State 'T' for true and 'F' for false.
(i) In 16.532, the digit 3 is in thousandths place
(ii) Every fraction or a decimal number can be represented on a number line.
(iii) The lowest form of 0.35 is `(7)/(20)`

Options

A. `{:(""(i),(ii),(iii)),(T,T,T):}`
B. `{:(""(i),(ii),(iii)),(T,F,F):}`
C. `{:(""(i),(ii),(iii)),(F,T,T):}`
D. `{:(""(i),(ii),(iii)),(F,T,F):}`

Answer

To solve the question, we need to evaluate each statement one by one and determine whether they are true (T) or false (F).

### Step 1: Evaluate Statement (i)
**Statement:** In 16.532, the digit 3 is in the thousandths place.

- The number 16.532 can be broken down as follows:
- The digit to the left of the decimal point (16) represents whole numbers (1s and 10s).
- The digit immediately after the decimal point (5) is in the tenths place.
- The next digit (3) is in the hundredths place.
- The last digit (2) is in the thousandths place.

**Conclusion:** The digit 3 is in the hundredths place, not the thousandths place. Therefore, this statement is **False (F)**.

### Step 2: Evaluate Statement (ii)
**Statement:** Every fraction or a decimal number can be represented on a number line.

- Fractions and decimal numbers can be plotted on a number line. For example:
- The fraction 1/2 can be represented as 0.5 on the number line, which lies halfway between 0 and 1.
- Similarly, any decimal number can be located between two whole numbers on the number line.

**Conclusion:** This statement is **True (T)**.

### Step 3: Evaluate Statement (iii)
**Statement:** The lowest form of 0.35 is (7)/(20).

- To convert 0.35 into a fraction:
- 0.35 can be written as 35/100.
- To simplify, we find the greatest common divisor (GCD) of 35 and 100, which is 5.
- Dividing both the numerator and denominator by 5 gives us:
- 35 ÷ 5 = 7
- 100 ÷ 5 = 20
- Therefore, 0.35 simplifies to 7/20.

**Conclusion:** This statement is **True (T)**.

### Final Answers:
- (i) F
- (ii) T
- (iii) T