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In company X, 36 employees were given pay increments and 48 employees
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21 Dec 2023, 06:47
21 Dec 2023, 06:47
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Question Stats:
84% (02:12) correct
15% (02:58) wrong based on 13 sessions
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In company X, 36 employees were given pay increments and 48 employees were given premium training courses. If the number of employees that were given pay increments but not premium training courses was between 15 and 20, inclusive, what is the number of employees that were given premium training courses but did not pay increments.
Indicate all possible numbers.
(A) 15
(B) 21
(C) 27
(D) 30
(E) 32
(F) 35
Indicate all possible numbers.
(A) 15
(B) 21
(C) 27
(D) 30
(E) 32
(F) 35
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Re: In company X, 36 employees were given pay increments and 48 employees
[#permalink]
25 Dec 2023, 03:45
25 Dec 2023, 03:45
1
The answers are C, D and E.
Let:
P = number of employees who received pay increments = 36
T = number of employees who received premium training courses = 48
N = number of employees who received both pay increments and premium training courses
X = number of employees who received pay increments but not premium training = 15 to 20
--> T - N = number of employees who received premium training but not pay increment
Also, P = N + X
--> N = P - X
Plug in numbers from 15 to 20 for X
--> N = 36 - 15 = 21
or 36 - 16 = 20
or 36 - 17 = 19
or 36 - 18 = 18
or 36 - 19 = 17
or 36 - 20 = 16
--> T - N = 48 - 21 = 27
or 48 - 20 = 28
or 48 - 19 = 29
or 48 - 18 = 30
or 48 - 17 = 31
or 48 - 16 = 32
Let:
P = number of employees who received pay increments = 36
T = number of employees who received premium training courses = 48
N = number of employees who received both pay increments and premium training courses
X = number of employees who received pay increments but not premium training = 15 to 20
--> T - N = number of employees who received premium training but not pay increment
Also, P = N + X
--> N = P - X
Plug in numbers from 15 to 20 for X
--> N = 36 - 15 = 21
or 36 - 16 = 20
or 36 - 17 = 19
or 36 - 18 = 18
or 36 - 19 = 17
or 36 - 20 = 16
--> T - N = 48 - 21 = 27
or 48 - 20 = 28
or 48 - 19 = 29
or 48 - 18 = 30
or 48 - 17 = 31
or 48 - 16 = 32
gmatclubot
Re: In company X, 36 employees were given pay increments and 48 employees [#permalink]
25 Dec 2023, 03:45
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