To solve the problem, we need to evaluate each of the four statements and determine if they are true (T) or false (F). Let's go through each statement step by step.
### Step 1: Evaluate the first statement
**Statement (i): A right angle is one fourth of a revolution.**
- A right angle measures 90 degrees.
- A full revolution measures 360 degrees.
- To find one fourth of a revolution, we calculate:
\[
\frac{360 \text{ degrees}}{4} = 90 \text{ degrees}
\]
- Since a right angle is indeed 90 degrees, this statement is **True (T)**.
### Step 2: Evaluate the second statement
**Statement (ii): Place value and face value are always equal at ones place.**
- The face value of a digit is the digit itself.
- The place value of a digit in the ones place is also the digit multiplied by 1.
- For example, if the digit is 5, then:
- Face value = 5
- Place value = 5 × 1 = 5
- Therefore, the face value and place value are equal at the ones place, making this statement **True (T)**.
### Step 3: Evaluate the third statement
**Statement (iii): The sum of two negative integers and a positive integer is always a negative integer.**
- Let's consider two negative integers, for example, -1 and -2, and a positive integer, say +5.
- The sum would be:
\[
(-1) + (-2) + 5 = -3 + 5 = 2
\]
- The result is 2, which is a positive integer, not a negative integer.
- Therefore, this statement is **False (F)**.
### Step 4: Evaluate the fourth statement
**Statement (iv): The successor of every whole number is a natural number.**
- Whole numbers include 0, 1, 2, 3, etc.
- The successor of a whole number is obtained by adding 1 to it.
- For example:
- The successor of 0 is 1 (natural number).
- The successor of 1 is 2 (natural number).
- The successor of 2 is 3 (natural number).
- Since the successor of every whole number is a natural number, this statement is **True (T)**.
### Final Summary of Statements
- (i) T
- (ii) T
- (iii) F
- (iv) T
### Answers:
- (i) T
- (ii) T
- (iii) F
- (iv) T
