Choosing a number set similar to a given number set ?
(68 , 34, 17)

Options

A. (66,33,11)
B. (27, 18 , 9)
C. (52,26, 13)
D. (36,18,12)

Explanation

To solve the problem of choosing a number set similar to the given number set (68, 34, 17), we need to identify the relationship between the numbers in the original set.

### Step-by-Step Solution:

1. **Identify the relationship in the original set:**
- The first number is 68.
- The second number is 34.
- The third number is 17.
- Notice that 34 is half of 68 (68 ÷ 2 = 34) and 17 is half of 34 (34 ÷ 2 = 17).

2. **Establish the pattern:**
- The pattern indicates that each number is half of the previous number.
- We can also see that the first number can be obtained by multiplying the third number by 4 (17 × 4 = 68).

3. **Check the options provided:**
- We need to find a set of numbers that follows the same pattern.
- Let's denote the numbers in the options as (x, y, z), where x is the first number, y is the second number, and z is the third number.

4. **Evaluate each option:**
- **Option 1:** (x, y, z) = (x, 33, 11)
- Check if 33 is half of x: x should be 66 (33 × 2).
- Check if 11 is half of 33: 11 × 2 = 22 (not equal to y).
- **Eliminate Option 1.**

- **Option 2:** (x, y, z) = (x, 27, 9)
- Check if 27 is half of x: x should be 54 (27 × 2).
- Check if 9 is half of 27: 9 × 2 = 18 (not equal to y).
- **Eliminate Option 2.**

- **Option 3:** (x, y, z) = (52, 26, 13)
- Check if 26 is half of 52: 52 ÷ 2 = 26 (correct).
- Check if 13 is half of 26: 26 ÷ 2 = 13 (correct).
- **Option 3 is valid.**

- **Option 4:** (x, y, z) = (x, 18, 12)
- Check if 18 is half of x: x should be 36 (18 × 2).
- Check if 12 is half of 18: 12 × 2 = 24 (not equal to y).
- **Eliminate Option 4.**

5. **Conclusion:**
- The only option that follows the same pattern as the original set (68, 34, 17) is Option 3: (52, 26, 13).

### Final Answer:
The correct answer is Option 3: (52, 26, 13).