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The penthouse suite of Auckland's Victoria Residences has become available. Seven married couples (including Mr. and Mrs. Officer) who are current tenants (on the 3rd, 4th, 6th, 7th, 8th, 10th, and 11th floors) are taking advantage of an open house to have a peek at what life is like at the top. Each of the men (including Frank) has recently scaled one of the "Seven Summits" - the highest peaks of each continent (including Puncak Jaya of Oceania). Meeting each other during this peek at the penthouse has piqued their interest in scaling all the peaks. The wives (including Linda) are not climbers, but are looking forward to travelling with their husbands to each continent.
From the information given below, can you determine the first and last name of each mountaineer, the peak that he climbed, as well as the name and hair color (blonde, brunette, or red) of his wife?
1. Nora's husband is three floors below Mr. Simpson and four floors above the man who climbed Vinson Massif. These three men are Adam, Brian, and Charles. Their wives all have the same hair color.
2. Mr. Riley is two floors below Edmund and two floors above the man who climbed Mont Blanc (who is not Mr. Peary). These three men's wives are Heidi, Iris, and Jane. Two of these women have red hair, while the other is blonde.
3. Kate's husband is somewhere below David and somewhere above the Kilimanjaro climber (who isn't Charles). These three men are Mr. Simpson, Mr. Tailor, and Mr. Upton. Two of their wives are brunette, while the other is blonde.
4. George lives somewhere below Mr. Tailor (who isn't Edmund) and three floors above Mona's husband. These three men are the ones who climbed Aconcagua, Denali, and Vinson Massif. Each of their wives has a different hair color.
5. Mrs. Quarry is two floors below the wife of the Everest climber and two floors above Iris. None of these three is blonde.
6. Heidi lives somewhere below Brian's wife and somewhere above the Aconcagua climber's wife.
Hint: You can start by determining on which floor the Simpsons live. (Highlight to view)
Scroll down for the step-by-step solution.
North Face of Mount Everest, photo by Luca Galuzzi
Solution
This solution uses a table, rather than a grid. The key is having the table set up to represent the floors of the building, including the floors where none of the couples live.
The climber of Vinson Massif lives 7 floors below the Simpsons (clue 1), so the Simpsons can only live on the 10th or 11th floor. Let's try putting the Simpsons on the 11th floor, and see where we can put the people in clue 2.
If the Mont Blanc climber lives on the 3rd or 7th floor, then Mr. Riley would have to live on the 5th or 9th floor, where none of the 7 climbers live. Therefore, if the Simpsons are on the 11th floor, the only floor where the Mont Blanc climber can live is the 6th floor.
However, this means that Mrs. Riley would be named Nora (clue 1), not Heidi, Iris, or Jane (clue 2). This contradiction means the Simpsons cannot live on the 11th floor.
Therefore, Mr. Simpson must live on the 10th floor. We can fill in the choices (ABC) for their first names, and designate the common hair color of their wives as "X".
Once again, let's place the people in clue 2. Since the Mont Blanc climber lives 4 floors below Edmund, Edmund cannot live below the 8th floor. Edmund cannot live on the 11th floor, as no one lives on the 9th, nor can he be Mr. Simpson, whose name must be Adam, Brian, or Charles. So Edmund lives on the 8th floor. We can fill in the information about the wives as well.
From clue 4, Mona cannot live on either the 10th or 11th floors, so Mona must live on the 3rd floor. George, therefore, lives on the 6th floor, with Mr. Tailor living above him. Mr. Tailor cannot live on the 7th floor because Mona and Mrs. Tailor cannot have the same hair color. Edmund is on the 8th floor, so Mr. Tailor must live on the 11th floor.
Since Mona is the wife of the Vinson Massif climber, George and Mr. Tailor climbed Aconcagua and Denali. Clue 6 reveals that the Aconcagua climber cannot live on the 11th floor. Therefore George climbed Aconcagua, and Mr. Tailor climbed Denali. Heidi, therefore, must live on the 8th floor, and Brian must live on the 10th floor.
We can also designate Mrs. Riley's hair color as "Y", and indicate that Mrs. Tailor's hair color is neither "X" nor "Y".
From clue 5, the wife of the man who climbed Everest cannot be on the 7th floor, because no one lives on the 5th floor. Likewise, she cannot be on the 8th floor, because Mrs. Riley is on the 6th floor. Therefore, Mrs. Simpson on the 10th floor is the wife of the Everest climber. Heidi Quarry is therefore on the 8th floor, and Iris is on the 6th floor. None of these women is blonde, so Heidi and Iris are the two redheads mentioned in clue 2, leaving Jane on the 4th floor as a blonde. Also, from clue 3, we can determine that Mrs. Tailor on the 11th floor is not a redhead.
From clue 3, Kate cannot be on the 11th floor, so she is Mrs. Simpson on the 10th floor. That means David is Mr. Tailor on the 11th floor. Mr. Upton, then, climbed Kilimanjaro, and can therefore only live on the 7th floor; his first name cannot be Charles, so it is Adam.
The three wives in clue 3 are two brunettes and a blonde, so the unknown hair color "X" must be brunette, and "not X/not red" is therefore blonde.
Returning to clue 2, Mr. Peary did not climb Mont Blanc, so he climbed Vinson Massif. The remaining names can be determined from the information in the introduction.
And we are finished! That wasn't as hard as climbing Everest, right?
