Discussion
How many failed in only one language ?
Answer: C
250 students failed in only one language.
For each language subtract the two pairs that include it and add back the 30 who were subtracted twice:
\[ \begin{aligned} \text{Marathi only} &= 220 - 125 - 70 + 30 = 55 \\ \text{English only} &= 300 - 125 - 60 + 30 = 145 \\ \text{Hindi only} &= 150 - 70 - 60 + 30 = 50 \\ \text{total} &= 55 + 145 + 50 = 250 \end{aligned} \]
Check: 250 in one language, 165 in exactly two and 30 in all three make 445 who failed at least once, which agrees with \(670 - 255 + 30 = 445\). 165 is the exactly-two count, and 195 and 255 are wrong pair totals.
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