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05 Feb 2025, 01:30
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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:
72% (01:18) correct
28%
(01:11)
wrong
based on 82
sessions
History
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Time
Result
Not Attempted Yet
Is the average age of the students taking SAT greater than 22?
(1) Out of the 100 test takers, 92 student's average is 14.
(2) The oldest test taker is 24 years old.
(1) Out of the 100 test takers, 92 student's average is 14.
(2) The oldest test taker is 24 years old.
Updated on: 05 Feb 2025, 02:44
Originally posted by tgsankar10 on 05 Feb 2025, 02:40.
Last edited by tgsankar10 on 05 Feb 2025, 02:44, edited 1 time in total.
Last edited by tgsankar10 on 05 Feb 2025, 02:44, edited 1 time in total.
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Statement 1: Out of the 100 test takers, 92 student's average is 14.
The age of remaining 8 students are not known. Their ages may increase the average beyond 22 or may not.
Not Sufficient
Statement 2: The oldest test taker is 24 years old.
Only the maximum age is known.
Not Sufficient
Statements Combined:
Sum of 92 students' age \(= 14*92=1288\)
Max sum of remaining 8 students' age \(=24*8=192\)
Max average of \(100\) students \(=\frac{1288+192}{100}=14.8\)
Max possible average age is \(14.8\), which is less than \(22\)
Sufficient
Answer: C
The age of remaining 8 students are not known. Their ages may increase the average beyond 22 or may not.
Not Sufficient
Statement 2: The oldest test taker is 24 years old.
Only the maximum age is known.
Not Sufficient
Statements Combined:
Sum of 92 students' age \(= 14*92=1288\)
Max sum of remaining 8 students' age \(=24*8=192\)
Max average of \(100\) students \(=\frac{1288+192}{100}=14.8\)
Max possible average age is \(14.8\), which is less than \(22\)
Sufficient
Answer: C
05 Feb 2025, 02:40
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Avg = Sum/Number
We need the sum of ages of all students to answer: Is avg > 22
Statement 1:
We have avg of 92 students but no info on the remaining 8 students.
They can all be 14, which will make the avg 14 or 200 which will make the avg higher than 22
Insufficient
A,D out
Statement 2:
Just knowing avg of 1 person won't help
Insufficient
B is out
Both together:
Given that the max age is 24, let's assume all 8 have avg 24
If the number of students with avg 24 and avg 14, would have been equal, then the avg would have been 19. We know that the number of students with avg 14 is much bigger, so the avg will be lower than 19.
Sufficient
Answer C
We need the sum of ages of all students to answer: Is avg > 22
Statement 1:
We have avg of 92 students but no info on the remaining 8 students.
They can all be 14, which will make the avg 14 or 200 which will make the avg higher than 22
Insufficient
A,D out
Statement 2:
Just knowing avg of 1 person won't help
Insufficient
B is out
Both together:
Given that the max age is 24, let's assume all 8 have avg 24
If the number of students with avg 24 and avg 14, would have been equal, then the avg would have been 19. We know that the number of students with avg 14 is much bigger, so the avg will be lower than 19.
Sufficient
Answer C
Bunuel
