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Understanding the Keywords and Types of Statements

These questions will throw a gauntlet of simple but contextually confusing words at the students. Some of these words/types of statements have been listed below:

  1. At least One element – It means One or more – Symbolically, we can represent this as: 1+
  2. Atmost one element – It means Zero or One – Symbolically, we can represent this as: 0/1
  3. Atmost two elements – It means Zero or One or
    Two – Symbolically, we can represent this as: 0/1/2.
  4. Conditional clauses [Read chapter “Logical Links” in this book to understand these conditional clauses better]:

If A is selected, then B will also be selected.


Following inferences can be drawn:

  1. If A is selected, B has to be selected.
  2. There cannot be a case where A is selected but B is not selected.
  3. It is possible that B has been selected but A may be / may not be selected.
  4. If B has not been selected, then we can conclude that A also has not been selected.
  5. It is not possible that B has not been selected, but A has been selected [repharsing of inference (b) above].

In a nutshell, A alone cannot be selected though B alone can be selected.


Go through the following problem sets to understand the type of problems and techniques to solve the same. Do not look at the solution till you are convinced that you have attempted it at your best level.





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