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22 Jun 2021, 02:00
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
61% (02:39) correct
39%
(02:43)
wrong
based on 150
sessions
History
Date
Time
Result
Not Attempted Yet
If 33 unskilled workers can do a work in 15 days of 12 hours each, how many skilled workers can do 50% more work in 11 days of 9 hours each? (Assume that it takes 2 skilled workers to do the work of 5 unskilled workers.)
(A) 36
(B) 42
(C) 64
(D) 90
(E) 100
(A) 36
(B) 42
(C) 64
(D) 90
(E) 100
22 Jun 2021, 10:29
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Bunuel
\(33*15*12*\frac{3}{2}*\frac{1}{11*9}*\frac{2}{5}=36\), Answer must be (A)
23 Jun 2021, 00:52
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Solution:
We are given that \(33\) Unskilled workers can do \(1\) work in \(180\) hours.
We are asked number of Skilled workers can do \(1.5\) work in \(99\) hours.
\(33\) Unskilled workers can do \(1\) work in \(180\) hours.
Or, \(33\) Unskilled workers can do \(1\times 1.5\) work in \(180\times 1.5\) hours.
Or, \(33\) Unskilled workers can do \(1.5\) work in \(270\) hours.
Or, \(33\times 270\) Unskilled workers can do \(1.5\) work in \(1\) hour.
Or, \(\frac{8910}{99}\) Unskilled workers can do \(1.5\) work in \(99\) hours.
Or, \(90\) Unskilled workers can do \(1.5\) work in \(99\) hour.
So we need to see how many skilled worker is equivalent to 90 unskilled worker.
We are given 5 unskilled worker is equivalent to 2 skilled worker
So, 90 unskilled worker will be equivalent to \(\frac{2}{5}\times 90 = 36\) skilled worker
Hence the right answer is Option A.
We are given that \(33\) Unskilled workers can do \(1\) work in \(180\) hours.
We are asked number of Skilled workers can do \(1.5\) work in \(99\) hours.
\(33\) Unskilled workers can do \(1\) work in \(180\) hours.
Or, \(33\) Unskilled workers can do \(1\times 1.5\) work in \(180\times 1.5\) hours.
Or, \(33\) Unskilled workers can do \(1.5\) work in \(270\) hours.
Or, \(33\times 270\) Unskilled workers can do \(1.5\) work in \(1\) hour.
Or, \(\frac{8910}{99}\) Unskilled workers can do \(1.5\) work in \(99\) hours.
Or, \(90\) Unskilled workers can do \(1.5\) work in \(99\) hour.
So we need to see how many skilled worker is equivalent to 90 unskilled worker.
We are given 5 unskilled worker is equivalent to 2 skilled worker
So, 90 unskilled worker will be equivalent to \(\frac{2}{5}\times 90 = 36\) skilled worker
Hence the right answer is Option A.
