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Updated on: 21 May 2026, 11:21
Originally posted by Sajjad1994 on 01 Mar 2022, 08:00.
Last edited by Bunuel on 21 May 2026, 11:21, edited 5 times in total.
Last edited by Bunuel on 21 May 2026, 11:21, edited 5 times in total.
800 score;Moved to new forum
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Team 2 but
not team 3: Olga Any
team: Lea
not team 3: Olga Any
team: Lea
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
72% (03:16) correct
28%
(03:28)
wrong
based on 663
sessions
History
Date
Time
Result
Not Attempted Yet
Source: 800 score
9 runners—Lea, May, Nora, Olga, Pat, Queta, Rhea, Sue, and Tia—are divided into 3 relay teams. The 3 fastest runners are placed on team 1, the 3 slowest runners on team 3, and the remaining 3 runners on team 2.
No two runners run at the same speed. May runs faster than Queta. Queta runs faster than both Olga and Lea. Lea runs faster than both Sue and Nora. Tia runs slower than Olga. Rhea runs slower than Tia. Rhea runs faster than Pat.
Select the runner who could be on team 2 but not on team 3, and select the runner who could be on any team.
|
Team 2 but not team 3 |
Any team |
---------- |
| Lea | ||
| Nora | ||
| Olga | ||
| Rhea | ||
| Sue | ||
| Tia |
ShowHide Answer
Official Answer
Team 2 but
not team 3: Olga Any
team: Lea
not team 3: Olga Any
team: Lea
01 Mar 2022, 11:18
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Team 2 but not team 3 - Olga.
Any team - Lea.
1. May runs faster than Queta -> M>Q
2. Queta runs faster than both Olga and Lea. Q > O & L
3. Lea runs faster than both Sue and Nora. L > S & N
4. Tia runs slower than Olga. O > T
5. Rhea runs slower than Tia. T > R
6. Rhea runs faster than Pat. R > P.
From above statements, M and Q are two fastest, so they will be in team 1.
From 4,5 and 6, definitely there are 3 persons who are slower than O, so O will not be in team 3.
From above statements it can also be seen that L can be in any team.
Posted from my mobile device
Any team - Lea.
1. May runs faster than Queta -> M>Q
2. Queta runs faster than both Olga and Lea. Q > O & L
3. Lea runs faster than both Sue and Nora. L > S & N
4. Tia runs slower than Olga. O > T
5. Rhea runs slower than Tia. T > R
6. Rhea runs faster than Pat. R > P.
From above statements, M and Q are two fastest, so they will be in team 1.
From 4,5 and 6, definitely there are 3 persons who are slower than O, so O will not be in team 3.
From above statements it can also be seen that L can be in any team.
Posted from my mobile device
01 Mar 2022, 12:36
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Let the first letter of each of the runners' names be their respective speeds.
Then, from the problem statement we can write the following relations:
1) m>q>o>t>r>p
2) m>q>l>s
3) m>q>l>n
i) From relations 1, 2 and 3, we can clearly see of all runners Olga (with speed o) could be on Team 2 (but never team 3) since there are 3 runners slower than her.
ii) Also from relations 1,2 and 3 we can say that Lea (with speed l) could be on any team (i.e. Team 1, Team 2 or Team 3) depending on her speed relative to others. For example if l > o (Lea is on Team 1); if o > l > at least one among t, r, p (Lea is on Team 2); and if p>l (Lea is on Team 3)
Then, from the problem statement we can write the following relations:
1) m>q>o>t>r>p
2) m>q>l>s
3) m>q>l>n
i) From relations 1, 2 and 3, we can clearly see of all runners Olga (with speed o) could be on Team 2 (but never team 3) since there are 3 runners slower than her.
ii) Also from relations 1,2 and 3 we can say that Lea (with speed l) could be on any team (i.e. Team 1, Team 2 or Team 3) depending on her speed relative to others. For example if l > o (Lea is on Team 1); if o > l > at least one among t, r, p (Lea is on Team 2); and if p>l (Lea is on Team 3)
