How do I solve the following?

If it is sunny, I am wet. If I wear a raincoat, I sweat. When it rains, there is no sun, but I am dry; and when there is wind and no sun, my sweat evaporates. In a rainy day, if it is windy and I wear a raincoat, which one of the following statements is most appropriate?

  • (A) I am dry
  • (B) I am wet
  • (C) I sweat
  • (D) I sweat and my sweat evaporates

Source: APSC CCE Paper 1, State and Country: Assam, India; Conducted on: 12 September 2021


1 Answer 1


You are given four statements; let's rewrite them in more basic/formal notation.

  1. SUNNY implies WET.
  2. RAINCOAT implies SWEAT.
  3. RAINY implies (DRY and NOT SUNNY).

In the given situation, it is RAINY and WINDY and you wear a RAINCOAT. By 2, you SWEAT. By 3, you are DRY and it is NOT SUNNY. By 4, your SWEAT EVAPORATES. So the answer to your problem could be either a or d.

  • $\begingroup$ What's wrong with A? $\endgroup$
    – msh210
    Sep 22, 2021 at 22:41
  • $\begingroup$ @msh210 It's possible, but D is the only one that can definitely be deduced. The question asks for "most appropriate" of the four possible answers. $\endgroup$ Sep 23, 2021 at 6:21
  • 1
    $\begingroup$ A can be deduced. You do so in this answer. $\endgroup$
    – msh210
    Sep 23, 2021 at 15:25
  • $\begingroup$ @msh210 Sorry, I think I was confusing WET and DRY. Edited, and ugh, that kind of makes it a bad puzzle. $\endgroup$ Sep 23, 2021 at 16:42

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