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23 Jul 2025, 22:00
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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:
35%
(medium)
Question Stats:
67% (01:09) correct
33%
(01:18)
wrong
based on 135
sessions
History
Date
Time
Result
Not Attempted Yet
MegaTech and UltraCorp are considering a merger to form the MegaUltraTech Corporation. Does MegaTech have more employees than UltraCorp?
(1) The average (arithmetic mean) age of UltraCorp employees is 32.8, while the average age of MegaTech employees is 27.2.
(2) If the merger goes through and all employees from both companies remain employed, the average (arithmetic mean) age of the MegaUltraTech employees will be 31.4.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) The average (arithmetic mean) age of UltraCorp employees is 32.8, while the average age of MegaTech employees is 27.2.
(2) If the merger goes through and all employees from both companies remain employed, the average (arithmetic mean) age of the MegaUltraTech employees will be 31.4.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
23 Jul 2025, 22:20
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(1) The average (arithmetic mean) age of UltraCorp employees is 32.8, while the average age of MegaTech employees is 27.2.
Insufficient,
We get to know nothing about numbers/sum of ages from just averages.
(2) If the merger goes through and all employees from both companies remain employed, the average (arithmetic mean) age of the MegaUltraTech employees will be 31.4.
Insufficient,
We get to know nothing about individual averages from the combined average after the merger.
Combining (1) and (2),
Sufficient, we can see that 31.4 is closer to 32.8 (UltraCorp) as compared to 27.2 (MegaTech), this will happen only if UltraCorp has higher weightage which means employees are more in UltraCorp.
Hence, (C) is the answer.
Insufficient,
We get to know nothing about numbers/sum of ages from just averages.
(2) If the merger goes through and all employees from both companies remain employed, the average (arithmetic mean) age of the MegaUltraTech employees will be 31.4.
Insufficient,
We get to know nothing about individual averages from the combined average after the merger.
Combining (1) and (2),
Sufficient, we can see that 31.4 is closer to 32.8 (UltraCorp) as compared to 27.2 (MegaTech), this will happen only if UltraCorp has higher weightage which means employees are more in UltraCorp.
Hence, (C) is the answer.
08 Aug 2025, 00:25
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Interesting line of thought to use average age as a relating factor to identify who has the higher number of employees
13 Aug 2025, 01:12
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I have a doubt , can't a company can employee more or all youth population. In that case , Avg might not change but no. of employ will be greater for Mega Tech.
agrasan
