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06 Jan 2024, 04:53
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1: No
2: No
3: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
74% (02:47) correct
26%
(03:00)
wrong
based on 1371
sessions
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Not Attempted Yet
A certain company conducted phone interviews with each of 6 candidates—Candidates U through Z—for the purpose of determining who should be invited for an on-site interview. The candidates were rated according to 5 criteria (Criteria A through E). If not all of the phone interview candidates are invited for the on-site interview, then, by company policy, each candidate in the group invited for the on-site interview must have had greater ratings for each of the 5 criteria than each of the candidates that are not invited. For each of the 6 candidates, the table shows the ratings assigned to the candidate for each criterion.
Assuming the on-site interview candidates are selected in a manner consistent with the company policy, for each of the following numbers, select Yes if a group with exactly that number of candidates could be invited for the on-site interview from among these 6 candidates. Otherwise, select No.
DS 1.png [ 112.6 KiB | Viewed 12882 times ]
Assuming the on-site interview candidates are selected in a manner consistent with the company policy, for each of the following numbers, select Yes if a group with exactly that number of candidates could be invited for the on-site interview from among these 6 candidates. Otherwise, select No.
Rating | |||||
| Candidate | A | B | C | D | E |
|---|---|---|---|---|---|
| Z | 4.8 | 4.4 | 4.8 | 4.2 | 5.0 |
| U | 4.6 | 4.8 | 4.4 | 4.2 | 4.2 |
| Y | 4.6 | 4.6 | 4.4 | 4.2 | 5.0 |
| W | 4.4 | 4.0 | 4.2 | 3.8 | 4.0 |
| X | 3.6 | 3.8 | 3.4 | 3.6 | 4.0 |
| V | 2.0 | 2.8 | 3.6 | 4.0 | 2.8 |
Attachment:
DS 1.png [ 112.6 KiB | Viewed 12882 times ]
| Yes | No | |
| 1 | ||
| 2 | ||
| 3 |
ShowHide Answer
Official Answer
1: No
2: No
3: Yes
10 Mar 2025, 22:23
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I came up with this.
First, I sorted A, Z had the highest rating. However, sorting B showed U had the highest rating, meaning Z doesn’t dominate all criteria.
So, Q1 = No.
For two candidates, because Y and U had same ratings in A. we couldn't invite only Z and Y or Z and U.
Thus, Q2 = No.
For three candidates, sorted all criterion and found that Y, U, and Z together meet the requirement, with no other candidate having a higher rating.
So, Q3 = Yes.
Hope this helps!
First, I sorted A, Z had the highest rating. However, sorting B showed U had the highest rating, meaning Z doesn’t dominate all criteria.
So, Q1 = No.
For two candidates, because Y and U had same ratings in A. we couldn't invite only Z and Y or Z and U.
Thus, Q2 = No.
For three candidates, sorted all criterion and found that Y, U, and Z together meet the requirement, with no other candidate having a higher rating.
So, Q3 = Yes.
Hope this helps!
08 Jan 2024, 19:40
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yikes000
The table gives the ratings that six candidates, U through Z, get in 5 different categories. If a person is selected, then every other person having a rating higher in each of the categories is also selected.
The question asks us to find how many candidates could have been called for on site interview.
Any one called should have the ratings in each category higher than who are not called. For example, someone, say T, with the highest rating in one criteria but lowest in another would ensure that he is selected if any one is selected ( T has highest rating in one criteria) and that everyone is selected if he is selected ( T is the lowest in one criteria).
(a) If we look at the candidates and ratings in criteria, V is lowest in 4 of them and not the highest in any. So, he is surely left out if all six were not called.
(b) However, in D criteria, X and W have got lesser lesser rating than V. So, if V is left out, X and W are also surely left out.
From the above two, we can say all six can be called but not four or five as X, V and W have higher ratings than eac other in some criteria.
Thus, remaining three (3) can be called for interview as their ratings are higher in all categories than the threes who are not called.
(c) Next, U out of the remaining three has the highest rating in B, so cannot be left out else all will have to be rejected,
(d) But U out of the three also has the lowest rating in E amongst the three, so cannot be selected unless other two are selected.
Thus, there is no one amongst three who has the highest rating in all the categories. Thus we can have three selected, but not one or two.
1: No
2: No
3: Yes
