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Select the option, which is the logical equivalent of the statement given below: It is not true that both Hyderabad and Bangalore are in India.
1. Hyderabad is in India or Bangalore is in India.
2. Hyderabad is not in India and Bangalore is not in India.
3. Hyderabad is not in India and Bangalore is in India.
4. Hyderabad is in India and Bangalore is not in India.

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Correct Answer - Option 1 : Hyderabad is in India or Bangalore is in India.

Given statement : 

 It is not true that both Hyderabad and Bangalore are in India.

According to the given statement, either Hyderabad or Bangalore are in India because both Hyderabad and Bangalore are in India is not true.

1) Hyderabad is in India or Bangalore is in India - True as The word 'or' clearly implies that either Hyderabad or Bangalore are in India.

2) Hyderabad is not in India and Bangalore is not in India → False as it is given that Hyderabad and Bangalore are not in India but either of Hyderabad or Bangalore are in India

3) Hyderabad is not in India and Bangalore is in India → False as it is not definite that Banglore is in India from the statement, So, we can't sure about that.

4) Hyderabad is in India and Bangalore is not in India → False as it is not definite that Hyderabad is in India from the statement, So, we can't sure about that.

Hence, 'option 1' is the correct answer.

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