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24 Jan 2024, 02:13
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C
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:
72% (02:23) correct
28%
(01:59)
wrong
based on 670
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A company has a total of 1,650 employees, some of whom are office workers. How many of the employees are enrolled in Medical Plan X ?
(1) The number of employees not enrolled in the plan is 75 more than the number of office workers enrolled in the plan.
(2) The number of employees enrolled in the plan is twice the number of office workers enrolled in the plan.
2024-01-24_13-10-46.png [ 51.5 KiB | Viewed 10422 times ]
(1) The number of employees not enrolled in the plan is 75 more than the number of office workers enrolled in the plan.
(2) The number of employees enrolled in the plan is twice the number of office workers enrolled in the plan.
Attachment:
2024-01-24_13-10-46.png [ 51.5 KiB | Viewed 10422 times ]
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13 May 2024, 13:05
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guddo
We can solve this question using a 2 * 2 matrix
A company has a total of 1,650 employees, some of whom are office workers. How many of the employees are enrolled in Medical Plan X
Attachment:
1.png [ 30.01 KiB | Viewed 11053 times ]
\(OW\) ⇒ Office Workers
\(MP_x\) ⇒ Enrolled in Medical Plan X
Statement 1
(1) The number of employees not enrolled in the plan is 75 more than the number of office workers enrolled in the plan.
Let the number of office workers enrolled in the plan = x
The number of employees not enrolled in the plan = x + 75
However, as we do not know the values of the other cells, we cannot find the value of x. The statement alone is not sufficient and we can eliminate A, and D.
Attachment:
2.png [ 34.34 KiB | Viewed 10559 times ]
Statement 2
(2) The number of employees enrolled in the plan is twice the number of office workers enrolled in the plan
Let the number of office workers enrolled in the plan = y
The number of employees enrolled in the plan = 2y
However, as we do not know the values of the other cells, we cannot find the value of y. The statement alone is not sufficient. Eliminate B.
Attachment:
3.png [ 33.08 KiB | Viewed 10368 times ]
Combined
Using both statements, we can conclude that x = y
Hence, we can represent the combined information as shown below.
Attachment:
4.png [ 37.12 KiB | Viewed 10292 times ]
2x + x + 75 = 1650
3x = 1575
x = 525
Hence, 2x = 1050
The statements combined are sufficient.
Option C
General Discussion
26 Jan 2024, 16:22
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guddo
\(1650 = O_e+O_{ne}+P_e+P_{ne}\)...(i)
\(O_e\) = office enrolled
\(O_{ne}\) = office NOT enrolled.
\(P_e\) = NOT office, enrolled.
\(P_{ne}\) = NOT office, NOT enrolled.
We need \(O_e\)+\(P_e\) = i.e. Those that are enrolled from office and those that are enrolled from outside office.
\(O_e\)+\(P_e = 1650 - (O_{ne} +P_{ne})\)...(ii) \(\hspace{4mm}\)from ...(i)
(1) The number of employees not enrolled in the plan is 75 more than the number of office workers enrolled in the plan.
\(O_{ne} +P_{ne} - O_e=75 \)
Using (ii) and statement (1) we finally get :
\(2O_e + P_e = 1575\)
INSUFF.
(2) The number of employees enrolled in the plan is twice the number of office workers enrolled in the plan
\(O_e + P_e = 2O_e\)
\(P_e = O_e\)
INSUFF.
1+2
\(3O_e = 1575\)
\(O_e = 525\)
Since \( O_e=P_e \)
Total enrolled from office and outside office is \(525+525 =1050\)
SUFF.
Hope it helped.
