All the people in a locality read the daily newspaper Indian Express or Hindustan Times or both If 120 read Indian Express and 150 read Hindustan Times and 36 read both , find ,
how many people read only Indian Express.

Answer

To find out how many people read only the Indian Express newspaper, we can follow these steps:

### Step 1: Define the Sets
Let:
- \( P \) = the set of people who read Indian Express
- \( Q \) = the set of people who read Hindustan Times

### Step 2: Identify the Given Information
From the problem, we know:
- \( N(P) = 120 \) (the number of people who read Indian Express)
- \( N(Q) = 150 \) (the number of people who read Hindustan Times)
- \( N(P \cap Q) = 36 \) (the number of people who read both newspapers)

### Step 3: Use the Formula for Only Indian Express Readers
To find the number of people who read only Indian Express, we can use the formula:
\[ N(\text{Only } P) = N(P) - N(P \cap Q) \]

### Step 4: Substitute the Values
Now, substitute the known values into the formula:
\[ N(\text{Only } P) = N(P) - N(P \cap Q) \]
\[ N(\text{Only } P) = 120 - 36 \]

### Step 5: Calculate the Result
Now, perform the calculation:
\[ N(\text{Only } P) = 120 - 36 = 84 \]

### Conclusion
Thus, the number of people who read only the Indian Express is **84**.

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