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In an organisation 40% of the employees are matriculates, 50% of the remaining employees are graduates,…

There are 150 graduates. If the total number of employees is N, then 60% remain after the matriculates, 30% remain after the graduates, and 15% remain after the…

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In an organisation 40% of the employees are matriculates, 50% of the remaining employees are graduates, 50% of the remaining employees are post-graduates and the remaining 75 are Ph.D holders. How many employees are graduates?

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Correct answer C

There are 150 graduates. If the total number of employees is N, then 60% remain after the matriculates, 30% remain after the graduates, and 15% remain after the post-graduates. Thus 0.15N = 75, so N = 500 and the graduates number 0.30 × 500 = 150.

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