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19 Dec 2024, 19:04
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Let total online users = a
(1) The number of online female users is twice the number of online unregistered users.
online female users = a - online male users = a - 1000
online unregistered users = a - registered users = a - 2400
So, a - 1000 = 2 x ( a - 2400). We can solve for a.
(2) Among the online users, 800 are registered males.
With this info, we know unregistered users = 200, registered female users = 1600. But we can't solve for a.
Answer: A
(1) The number of online female users is twice the number of online unregistered users.
online female users = a - online male users = a - 1000
online unregistered users = a - registered users = a - 2400
So, a - 1000 = 2 x ( a - 2400). We can solve for a.
(2) Among the online users, 800 are registered males.
With this info, we know unregistered users = 200, registered female users = 1600. But we can't solve for a.
Answer: A
19 Dec 2024, 22:28
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Restating the problem:
The number of online female users is twice the number of online unregistered users.
Let:
F=2⋅U
Here, F (total female users) is split into:
F=Registered females + Unregistered females.
While this sets up a relationship between females and unregistered users, we have no numerical value or other relationship to find U.
Statement (1) is insufficient.
Statement (2):
Among the online users, 800 are registered males.
From this, we can deduce:
Statement (2) is insufficient.
Combining (1) and (2):
From Statement (2):
UM=M−RM=1000−800=200.UM = M - RM = 1000 - 800 = 200.
From Statement (1), total females (FF) is twice the total unregistered users (UU):
F=2⋅U,
where U=UM+UF, i.e., total unregistered users = unregistered males + unregistered females.
Thus, we can express:
F=RF+UF=1600+UF.
Substituting F=2⋅(UM+UF):
1600+UF=2⋅(200+UF).
Expanding and solving for UF:
1600+UF=400+2UF,
1600−400=UF,
UF=1200.
Now, total unregistered users (UU):
U=UM+UF=200+1200=1400
Finally, total online users:
Total=R+U=2400+1400=3800.
Conclusion:
Both statements together are sufficient to calculate the total number of users. The corrected total number of users is 3800, and the answer remains C.
- R=2400R = 2400: Registered users.
- M=1000M = 1000: Male users (total, including registered and unregistered).
- Goal: Find the total number of users currently online.
The number of online female users is twice the number of online unregistered users.
Let:
- U: Unregistered users (total, including male and female).
- FF: Total female users (including registered and unregistered).
- UF: Unregistered female users.
F=2⋅U
Here, F (total female users) is split into:
F=Registered females + Unregistered females.
While this sets up a relationship between females and unregistered users, we have no numerical value or other relationship to find U.
Statement (1) is insufficient.
Statement (2):
Among the online users, 800 are registered males.
From this, we can deduce:
- Total registered users: R=2400R = 2400.
- Registered males: RM=800RM = 800.
- Registered females: RF=2400−800=1600RF = 2400 - 800 = 1600.
Statement (2) is insufficient.
Combining (1) and (2):
From Statement (2):
- Registered females (RF) = 1600.
- Total males (M) = 1000.
- Registered males (RM) = 800.
UM=M−RM=1000−800=200.UM = M - RM = 1000 - 800 = 200.
From Statement (1), total females (FF) is twice the total unregistered users (UU):
F=2⋅U,
where U=UM+UF, i.e., total unregistered users = unregistered males + unregistered females.
Thus, we can express:
F=RF+UF=1600+UF.
Substituting F=2⋅(UM+UF):
1600+UF=2⋅(200+UF).
Expanding and solving for UF:
1600+UF=400+2UF,
1600−400=UF,
UF=1200.
Now, total unregistered users (UU):
U=UM+UF=200+1200=1400
Finally, total online users:
Total=R+U=2400+1400=3800.
Conclusion:
Both statements together are sufficient to calculate the total number of users. The corrected total number of users is 3800, and the answer remains C.
19 Dec 2024, 23:00
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Table method is perfect for these kind of questions -
Let the total online users be x.
Statement 1 -
F = 2*(unregistered)
x-1000 = 2*(x-2400)
We have one variable, one equation, we can get the answer easily. SUFFICIENT
Statement 2 -
Registered males = 800
If we let unregistered females be Y
Y = x-1000-1600
y= x-2600
Y = x-2400-200
y=x-2600
We can see that we have 2 variables and 1 equation, we cannot solve.
Therefore, INSUFFICIENT.
FINAL ANSWER - Option A
Let the total online users be x.
| Registered | Unregistered | ||
| Males | 1000 | ||
| Females | x-1000 | ||
| 2400 | x-2400 | x |
Statement 1 -
F = 2*(unregistered)
x-1000 = 2*(x-2400)
We have one variable, one equation, we can get the answer easily. SUFFICIENT
Statement 2 -
Registered males = 800
| Registered | Unregistered | ||
| Males | 800 | 200 | 1000 |
| Females | 1600 | y | x-1000 |
| 2400 | x-2400 | x |
If we let unregistered females be Y
Y = x-1000-1600
y= x-2600
Y = x-2400-200
y=x-2600
We can see that we have 2 variables and 1 equation, we cannot solve.
Therefore, INSUFFICIENT.
FINAL ANSWER - Option A
Bunuel
