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Choose one number which is similar to th...

Choose one number which is similar to the numbers in the given set of three numbers.
Given set : 363, 489, 579

A

562

B

471

C

382

D

281

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find a number from the given options that has a similar pattern to the numbers in the set: 363, 489, and 579. The pattern involves calculating the sum of the digits of each number and then reducing that sum to a single digit. ### Step-by-Step Solution: 1. **Calculate the sum of the digits for each number in the given set:** - For **363**: \[ 3 + 6 + 3 = 12 \] Now, reduce 12 to a single digit: \[ 1 + 2 = 3 \] - For **489**: \[ 4 + 8 + 9 = 21 \] Now, reduce 21 to a single digit: \[ 2 + 1 = 3 \] - For **579**: \[ 5 + 7 + 9 = 21 \] Now, reduce 21 to a single digit: \[ 2 + 1 = 3 \] All three numbers in the set reduce to the single digit **3**. 2. **Now, check each option to see which one also reduces to 3:** - **Option 1: 562** \[ 5 + 6 + 2 = 13 \] Reduce 13: \[ 1 + 3 = 4 \quad (\text{not equal to } 3) \] - **Option 2: 471** \[ 4 + 7 + 1 = 12 \] Reduce 12: \[ 1 + 2 = 3 \quad (\text{equal to } 3) \] - **Option 3: 382** \[ 3 + 8 + 2 = 13 \] Reduce 13: \[ 1 + 3 = 4 \quad (\text{not equal to } 3) \] - **Option 4: 281** \[ 2 + 8 + 1 = 11 \] Reduce 11: \[ 1 + 1 = 2 \quad (\text{not equal to } 3) \] 3. **Conclusion:** The only option that reduces to the same single digit (3) as the numbers in the set is **Option 2: 471**. ### Final Answer: **Option 2: 471**

To solve the problem, we need to find a number from the given options that has a similar pattern to the numbers in the set: 363, 489, and 579. The pattern involves calculating the sum of the digits of each number and then reducing that sum to a single digit. ### Step-by-Step Solution: 1. **Calculate the sum of the digits for each number in the given set:** - For **363**: \[ 3 + 6 + 3 = 12 ...
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