Question

The positions of how many digits in the number 2451376538 will remain same when the first half and the second half of the digits are arranged in ascending order separately?

• A. One
• B. Two
• C. Three
• D. Zero

Hint:

For position-based digit problems, it's crucial to write the original and new numbers directly above each other. This makes visual comparison easy and reduces the chance of error.

Answer 1

The Correct Option is A

Step 1: Divide the number into two parts.The input number, 2451376538, has 10 digits.First half: 2 4 5 1 3Second half: 7 6 5 3 8

Step 2: Sort the digits within each half in ascending order.Sorted first half (2 4 5 1 3): 1 2 3 4 5.Sorted second half (7 6 5 3 8): 3 5 6 7 8.

Step 3: Combine the sorted halves to create a new number.The new number is 1234535678.

Step 4: Compare the original and new numbers to identify digits in the same position.Original Number: 2 4 5 1 3 7 6 5 3 8New Number: 1 2 3 4 5 3 5 6 7 8Comparison:

Pos 1: 2 vs 1 (Different)
Pos 2: 4 vs 2 (Different)
Pos 3: 5 vs 3 (Different)
Pos 4: 1 vs 4 (Different)
Pos 5: 3 vs 5 (Different)
Pos 6: 7 vs 3 (Different)
Pos 7: 6 vs 5 (Different)
Pos 8: 5 vs 6 (Different)
Pos 9: 3 vs 7 (Different)
Pos 10: 8 vs 8 (Same)
Only the digit '8' at position 10 remains in its original place.