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03 Aug 2020, 23:13
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C
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Difficulty:
65%
(hard)
Question Stats:
47% (01:30) correct
53%
(01:29)
wrong
based on 106
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An electricity plant operates in two shifts. Each worker is either in shift A or in shift B. What is the fraction of men and women in the plant that work in shift A?
(1) The number of men working in the plant in shift A is twice the number of men working in the plant in shift B.
(2) The number of women working in the plant in shift B is half the number of women working in the plant in shift A.
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04 Aug 2020, 00:05
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Statement 1:
2M in shift A
M in shift B
=> No information about women
(Insufficient)
Statement 2:
2W in shift A
W in shift B
=> No information about men
(Insufficient)
Combining both:
Total shift A = 2(M+W)
Total shift B = M+W
the fraction of men and women in the plant that work in shift A = Workers in plant A/total no. Of workers.
=> 2(M+W) / 3(M+W)
=> 2:3
(Sufficient)
IMO C
Posted from my mobile device
2M in shift A
M in shift B
=> No information about women
(Insufficient)
Statement 2:
2W in shift A
W in shift B
=> No information about men
(Insufficient)
Combining both:
Total shift A = 2(M+W)
Total shift B = M+W
the fraction of men and women in the plant that work in shift A = Workers in plant A/total no. Of workers.
=> 2(M+W) / 3(M+W)
=> 2:3
(Sufficient)
IMO C
Posted from my mobile device
HoneyLemon
Updated on: 05 Aug 2020, 13:12
Originally posted by HoneyLemon on 04 Aug 2020, 03:46.
Last edited by HoneyLemon on 05 Aug 2020, 13:12, edited 1 time in total.
Last edited by HoneyLemon on 05 Aug 2020, 13:12, edited 1 time in total.
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imo c
An electricity plant operates in two shifts. Each worker is either in shift A or in shift B. What is the fraction of men and women in the plant that work in shift A?
(1) The number of men working in the plant in shift A is twice the number of men working in the plant in shift B.
----------------Shift-A--------------------------Shift--B---- ----Total
Men ------------- 2X ---------------------------- X --------- 3X
Women---------- NA ------------------------------ NA -----------NA --
----Total--------------A --------------------------- B ----------- T
No info abt women .. so cann't find value of A / T ... insufficient ..
(2) The number of women working in the plant in shift B is half the number of women working in the plant in shift A.
----------------Shift-A--------------------------Shift--B---- ----Total
Men ------------- NA ---------------------------- NA --------- NA
Women---------- K ------------------------------ K/2----------- 3K /2
----Total--------------A --------------------------- B ----------- T
No info aboutt men .. so cann't find value of A / T ... insufficient ..
combining 1 and 2 ..
----------------Shift-A--------------------------Shift--B---- ----Total
Men ------------- 2X ---------------------------- X --------- 3X
Women---------- K ------------------------------ K/2----------- 3K /2
----Total--------------A --------------------------- B ----------- T = (3X + 3 K/2)
We still cannot find value of (2X+K) / (3X + 3 K/2) =(2X+K) / 3(2X + K)/2 =2/3 .. SO ans is c .
An electricity plant operates in two shifts. Each worker is either in shift A or in shift B. What is the fraction of men and women in the plant that work in shift A?
(1) The number of men working in the plant in shift A is twice the number of men working in the plant in shift B.
----------------Shift-A--------------------------Shift--B---- ----Total
Men ------------- 2X ---------------------------- X --------- 3X
Women---------- NA ------------------------------ NA -----------NA --
----Total--------------A --------------------------- B ----------- T
No info abt women .. so cann't find value of A / T ... insufficient ..
(2) The number of women working in the plant in shift B is half the number of women working in the plant in shift A.
----------------Shift-A--------------------------Shift--B---- ----Total
Men ------------- NA ---------------------------- NA --------- NA
Women---------- K ------------------------------ K/2----------- 3K /2
----Total--------------A --------------------------- B ----------- T
No info aboutt men .. so cann't find value of A / T ... insufficient ..
combining 1 and 2 ..
----------------Shift-A--------------------------Shift--B---- ----Total
Men ------------- 2X ---------------------------- X --------- 3X
Women---------- K ------------------------------ K/2----------- 3K /2
----Total--------------A --------------------------- B ----------- T = (3X + 3 K/2)
We still cannot find value of (2X+K) / (3X + 3 K/2) =
