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03 Apr 2025, 02:05
Kudos
Bookmarks
A university conducts a written examination and an interview to admit students to a research program. A student is selected only if the student scores more than x% in both the written examination and the interview, and has at least z years of work experience, where x and z are integers. The written examination is scored out of 100 marks, and the interview is scored out of 50 marks, with each score being an integer.
Amol: Written – 72; Interview – 35; Experience – 3 years: Yes
Brent: Written – 80; Interview – 35; Experience – 2 years: No
Donald: Written – 90; Interview – 45; Experience – 4 years: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
81% (02:11) correct
19%
(02:26)
wrong
based on 359
sessions
History
Date
Time
Result
Not Attempted Yet
Based on the selection criteria and the information provided, determine whether each of the following students would be selected. Select Yes if the student would be selected. Otherwise, select No.
| Yes | No | |
| Amol: Written – 72; Interview – 35; Experience – 3 years | ||
| Brent: Written – 80; Interview – 35; Experience – 2 years | ||
| Donald: Written – 90; Interview – 45; Experience – 4 years |
ShowHide Answer
Official Answer
Amol: Written – 72; Interview – 35; Experience – 3 years: Yes
Brent: Written – 80; Interview – 35; Experience – 2 years: No
Donald: Written – 90; Interview – 45; Experience – 4 years: Yes
70
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
49% (00:30) correct
51%
(00:27)
wrong
based on 384
sessions
History
Date
Time
Result
Not Attempted Yet
Based on the information provided, what is the minimum interview percentage a student must get to be selected?
| 35 | |
| 69 | |
| 70 | |
| 71 | |
| Cannot be determined |
All students with exactly 3 years of work experience who met the score thresholds are eligible for selection.: Yes
A student with 75 in written and 35 in interview can still be rejected.: Yes
A student with 38 in interview and 69 in written is not eligible for selection.: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
69% (00:46) correct
31%
(00:48)
wrong
based on 364
sessions
History
Date
Time
Result
Not Attempted Yet
For each of the following statements, select Yes if it can be concluded based on the information provided. Otherwise, select No.
| Yes | No | |
| All students with exactly 3 years of work experience who met the score thresholds are eligible for selection. | ||
| A student with 75 in written and 35 in interview can still be rejected. | ||
| A student with 38 in interview and 69 in written is not eligible for selection. |
ShowHide Answer
Official Answer
All students with exactly 3 years of work experience who met the score thresholds are eligible for selection.: Yes
A student with 75 in written and 35 in interview can still be rejected.: Yes
A student with 38 in interview and 69 in written is not eligible for selection.: Yes
12 May 2025, 01:15
Kudos
Bookmarks
Official Solution:
Amit (written 70, interview 40, experience 3 years) was selected with a written score of 70%. Shukla (written 72, interview 35, experience 4 years) was selected with an interview score of 35, which is exactly 70% of the 50-mark interview. So, scoring 70% is sufficient in both the written examination and the interview.
On the other hand, Reetu (written 69, interview 38, experience 10 years) — who had more than 70% in the interview and more experience than Amit — was obviously rejected because of her written score of 69%. This makes it clear that 69% is not sufficient. Thus, \(x = 69\%\), meaning a candidate must score more than 69% in both components.
Priya (written 75 (75%), interview 35 (70%), experience 2 years) met the score thresholds for \(x = 69\%\), but had only 2 years of work experience and was rejected. Amit, with 3 years of experience, was selected. So it’s clear that \(z = 3\), and a candidate must have at least 3 years of work experience to be eligible.
So, \(x = 69\%\) and \(z = 3\).
• Amol: Written 72 > 69%; Interview 35 > 69%; Experience 3 years ≥ 3 → meets all thresholds → Selected
• Brent: Written 80 > 69%; Interview 35 > 69%; Experience 2 years < 3 → fails experience → Rejected
• Donald: Written 90 > 69%; Interview 45 > 69%; Experience 4 years ≥ 3 → meets all thresholds → Selected
Correct answer:
Amol: Written – 72; Interview – 35; Experience – 3 years
"Yes"
Brent: Written – 80; Interview – 35; Experience – 2 years
"No"
Donald: Written – 90; Interview – 45; Experience – 4 years "Yes"
Bunuel
Amit (written 70, interview 40, experience 3 years) was selected with a written score of 70%. Shukla (written 72, interview 35, experience 4 years) was selected with an interview score of 35, which is exactly 70% of the 50-mark interview. So, scoring 70% is sufficient in both the written examination and the interview.
On the other hand, Reetu (written 69, interview 38, experience 10 years) — who had more than 70% in the interview and more experience than Amit — was obviously rejected because of her written score of 69%. This makes it clear that 69% is not sufficient. Thus, \(x = 69\%\), meaning a candidate must score more than 69% in both components.
Priya (written 75 (75%), interview 35 (70%), experience 2 years) met the score thresholds for \(x = 69\%\), but had only 2 years of work experience and was rejected. Amit, with 3 years of experience, was selected. So it’s clear that \(z = 3\), and a candidate must have at least 3 years of work experience to be eligible.
So, \(x = 69\%\) and \(z = 3\).
• Amol: Written 72 > 69%; Interview 35 > 69%; Experience 3 years ≥ 3 → meets all thresholds → Selected
• Brent: Written 80 > 69%; Interview 35 > 69%; Experience 2 years < 3 → fails experience → Rejected
• Donald: Written 90 > 69%; Interview 45 > 69%; Experience 4 years ≥ 3 → meets all thresholds → Selected
Correct answer:
Amol: Written – 72; Interview – 35; Experience – 3 years
"Yes"
Brent: Written – 80; Interview – 35; Experience – 2 years
"No"
Donald: Written – 90; Interview – 45; Experience – 4 years "Yes"
13 May 2025, 01:15
Kudos
Bookmarks
Official Solution:
Amit (written 70, interview 40, experience 3 years) was selected with a written score of 70%. Shukla (written 72, interview 35, experience 4 years) was selected with an interview score of 35, which is exactly 70% of the 50-mark interview. So, scoring 70% is sufficient in both the written examination and the interview.
On the other hand, Reetu (written 69, interview 38, experience 10 years) — who had more than 70% in the interview and more experience than Amit — was obviously rejected because of her written score of 69%. This makes it clear that 69% is not sufficient. Thus, \(x = 69\%\), meaning a candidate must score more than 69% in both components.
So, a candidate must get 70% or higher in the interview to be selected.
Correct answer:
Based on the information provided, what is the minimum interview percentage a student must get to be selected?
"70"
Bunuel
Amit (written 70, interview 40, experience 3 years) was selected with a written score of 70%. Shukla (written 72, interview 35, experience 4 years) was selected with an interview score of 35, which is exactly 70% of the 50-mark interview. So, scoring 70% is sufficient in both the written examination and the interview.
On the other hand, Reetu (written 69, interview 38, experience 10 years) — who had more than 70% in the interview and more experience than Amit — was obviously rejected because of her written score of 69%. This makes it clear that 69% is not sufficient. Thus, \(x = 69\%\), meaning a candidate must score more than 69% in both components.
So, a candidate must get 70% or higher in the interview to be selected.
Correct answer:
Based on the information provided, what is the minimum interview percentage a student must get to be selected?
"70"
