If the first half of the given number string is written in the ascending order and then the second half of the string is written in the descending order, which number will come 10th to the left of the 24th number from the left?
(Left) 9 5 8 4 1 2 6 5 8 9 5 2 5 4 7 8 9 2 5 7 2 5 9 8 7 4 5 6 3 5 8 7 (Right)

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  1. 8
  2. 6
  3. 9
  4. 7

Answer (Detailed Solution Below)

Option 3 : 9
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Detailed Solution

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Given: The number string (Left) 9 5 8 4 1 2 6 5 8 9 5 2 5 4 7 8 9 2 5 7 2 5 9 8 7 4 5 6 3 5 8 7 (Right)

The first half consists of the first 32 / 2 = 16 numbers:

9 5 8 4 1 2 6 5 8 9 5 2 5 4 7 8

Write the first half in ascending order.

Arranging the numbers in the first half from smallest to largest:

1 2 2 4 4 5 5 5 6 7 8 8 8 9 9 9

Determine the second half of the number string.

The second half consists of the last 16 numbers:

9 2 5 7 2 5 9 8 7 4 5 6 3 5 8 7

Write the second half in descending order.

9 9 8 8 7 7 7 6 5 5 5 4 3 2 2 2

Combine the modified first and second halves.

The new number string is:

1 2 2 4 4 5 5 5 6 7 8 8 8 9 9 9 9 9 8 8 7 7 7 6 5 5 5 4 3 2 2 2

Determine the 24th number from the left.

1 2 2 4 4 5 5 5 6 7 8 8 8 9 9 9 9 9 8 8 7 7 7 6 5 5 5 4 3 2 2 2

Counting the numbers from the left, the 24th number is 6.

Determine the 10th number to the left of the 24th number.

The 10th number to the left of the 24th number is at position 24 - 10 = 14 from the left.

1 2 2 4 4 5 5 5 6 7 8 8 8 9 9 9 9 9 8 8 7 7 7 6 5 5 5 4 3 2 2 2

The 14th number from the left is 9.

Thus, the number that will come 10th to the left of the 24th number from the left is 9.

Hence, the correct answer is "Option 3".

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