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20 Apr 2021, 08:00
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D
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Difficulty:
15%
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Question Stats:
84% (02:04) correct
16%
(02:57)
wrong
based on 73
sessions
History
Date
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Result
Not Attempted Yet
The ratio of programmers to scientists at a company was 8:5 in the year 2000 and 3:4 in the year 2010. If the total number of programmers and scientists at the company was 52 in the year 2000 and 196 in the year 2010, how many more scientists were at the company in 2010 than in 2000?
A. 80
B. 84
C. 88
D. 92
E. 100
A. 80
B. 84
C. 88
D. 92
E. 100
20 Apr 2021, 08:46
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Bunuel
For the year 2000:
Let the number of Programmers be 8x
Scientists = 5x
Given: 13x = 52
x = 4
So, prog. = 32
scientists = 20
For the year 2010:
Let the programmers be 3x
scientists = 4x
7x = 196
x = 28
programmers = 84
scientists = 112
Number of more scientists = 112 - 20 = 92
20 Apr 2021, 09:00
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Scientists in 2000 = (5/13)(52) = 20
Scientists in 2010 = (4/7)(196) = 112
In the question they were asking how many more scientists in 2010 than 2000 = 112-20 = 92
Ans: Option D
Scientists in 2010 = (4/7)(196) = 112
In the question they were asking how many more scientists in 2010 than 2000 = 112-20 = 92
Ans: Option D
