Question
How many female employees joined in 2004?___
Answer: Option A
:
Given that six employees left in 2002.
246 + 6 - 217 = 35 employees joined in 2002.
Also 6×5=30 employees joined in 2000.
Similarly, 306+355−293
i.e., 20 employees joined in 2004.
Given that four female employees left in 2000.
102 + 4 - 82 = 24 female employees joined in2000.
Also 4×4=16 female employees joined in 1998.
Similarly, 115 + 24 - 105 =16 female employees
Let the number of employees left in 2003 and 2005 be x and y respectively.
293 + x - 246 = 47 + x is the number of employees who joined in 2003.
Similarly, 152 + x - 115 = 37 + x is the number of female employees who joined in 2003.
(47+x)5=(37+x)4
[As number of employees and female employees left in 2005 are equal]
x = 3
50 employees and 40 female employees joined in 2003.
As 3 left in 2003, 3×5=15 employees and 3×4=12 female employees joined in 2001.
Also, 219 + 15 - 217 = 17 employees and 102 + 12 - 105 = 9 female employees left in 2001.
85 employees of which 36 were females joined in 1999.
The following table gives the number of employees who joined each year:
Year199920002001200220032004Employees853015355020Female Employees362412164016
16 female employees joined in 2004
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:
Given that six employees left in 2002.
246 + 6 - 217 = 35 employees joined in 2002.
Also 6×5=30 employees joined in 2000.
Similarly, 306+355−293
i.e., 20 employees joined in 2004.
Given that four female employees left in 2000.
102 + 4 - 82 = 24 female employees joined in2000.
Also 4×4=16 female employees joined in 1998.
Similarly, 115 + 24 - 105 =16 female employees
Let the number of employees left in 2003 and 2005 be x and y respectively.
293 + x - 246 = 47 + x is the number of employees who joined in 2003.
Similarly, 152 + x - 115 = 37 + x is the number of female employees who joined in 2003.
(47+x)5=(37+x)4
[As number of employees and female employees left in 2005 are equal]
x = 3
50 employees and 40 female employees joined in 2003.
As 3 left in 2003, 3×5=15 employees and 3×4=12 female employees joined in 2001.
Also, 219 + 15 - 217 = 17 employees and 102 + 12 - 105 = 9 female employees left in 2001.
85 employees of which 36 were females joined in 1999.
The following table gives the number of employees who joined each year:
Year199920002001200220032004Employees853015355020Female Employees362412164016
16 female employees joined in 2004
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