In (a) the saturation mixing ratio depends on air temperature.  Warm air has a higher saturation mixing ratio than cold air.  So City A with a temperature of 80 F will have a higher saturation mixing ratio than City B.

In (b) you must look at the different between Tair and Td.  A small difference will mean the RH is high (remember if the Tair = Td the RH is 100%).  So City B where the difference is 20 F has a higher RH than City A where the difference is 40 F.

Dew point and mixing ratio have the same job, telling you how much water vapor is in the air.  A high dew point means a high mixing ratio.  So City B with a 50 F dew point has more water vapor in the air and a higher mixing ratio than City A.

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As the moist air begins to move up the side of the mountain along Path (a) it will expand and cool.  Initially the RH of the air is less than 100%.  The RH will increase along Path (a) as the air cools until the RH reaches 100%, that is where the cloud base becomes visible.

The air continues to rise, expand, and cool along Path (b).  The RH will remain constant at 100%.  Cooling air below its dew point causes water vapor to condense and fall to the ground as rain.  Water vapor is removed from the air and the mixing ratio will decrease along Path (b).

The air sinks along Path (c), this will warm the air and lower the RH.  The cloud disappears when the RH drops below 100%.  No water vapor is being added to the air as it moves along Path (c) so the mixing ratio won't change.