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05 Mar 2024, 11:23
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Statement 1: All and only those who were employees at the company on the first day of last year were employees on the last day of last year.
Statement 2: Last year, the number of employees on the first day of the year was equal to the number of employees on the last day of the year.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
25% (02:53) correct
75%
(03:15)
wrong
based on 1844
sessions
History
Date
Time
Result
Not Attempted Yet
A certain company defines its annual labor turnover rate as the number of employees who left the company during the year divided by the average of the number of employees on the first day of the year and the number of employees on the last day of that year. Last year, the company had a labor turnover rate of exactly 25%.
Assuming that the information above is true, select for Statement 1 and for Statement 2 the statements such that if Statement 1 is true, then Statement 2 must be true, but it could be the case that Statement 2 is true and Statement 1 is false. Make only two selections, one in each column.
Assuming that the information above is true, select for Statement 1 and for Statement 2 the statements such that if Statement 1 is true, then Statement 2 must be true, but it could be the case that Statement 2 is true and Statement 1 is false. Make only two selections, one in each column.
ID: 700205
| Statement 1 | Statement 2 | |
| Last year, more people left the company than began work at the company. | ||
| Exactly 25% of the employees working at the company on the first day of last year left the company last year. | ||
| More than 25% of the employees working at the company on the first day of last year left the company last year. | ||
| All and only those who were employees at the company on the first day of last year were employees on the last day of last year. | ||
| Last year, the number of employees on the first day of the year was equal to the number of employees on the last day of the year. |
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Official Answer
Statement 1: All and only those who were employees at the company on the first day of last year were employees on the last day of last year.
Statement 2: Last year, the number of employees on the first day of the year was equal to the number of employees on the last day of the year.
parkhydel
The turnover rate is 25% i.e. 1/4
So various scenarios are possible.
Beg of year - 4 people
1 left, 1 joined
End of year - 4 people
Beg of year - 9 people
2 left, 0 joined
End of year - 7 people
etc...
Why (D) and (E) work (ANSWER):
(D) All and only those who were employees at the company on the first day of last year were employees on the last day of last year.
Consider the 1st example above. The 4 who were at the beginning were the ones at the end too. That is all. It is certainly possible. One person joined and he was the one who left.
(E) Last year, the number of employees on the first day of the year was equal to the number of employees on the last day of the year.
Has to be true because all and only those who were on the 1st day were on the last day too. No reductions. No extra people.
Why (B) and (E) do not work:
(B) Exactly 25% of the employees working at the company on the first day of last year left the company last year.
Beg of year - 100 people
25 of these 100 left, 70 joined and 5 of these left
End of year - 140 people
Turnover Rate = 30/120 = 25%
(E) Last year, the number of employees on the first day of the year was equal to the number of employees on the last day of the year.
Not true as per the illutration above.
General Discussion
14 May 2024, 14:34
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Hi KarishmaB - what's your logic in picking numbers for this question? In other words, how did you know to test out the numbers that you did (4 employees at the company to start, 1 joins and 1 leaves and 9 employees at the company to start, 2 leave and 0 join)? I find it tough to pick numbers for such TPA questions and generally waste time on that. Any tips or suggestions would be appreciated! Thanks!
