Both Leica M Typ 240 and Leica Q have Full frame sized 24.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the M Typ 240 and Q Typ 116 sensor size comparison.
Sensor Size and Resolution Comparison image of Leica M Typ 240 and Leica Q Cameras
Leica M Typ 240 and Leica Q have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.
DxOMark Sensor Scores
DxOMark is a benchmark that scientifically assesses image quality of camera sensors. It scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Leica M Typ 240 and Leica Q sensors have been tested by DxO and the results show that Q Typ 116 has a better overall score of 85, 1 points higher compared to M Typ 240's score of 84.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Leica M Typ 240
84
24.0 bits
13.3 Evs
1860 ISO
Leica Q
85
24.3 bits
12.7 Evs
2221 ISO
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Leica M Typ 240
or the
Leica Q ,
including hyperfocal distance.