STATEMENT-1 The accuracy in final result of an experiment is always less than the accuracy of any one of the quantities used to find it
STATEMENT-2 The accuracy with which you can report any reading depends on least count of measuring instrument
STATEMENT-3 Making a number of readings of a given quantity and taking an average will reduce the systematic errors

Options

A. TFT
B. TTT
C. FFT
D. TTF

Answer

To analyze the statements provided in the question, we will evaluate each statement one by one and determine their validity based on the principles of accuracy, precision, and error in measurements.

### Step-by-Step Solution:

**Step 1: Evaluate Statement 1**
- **Statement**: "The accuracy in the final result of an experiment is always less than the accuracy of any one of the quantities used to find it."
- **Analysis**: When calculating a derived quantity (like a product or quotient), the errors in the measurements of the individual quantities contribute to the overall error in the final result. For example, if we have a result \( x = a \times b \), the total error in \( x \) is influenced by the errors in \( a \) and \( b \). Thus, the accuracy of the final result is indeed less than that of the individual measurements.
- **Conclusion**: This statement is **True**.

**Step 2: Evaluate Statement 2**
- **Statement**: "The accuracy with which you can report any reading depends on the least count of measuring instrument."
- **Analysis**: The least count of an instrument is the smallest value that can be measured accurately with that instrument. Therefore, the precision and accuracy of readings depend on the least count. A smaller least count allows for more precise measurements, which directly affects the accuracy of reported readings.
- **Conclusion**: This statement is **True**.

**Step 3: Evaluate Statement 3**
- **Statement**: "Making a number of readings of a given quantity and taking an average will reduce the systematic errors."
- **Analysis**: Systematic errors are consistent and repeatable inaccuracies that are inherent to the measurement process or instrument. Averaging multiple readings primarily helps in reducing random errors, which are due to unpredictable variations in measurements. Systematic errors can only be minimized through calibration or correction methods, not by averaging.
- **Conclusion**: This statement is **False**.

### Final Conclusion:
- **Statement 1**: True
- **Statement 2**: True
- **Statement 3**: False

Thus, the correct answer is that Statement 1 and Statement 2 are true, while Statement 3 is false.