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The penthouse suite of Auckland's Victoria Residences has become available. Seven married couples (including Mr. and Mrs. Officer) who are current tenants (on the 3rd, 4th, 6th, 7th, 8th, 10th, and 11th floors) are taking advantage of an open house to have a peek at what life is like at the top. Each of the men (including Frank) has recently scaled one of the "Seven Summits" - the highest peaks of each continent (including Puncak Jaya of Oceania). Meeting each other during this peek at the penthouse has piqued their interest in scaling all the peaks. The wives (including Linda) are not climbers, but are looking forward to travelling with their husbands to each continent.
From the information given below, can you determine the first and last name of each mountaineer, the peak that he climbed, as well as the name and hair color (blonde, brunette, or red) of his wife?
1. Nora's husband is three floors below Mr. Simpson and four floors above the man who climbed Vinson Massif. These three men are Adam, Brian, and Charles. Their wives all have the same hair color.
2. Mr. Riley is two floors below Edmund and two floors above the man who climbed Mont Blanc (who is not Mr. Peary). These three men's wives are Heidi, Iris, and Jane. Two of these women have red hair, while the other is blonde.
3. Kate's husband is somewhere below David and somewhere above the Kilimanjaro climber (who isn't Charles). These three men are Mr. Simpson, Mr. Tailor, and Mr. Upton. Two of their wives are brunette, while the other is blonde.
4. George lives somewhere below Mr. Tailor (who isn't Edmund) and three floors above Mona's husband. These three men are the ones who climbed Aconcagua, Denali, and Vinson Massif. Each of their wives has a different hair color.
5. Mrs. Quarry is two floors below the wife of the Everest climber and two floors above Iris. None of these three is blonde.
6. Heidi lives somewhere below Brian's wife and somewhere above the Aconcagua climber's wife.
Hint: You can start by determining on which floor the Simpsons live. (Highlight to view)
Scroll down for the step-by-step solution.
North Face of Mount Everest, photo by Luca Galuzzi
Solution
This solution uses a table, rather than a grid. The key is having the table set up to represent the floors of the building, including the floors where none of the couples live.
The climber of Vinson Massif lives 7 floors below the Simpsons (clue 1), so the Simpsons can only live on the 10th or 11th floor. Let's try putting the Simpsons on the 11th floor, and see where we can put the people in clue 2.
If the Mont Blanc climber lives on the 3rd or 7th floor, then Mr. Riley would have to live on the 5th or 9th floor, where none of the 7 climbers live. Therefore, if the Simpsons are on the 11th floor, the only floor where the Mont Blanc climber can live is the 6th floor.
However, this means that Mrs. Riley would be named Nora (clue 1), not Heidi, Iris, or Jane (clue 2). This contradiction means the Simpsons cannot live on the 11th floor.
Therefore, Mr. Simpson must live on the 10th floor. We can fill in the choices (ABC) for their first names, and designate the common hair color of their wives as "X".
Once again, let's place the people in clue 2. Since the Mont Blanc climber lives 4 floors below Edmund, Edmund cannot live below the 8th floor. Edmund cannot live on the 11th floor, as no one lives on the 9th, nor can he be Mr. Simpson, whose name must be Adam, Brian, or Charles. So Edmund lives on the 8th floor. We can fill in the information about the wives as well.
From clue 4, Mona cannot live on either the 10th or 11th floors, so Mona must live on the 3rd floor. George, therefore, lives on the 6th floor, with Mr. Tailor living above him. Mr. Tailor cannot live on the 7th floor because Mona and Mrs. Tailor cannot have the same hair color. Edmund is on the 8th floor, so Mr. Tailor must live on the 11th floor.
Since Mona is the wife of the Vinson Massif climber, George and Mr. Tailor climbed Aconcagua and Denali. Clue 6 reveals that the Aconcagua climber cannot live on the 11th floor. Therefore George climbed Aconcagua, and Mr. Tailor climbed Denali. Heidi, therefore, must live on the 8th floor, and Brian must live on the 10th floor.
We can also designate Mrs. Riley's hair color as "Y", and indicate that Mrs. Tailor's hair color is neither "X" nor "Y".
From clue 5, the wife of the man who climbed Everest cannot be on the 7th floor, because no one lives on the 5th floor. Likewise, she cannot be on the 8th floor, because Mrs. Riley is on the 6th floor. Therefore, Mrs. Simpson on the 10th floor is the wife of the Everest climber. Heidi Quarry is therefore on the 8th floor, and Iris is on the 6th floor. None of these women is blonde, so Heidi and Iris are the two redheads mentioned in clue 2, leaving Jane on the 4th floor as a blonde. Also, from clue 3, we can determine that Mrs. Tailor on the 11th floor is not a redhead.
From clue 3, Kate cannot be on the 11th floor, so she is Mrs. Simpson on the 10th floor. That means David is Mr. Tailor on the 11th floor. Mr. Upton, then, climbed Kilimanjaro, and can therefore only live on the 7th floor; his first name cannot be Charles, so it is Adam.
The three wives in clue 3 are two brunettes and a blonde, so the unknown hair color "X" must be brunette, and "not X/not red" is therefore blonde.
Returning to clue 2, Mr. Peary did not climb Mont Blanc, so he climbed Vinson Massif. The remaining names can be determined from the information in the introduction.
And we are finished! That wasn't as hard as climbing Everest, right?
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