Thanks for sending me the report.
I was able to see that your system is using BIOS v 2.1. According to Lenovo’s web page there are 2 newer BIOS that you may want to try.
Please try to update the BIOS to version 2.2 first before going to the latest version. Laptops and netbooks :: ThinkPad X Series laptops :: ThinkPad X240 - Lenovo Support (US)
Regarding the Graphics driver, I would recommend trying the driver provided by Lenovo. Remember that we offer generic drivers and sometimes they do not work as expected on OEM system. Laptops and netbooks :: ThinkPad X Series laptops :: ThinkPad X240 - Lenovo Support (US)
DxDiag reports that incorrectly, I'm running 2.27 on my BIOS, the latest.
And I had used the Lenovo drivers in the past to no avail, but I checked their website and they released a new driver yesterday (11/11/14):
Driver Date: 9/30/2014
Driver Version: 10.18.10.3958
I installed it and it fixed my problem, both monitors are working now!