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19 Dec 2024, 09:00
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A
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51% (02:05) correct
49%
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Currently, on a certain website, out of all online users, 2,400 are registered users, and 1,000 are male. How many users are currently online?
(1) The number of online female users is twice the number of online unregistered users.
(2) Among the online users, 800 are registered males.
Currently, on a certain website, out of all online users, 2,400 are registered users, and 1,000 are male. How many users are currently online?
(1) The number of online female users is twice the number of online unregistered users.
(2) Among the online users, 800 are registered males.
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19 Dec 2024, 10:00
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GMAT Club's Official Explanation:
Currently, on a certain website, out of all online users, 2,400 are registered users, and 1,000 are male. How many users are currently online?
Let T represent the total number of online users. The breakdown is as follows:
| Registered | Un-registered | TOTAL | |
| Male | 1,000 | ||
| Female | T - 1,000 | ||
| TOTAL | 2,400 | T - 2,400 | T |
(1) The number of online female users is twice the number of online unregistered users.
This implies that T - 1,000 = 2(T - 2,400), which gives T = 3,800. Sufficient.
(2) Among the online users, 800 are registered males.
This gives the following breakdown:
| Registered | Un-registered | TOTAL | |
| Male | 800 | 200 | 1,000 |
| Female | 1,600 | T - 1,000 | |
| TOTAL | 2,400 | T - 2,400 | T |
From this, we still do not have enough information to determine the total number of online users, T. Not sufficient.
Answer: A.
General Discussion
19 Dec 2024, 09:35
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Number of male users: 1000
Number of registered users: 2400
Let R be registered user, UR be unregistered user, M be male users and F be female users.
Statement 1:
2400 + x = 1000 + 2x
x = 1400
y = 2400 + x = 3800
This statement is sufficient.
Statement 2:
Cannot calculate the value of y here, so this statement is insufficient.
Answer: A
Number of registered users: 2400
Let R be registered user, UR be unregistered user, M be male users and F be female users.
Statement 1:
| R | UR | T | |
| M | 1000 | ||
| F | 2x | ||
| T | 2400 | x | y |
2400 + x = 1000 + 2x
x = 1400
y = 2400 + x = 3800
This statement is sufficient.
Statement 2:
| R | UR | T | |
| M | 800 | 200 | 1000 |
| F | 1600 | ||
| T | 2400 | y |
Cannot calculate the value of y here, so this statement is insufficient.
Answer: A
