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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:
47% (03:11) correct
53%
(02:44)
wrong
based on 51
sessions
History
Date
Time
Result
Not Attempted Yet
The ages of the employees of Lelita are shown in the table below.
Employee..... Age
Alessandro ...43
Beatrice ........47
Carlo............. 19
Francesca......24
Lorenzo........ 50
Giulia ........... 62
Matteo ......... 56
Sofia ............... x
If the average age of Lelita’s employees is an integer and the range of their ages is 43, how many possibilities are there for Sofia’s age?
(A) 1
(B) 4
(C) 5
(D) 6
(E) 7
Employee..... Age
Alessandro ...43
Beatrice ........47
Carlo............. 19
Francesca......24
Lorenzo........ 50
Giulia ........... 62
Matteo ......... 56
Sofia ............... x
If the average age of Lelita’s employees is an integer and the range of their ages is 43, how many possibilities are there for Sofia’s age?
(A) 1
(B) 4
(C) 5
(D) 6
(E) 7
Range is 43
So, 19 ≤ x ≤ 62
Average = (301 + x)/8 = 37 + (x+5)/8
(is an integer)
Possible values of x are of the form 8n+3
19, 27.......59
Total 6 values are possible
So, 19 ≤ x ≤ 62
Average = (301 + x)/8 = 37 + (x+5)/8
(is an integer)
Possible values of x are of the form 8n+3
19, 27.......59
Total 6 values are possible
15 Sep 2026, 02:41
Kudos
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kevincan I am getting the answer as 6 by counting 19-59. Can you please explain why the OA will be 5
