In a group of people, 40% are male, and the rest are female. Among the females, 40% are graduates, and the remaining are postgraduates. If the total number of female postgraduates is 360, what is the number of males in the group?

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  1. 200
  2. 300
  3. 400
  4. 500
  5. 600

Answer (Detailed Solution Below)

Option 3 : 400
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Let the total number of people in the group be x.

40% are male, so the number of males =0.4x

The rest are female, so the number of females = x - 0.4x = 0.6x

40% are graduates, so the number of female graduates = 0.4 × 0.6x = 0.24x

The remaining females are postgraduates, so the number of female postgraduates = 0.6x - 0.24x = 0.36x 

Given that the number of female postgraduates is 360:

0.36x = 360

x = 360 / 0.36 = 1000

Number of males = 0.4x = 0.4 × 1000 = 400

Thus, the number of males in the group is 400.

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