We want: Number of students taking graduate courses.
Total students = 250.
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Statement (1):
200 students are taking undergraduate courses.
That means the rest (250 – 200 = 50) are either taking only graduate OR graduate + undergrad.
But we don’t know how many are taking both.
So we cannot find exact graduate number.
👉 Not sufficient.
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Statement (2):
50 students are taking both undergrad and grad.
Good to know, but we don’t know how many are in undergrad or total distribution.
👉 Not sufficient.
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Combine (1) + (2):
200 undergrad total.
50 of those are also in grad.
So undergrad only = 200 – 50 = 150.
Total students = 250.
So grad students = Total – Undergrad only = 250 – 150 = 100.
👉 Sufficient.---
Answer: C (Both statements together are sufficient, but alone neither is).