Three housesa ranch, a cape, and a bungalowhave similar, though not

Question

Three houses—a ranch, a cape, and a bungalow—have similar, though not identical, color schemes. The siding, shutters, and door of each house are blue, white, or yellow. One house has white siding. Two have yellow shutters, and the other has white shutters. No two houses have the same color door. No house has siding the same color as its shutters or the same color as its door. The ranch and the bungalow both have blue siding.

Select a statement that must be true. Then select a statement that must be false. Make only two selections, one in each column.

Apt0810 · Answer

Cape has white shutter - False since per the stem No house has siding the same color as its shutters.

Cape has blue door - True since the possible sliding colors are yellow & white, per the question so for the cape the sliding should have yellow color so the door would be blue color since per the question(No house has siding the same color as its door.)

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sony1000 · Answer

The cape has a blue door is true because the ranch and the bungalow doors can either be white or yellow since ranch and the bungalow both have blue siding and no house has siding the same color as the door, that leaves us with premise that no two houses have the same color door resulting in cape house with a blue door.

kntombat · Answer

The true statement to be selected has to be    The Cape has a blue door    as the door of the Ranch and the Bungalow could be either yellow or white.
The false statement has to be    The Cape has white shutters    this is because of the condition mentioned in the stimulus that the siding and shutter of any of the properties cannot be of the same colour.

Sajjad1994 · Answer

Official Explanation

Analyze the information

Start by organizing the given information in a chart. The most concrete piece of information is that the ranch and the bungalow have blue siding. You're also told that one house has white siding, so it must be the Cape Cod.

Attachment:

K1.jpg [ 30.22 KiB | Viewed 12558 times ]

Moreover, because the siding and shutter colors are different, the cape can't have white shutters; since the only other option is yellow ("Two have yellow shutters, and the other has white shutters."), it must be one of the two houses with yellow shutters. This means either the ranch also has yellow shutters and the bungalow has white shutters or vice versa. Similarly, because the ranch and bungalow have blue siding and the siding and door colors also have to be different, the ranch and bungalow must each have a yellow or a white door. Because each house has a differently colored door, there is one blue door, one yellow door, and one white door. You've already assigned the yellow and white to one of either the ranch or the bungalow, so the blue door must belong to the Cape Cod.

Attachment:

K2.jpg [ 37.77 KiB | Viewed 12309 times ]

Approach strategically

You need a "must be true" answer choice and a "must be false" answer choice. You've already deduced that the Cape Cod can't have white shutters, so the statement that the cape has white shutters must be False. You also know that the Cape Cod must have a blue door, so the cape has a blue door must be True.

The correct answer is:

True: The cape has a blue door.
False: The cape has white shutters.

TAKEAWAY: In a puzzle question like this, organize the given information carefully and use it to make deductions about what must be true or false.

NoeticImbecile · Answer

hope this helps

nguyenpham1309 · Answer

"The ranch and the bungalow both have blue siding." and "One house has white siding." -> The other house type must has white siding -> The cape has white siding

"The ranch and the bungalow both have blue siding" also means there are two sets of colors belong to these two types, so the only type of house that we can be sure to identify the color of each object is The cape -> Focus on two statements of the cape

The cape has white shutters.
The cape has a blue door.
One of them is true and the other is false

"No house has siding the same color as its shutters or the same color as its door." So the cape cannot have both the white shutters and the white siding. Therefore "The cape has white shutters" is a false statement.

The true statement is "The cape has a blue door".

For me the key information to limit the possibilities of "must be" answer is the "The ranch and the bungalow both have blue siding". This sentence reduces the certainty of some scenarios and thus, we can be sure that the info pertaining to the cape are those between true and false category

Purnank · Answer

Lets create matrix from given data.

Color conditions \ Houses Categories -> Ranch Cape Bungalow
1white -------------------Siding-----------------B-----W--------B--------(The ranch and the bungalow both have blue siding.)
2Yellow, 1white ------- Shutter ---------------------   Y   -----------------(as all features have different colors)
All different ------------- Doors -----------------------  B   -----------------(Remaining Blue)

As No two houses have the same color door. No house has siding the same color as its shutters or the same color as its door.

True -   The cape has a blue door.  
False -   The cape has white shutters.

Gemmie · Answer

Siding____Shutter____Door 
  B __________ Y _______ Y or W   => Ranch or Bungalow 
 W __________ Y _______ B   => Cape 
 B __________ W _______ Y or W   => Ranch or Bungalow

The above table is made based on the given info in this order

(1) Two have yellow shutters, and the other has white shutters

(2) The ranch and the bungalow both have blue siding & (3) One house has white siding & (4) No house has siding the same color as its shutters

(5) No house has siding the same color as as its door

(6) No two houses have the same color door.

(7) The ranch and the bungalow both have blue siding

We know most surely about cape => Check statement regarding cape first

The cape has white shutters. => NO, the shutters are yellow
The cape has a blue door. => YES, the door is blue

Dbrunik · Answer

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haianh · Answer

Summary:  
 
 3 houses: R - C - Bu 
 3 parts each: S - Sh - D 
 3 colors: B - W - Y  
 Rules:  
 
 All doors' colors are different. 
 Shutter has a different color than S or D.

Draw table and fill in  must be true  ( Given ): 
    
  S  
  Sh  
  D  
 
   R  
  B  
  W/Y  
  not B  
 
   C  
  W  
  Y  
  B  
 
   Bu  
  B  
  W/Y   
  not B  
 
  notes 
  1W  
   2Y  
  1W

Notes: W/Y - Not B: same, W/Y is directly from "2Y - 1W" info, "Not B" is directly from "all doors different"

Answer:  
 
 The cape has white shutters. (False) 
 The cape has a blue door. (True)

Three housesa ranch, a cape, and a bungalowhave similar, though not

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True	False
		The cape has white shutters.
		The ranch has yellow shutters.
		The bungalow has white shutters.
		The cape has a blue door.
		The ranch has a white door.
		The bungalow has a yellow door.

GMAT Two-part Analysis (TPA) Questions

Three housesa ranch, a cape, and a bungalowhave similar, though not

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