at 2:25 PM, which is 47 minutes after taxi arrival

    silim 4.5 pts
    -Mir85- 4 pts
    12ss12 4 pts
    xristos 2 pts
    Elemeef 2 pts
    puppiesnponies 1.5 pts
    illy1996 1.5 pts
    SahraB 0.5 pts
    foreverokc21 0.5 pts


    Game #18

    Do you still have the basics of number sequences? Provide the next three # in these rows.

    A. 1, 1, 2, 3, 5, 8, 13, #, #, #
    B. 1, 2, 3, 4, 5, 8, 7, 16, #, #, #
    C. 2, 4, 8, 14, 22, #, #, #
    D. 6, 2, 1, 3, 8, #, #, #
     
    silim, xristos-ale3andros and SahraB like this.
  10. SahraB

    SahraB Forum Great Master

    I'm just trying...:)

    A. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
    B. 1, 2, 3, 4, 5, 8, 7, 16, 9, 32, 11
    C. 2, 4, 8, 14, 22, 32, 44, 58
    D. 6, 2, 1, 3, 8, 4, 5, 7
     
  11. habalala

    habalala Forum Freak

    Thanks for a good try Sahra and I think I do understand the logic used in ABC. Would you please be so kind to explain row D?
     
    silim and xristos-ale3andros like this.
  12. SahraB

    SahraB Forum Great Master

    First you have to tell me if my answers are correct.
     
  13. habalala

    habalala Forum Freak

    Sure!

    A. add up last two numbers = correct
    B. +2 on uneven numbers, *2 on even numbers = correct
    C. every addition +2 on previous addition = correct

    Your D. is different from what I figured out but I can't and will not exclude another logical sequence.
     
    silim and xristos-ale3andros like this.
  14. SahraB

    SahraB Forum Great Master

    It was not difficult to solve AB and C.

    But D was different from the other. Then I realized that these numbers are in a specific sequence (like Sudoku).
    For row D, I thought I didn't answer correctly. Thank you!
     
  15. illy1996

    illy1996 Emperor of the Forum

    I'll have a go at D

    D. 6, 2, 1, 3, 8, 4, 3, 5
    Add 2 to each of the first four numbers. :p
     
  16. habalala

    habalala Forum Freak

    Nice try Illy but as Sahra found out D. is a little more complicated

    <friendly grin>

    I'll post a hint tomorrow when a solution doesn't show up in the meantime.
     
    silim and xristos-ale3andros like this.
  17. I think..
    D. 6, 2, 1, 3, 8, 16, 27, 41
    Add to the previous number -4, -1, +2, +5, +8, +11, +14... incremented by +3 on each term
     
    habalala and silim like this.
  18. silim

    silim Someday Author

    D- 6,2,1,3,8, 4,1,2
     
    habalala and xristos-ale3andros like this.
  19. habalala

    habalala Forum Freak

    You did think very well again xristos! Good job on finding the 2 steps answer!

    Before going on with a new puzzle I like to ask Silim to explain his solution as his D. is different from what xristos and I figured out and I can't and will not exclude another logical sequence.

    Edit:
    Okay, can't judge on Silim's answer so the results are: Sahra 0.5, Illy 0.5, Xristos 1 pts.

    Solution to game #18

    A. 21 (8+13) 34 (13+21) 55 (21+34) (add up last two numbers)
    B. 9 (7+2), 32 (16*2), 11 (9+2) (+2 on uneven numbers, *2 on even numbers)
    C. 32 (22+10), 44 (32+12), 58 (44+14) (every addition +2 on previous addition)
    D. 16 (8+(5+3), 27 (16+(8+3), 41 (27+(+11+3) (the outcome of the difference between two numbers +3, gives the next number)
    - in steps from the start:
    first difference = -4, add 3 -> next number is -1. last number = 2 next number = (2-1) = 1
    second difference = -1, add 3 -> next number is +2. last number = 1 next number = (1+2) = 3
    third difference = +2, add 3 -> next number is +5, last number = 3 next number = (3+5) = 8

    silim 4.5 pts
    -Mir85- 4 pts
    12ss12 4 pts
    xristos 3 pts *wins CAC or PPP, no pts reward in game #19)
    Elemeef 2 pts
    Illy1996 2 pts
    puppiesnponies 1.5 pts
    SahraB 1 pts
    foreverokc21 0.5 pts

    Game #19

    Solve the puzzle by replacing the ? with the numbers 0-9, using each number once.

    (1? + 1? + 1? - 1?) / (1?0 * 1?0) + ((1?1 - ?1) * ??) = 2313
     
    Last edited: Jul 15, 2019
    silim and xristos-ale3andros like this.
  20. silim

    silim Someday Author

    I think there is no answer to this question
     

Share This Page