conundrum
noun
                                                                                                                            
                                                            co·nun·drum
                    
                                                                                                              
                                                                                                                                  kə-ˈnən-drəm  
                                                      
                                                          
            1
                    
        a
    
          
                                          
              
          
                                                      : an intricate and difficult problem                                      
              
                             
He is faced with the conundrum of trying to find a job without having experience.
                         
                
                    
        b
    
          
                                          
              
          
                                                      : a question or problem having only a conjectural answer                                      
              
                             
… the political conundrums involved, particularly the problem of how the richer areas … can be made to subsidize the poorer.— Douglass Cater
Douglass Cater
                         
                
                    2
                    
                                          
              
          
                                                      : a riddle whose answer is or involves a pun (as in "Why didn't the lost hikers starve in the desert? Because of the sand which is there.")                                      
                
                    
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  Merriam-Webster unabridged




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