Company: APXT
Filing Date: 2025-10-27
Form Type: S-1MEF
Source: 0001213900-25-102679
Chunk: 3

Company: Apex Treasury Corp
Filing Date: 2025-10-27
Form: S-1MEF
Chunk 3
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 in Exhibit 5.2).                 |
| 107         |     | Filing Fee Table.                                                           |

<div align='center'>II-1

SIGNATURES</div>

Pursuant to the requirements of the Securities
Act of 1933, as amended, the registrant has duly caused this Registration Statement to be signed on its behalf by the undersigned,
thereunto duly authorized, in Vero Beach, Florida, on the 27 day of October, 2025.

| APEX TREASURY CORPORATION |                            |
| By:                       | /s/ Hugh Cochrane          |
| Name:                     | Hugh Cochrane              |
| Title:                    | Co-Chief Executive Officer |

Pursuant to the requirements of the Securities
Act of 1933, this Registration Statement has been signed by the following persons in the capacities indicated on October 27,
2025.

| Name              |     | Position                                                      |
| /s/ Ajmal Rahman  |     | Co-Chief Executive Officer and Chairman                       |
| Ajmal Rahman      |     | -Co-Principal Executive Officer                               |
| /s/ Hugh Cochrane |     | Co-Chief Executive Officer and Director                       |
| Hugh Cochrane     |     | -Co-Principal Executive Officer                               |
| /s/ Paul Sykes    |     | Chief Financial Officer                                       |
| Paul Sykes        |     | -Principal Financial Officer and Principal Accounting Officer |

<div align='center'>II-2

AUTHORIZED REPRESENTATIVE IN THE UNITED STATES</div>

Pursuant to the requirements of Section 6(a) of
the Securities Act of 1933, the undersigned has signed this registration statement, solely in its capacity as the duly authorized
representative of Apex Treasury Corporation in Vero Beach, Florida, on the 27 day of October, 2025.

| APEX TREASURY CORPORATION |                            |
| By:                       | /s/ Hugh Cochrane          |
| Name:                     | Hugh Cochrane              |
| Title:                    | Co-Chief Executive Officer |

<div align='center'>II-3</div>