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19 Feb 2024, 12:31
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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:
95%
(hard)
Question Stats:
38% (02:47) correct
62%
(03:02)
wrong
based on 76
sessions
History
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The employee-manager ratio at a certain company was 25:4, but when the company laid off eighty employees for budgetary reasons, seventeen managers resigned in protest. Which of the following could be the new employee-manager ratio at the company?
A. 63 : 22
B. 95 : 24
C. 33 : 5
D. 55 : 6
E. 55 : 4
A. 63 : 22
B. 95 : 24
C. 33 : 5
D. 55 : 6
E. 55 : 4
26 Feb 2024, 00:32
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iwantroca
The employee-manager ratio was 25:4 = 6.25.
The fired employee-manager ratio was 80:17 ≈ 5.
These ratios are close enough; however, in proportion, fewer employees were fired than managers. Therefore, the new employee-manager ratio should be slightly higher than 6.25. Only C fits.
Answer: C.
Alternatively, we could set up an equation for the new employee-manager ratio as (25x - 80)/(4x - 17) and equate this to the given options to check which one of them will give an integer value for x. Again, only C fits, giving x = 23.
Answer: C
Hope it helps.
General Discussion
19 Feb 2024, 20:37
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@iwantrocaGiven: The employee-manager ratio at a certain company was 25:4, but when the company laid off eighty employees for budgetary reasons, seventeen managers resigned in protest.
Asked: Which of the following could be the new employee-manager ratio at the company?
Let the employees and managers in the company be 25k & 4k respectively
After laying off 80 employees and 17 managers, new employee-manager ratio = (25k-80)/(4k-17) = 5(5k-16)/(4k-17)
When k = 5; (25k-80)/(4k-17) = 45/3
When k = 6; (25k-80)/(4k-17) = 70/7 = 10
When k = 7; (25k-80)/(4k-17) = 95/11
When k = 8; (25k-80)/(4k-17) = 120/15 = 8
When k = 9; (25k-80)/(4k-17) = 145/19
When k = 10; (25k-80)/(4k-17) = 170/23
When k = 11; (25k-80)/(4k-17) = 195/27 = 63/9
When k = 12; (25k-80)/(4k-17) = 220/31
When k = 13; (25k-80)/(4k-17) = 245/35 = 49/7 = 7
When k = 14; (25k-80)/(4k-17) = 270/39
When k = 15; (25k-80)/(4k-17) = 295/43
When k = 16; (25k-80)/(4k-17) = 320/47
When k = 17; (25k-80)/(4k-17) = 345/51
When k = 18; (25k-80)/(4k-17) = 370/55 = 74/11
When k = 19; (25k-80)/(4k-17) = 395/59
When k = 20; (25k-80)/(4k-17) = 420/63
When k = 21; (25k-80)/(4k-17) = 445/67
When k = 22; (25k-80)/(4k-17) = 470/71
When k = 23; (25k-80)/(4k-17) = 495/75 = 99/15 = 33/5
IMO C
Asked: Which of the following could be the new employee-manager ratio at the company?
Let the employees and managers in the company be 25k & 4k respectively
After laying off 80 employees and 17 managers, new employee-manager ratio = (25k-80)/(4k-17) = 5(5k-16)/(4k-17)
When k = 5; (25k-80)/(4k-17) = 45/3
When k = 6; (25k-80)/(4k-17) = 70/7 = 10
When k = 7; (25k-80)/(4k-17) = 95/11
When k = 8; (25k-80)/(4k-17) = 120/15 = 8
When k = 9; (25k-80)/(4k-17) = 145/19
When k = 10; (25k-80)/(4k-17) = 170/23
When k = 11; (25k-80)/(4k-17) = 195/27 = 63/9
When k = 12; (25k-80)/(4k-17) = 220/31
When k = 13; (25k-80)/(4k-17) = 245/35 = 49/7 = 7
When k = 14; (25k-80)/(4k-17) = 270/39
When k = 15; (25k-80)/(4k-17) = 295/43
When k = 16; (25k-80)/(4k-17) = 320/47
When k = 17; (25k-80)/(4k-17) = 345/51
When k = 18; (25k-80)/(4k-17) = 370/55 = 74/11
When k = 19; (25k-80)/(4k-17) = 395/59
When k = 20; (25k-80)/(4k-17) = 420/63
When k = 21; (25k-80)/(4k-17) = 445/67
When k = 22; (25k-80)/(4k-17) = 470/71
When k = 23; (25k-80)/(4k-17) = 495/75 = 99/15 = 33/5
IMO C
