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05 Jun 2020, 08:35
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A
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Difficulty:
85%
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52% (02:18) correct
48%
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wrong
based on 140
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The human resources manager of a company compiled the data that the company had on the academic qualifications of its 100 employees. He observed that employees who had an Engineering and an MBA degree were the most in number and employees who had neither an Engineering nor an MBA degree were the least in number. If there were 20 employees who had an Engineering degree, but not an MBA degree, which of the following cannot be the number of employees who had an MBA degree?
A. 55
B. 65
C. 75
D. 80
E. None of the above
A. 55
B. 65
C. 75
D. 80
E. None of the above
05 Jun 2020, 09:03
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Attachment:
Screenshot 2020-06-05 at 9.32.05 PM.png [ 22.54 KiB | Viewed 2410 times ]
Number of employees who had an MBA degree > 60
IMO A
05 Jun 2020, 09:21
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IMO A
Given a+b+c+d = 100
a =20
d is min so d<20
b +c+d =80
or b+c = 80-d
Since d < 20. => b+c > 59
Hence A = 55 is not possible
Given a+b+c+d = 100
a =20
d is min so d<20
b +c+d =80
or b+c = 80-d
Since d < 20. => b+c > 59
Hence A = 55 is not possible
Attachments
058876F2-8D47-45F9-996A-2ED62BB8741E.jpeg [ 27.78 KiB | Viewed 2337 times ]
