Question

In a survey of 700 students in a college, 180 were listed as drinking Limca, 275 as drinking Miranda, and 95 were listed as drinking both. How many students were drinking neither Limca nor Miranda?

• A. 360
• B. 350
• C. 340
• D. 320

Hint:

For problems involving two sets, use the inclusion-exclusion principle: \[ |A \cup B| = |A| + |B| - |A \cap B| \] Then subtract from the total to find those not in either set.

Answer 1

The Correct Option is C

Given: - Total students = 700 - Students drinking Limca = 180 - Students drinking Miranda = 275 - Students drinking both Limca and Miranda = 95 Using the set formula: \[ |L \cup M| = |L| + |M| - |L \cap M| \] \[ = 180 + 275 - 95 \] \[ = 360 \]
Thus, 360 students drink either Limca or Miranda. \[ \text{Students drinking neither} = \text{Total students} - |L \cup M| \] \[ = 700 - 360 = 340 \]
Thus, the correct answer is 340.