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16 Sep 2014, 00:28
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E
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Difficulty:
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Question Stats:
83% (01:20) correct
17%
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If there are 78 people working at an office, how many of them are women who are 40 or older?
(1) The number of men working at the office is twice that of women.
(2) The number of men and women under the age of 40 is equal.
(1) The number of men working at the office is twice that of women.
(2) The number of men and women under the age of 40 is equal.
16 Sep 2014, 00:28
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Official Solution:
If there are 78 people working at an office, how many of them are women who are 40 or older?
(1) The number of men working at the office is twice that of women.
This statement implies there are 26 women and 52 men in the office. However, we don't have information about their respective ages. Not sufficient.
(2) The number of men and women under the age of 40 is equal.
This statement implies that the number of younger men equals the number of younger women, but we still don't know the exact count of women who are 40 or older. Not sufficient.
(1)+(2) Combining both statements, we understand that there are 26 women in total and an equal number of younger men and younger women. But without knowing the exact count of younger women, we cannot determine how many of the 26 women are 40 or older. Not sufficient.
Answer: E
If there are 78 people working at an office, how many of them are women who are 40 or older?
(1) The number of men working at the office is twice that of women.
This statement implies there are 26 women and 52 men in the office. However, we don't have information about their respective ages. Not sufficient.
(2) The number of men and women under the age of 40 is equal.
This statement implies that the number of younger men equals the number of younger women, but we still don't know the exact count of women who are 40 or older. Not sufficient.
(1)+(2) Combining both statements, we understand that there are 26 women in total and an equal number of younger men and younger women. But without knowing the exact count of younger women, we cannot determine how many of the 26 women are 40 or older. Not sufficient.
Answer: E
12 Oct 2023, 04:50
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
