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: Split the number into two halves. The given number is 2451376538. It has 10 digits. First half: 2 4 5 1 3 Second half: 7 6 5 3 8

Step 2: Arrange the digits in each half in ascending order. Ascending order of the first half (2 4 5 1 3) is: 1 2 3 4 5. Ascending order of the second half (7 6 5 3 8) is: 3 5 6 7 8.

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

Step 4: Compare the original number with the new number to find digits in the same position. Original Number: 2 4 5 1 3 7 6 5 3 8 New Number: 1 2 3 4 5 3 5 6 7 8 Let's check each position:

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 one digit, the '8' at the 10th position, remains in its original place.