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29 Jun 2022, 06:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
63% (01:55) correct
37%
(01:53)
wrong
based on 155
sessions
History
Date
Time
Result
Not Attempted Yet
Of the families in township K, 80% of the families have oven, 60% have dishwasher. What percent of the families have oven but do not have dishwasher?
(1) 10% of the families have dishwasher but do not have oven.
(2) The number of the families that have both oven and dishwasher is five time the number of the families that have neither oven nor dishwasher.
Are You Up For the Challenge: 700 Level Questions
(1) 10% of the families have dishwasher but do not have oven.
(2) The number of the families that have both oven and dishwasher is five time the number of the families that have neither oven nor dishwasher.
Are You Up For the Challenge: 700 Level Questions
09 Jul 2022, 06:38
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We can use the double matrix method to solve this question.
The base statement can be represented in the matrix as follows -
SC1.png [ 33.78 KiB | Viewed 1623 times ]
We have to find the cell represented by the question mark
Statement 1
Statement 1 can be represented as shown below.
SC2.png [ 37.09 KiB | Viewed 1612 times ]
As we are able to obtain a definite answer from statement 1, its sufficient
Statement 2
Note, the statement 2 tells us about the number of families and not the percentage. However, as the total number of families is constant, we can conclude that the ration of the number and the ratio of the percentages will be the same.
Say, there m families represent n% of the population, 2m families will represent 2n% of the same population.
With that into consideration, let's assume that the % of families who have neither oven nor dishwasher = x%
% of families who have both oven and dishwasher = 5x%
Statement 2 can then be represented as shown below.
SC3.png [ 53.62 KiB | Viewed 1544 times ]
We can see, that Statement 2 is also sufficient to answer the question.
Hence the Answer is D
The base statement can be represented in the matrix as follows -
Attachment:
SC1.png [ 33.78 KiB | Viewed 1623 times ]
We have to find the cell represented by the question mark
Statement 1
Statement 1 can be represented as shown below.
Attachment:
SC2.png [ 37.09 KiB | Viewed 1612 times ]
As we are able to obtain a definite answer from statement 1, its sufficient
Statement 2
Note, the statement 2 tells us about the number of families and not the percentage. However, as the total number of families is constant, we can conclude that the ration of the number and the ratio of the percentages will be the same.
Say, there m families represent n% of the population, 2m families will represent 2n% of the same population.
With that into consideration, let's assume that the % of families who have neither oven nor dishwasher = x%
% of families who have both oven and dishwasher = 5x%
Statement 2 can then be represented as shown below.
Attachment:
SC3.png [ 53.62 KiB | Viewed 1544 times ]
We can see, that Statement 2 is also sufficient to answer the question.
Hence the Answer is D
28 Jan 2026, 02:36
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