In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice.

Explanation

To solve the problem step by step, we will use the principle of set theory.

### Step 1: Define the Sets
Let:
- Set A = Students taking apple juice
- Set O = Students taking orange juice

From the question:
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