Concept: The question tests on the basics of fractions.

Solution:

The expression can be defined if the denominator is defined

  • a should not 2 if x is -2 (else the denominator would be 0 leading to an undefined value of the expression)
  • a should not be less than 2 else at x=-2 the value of a + x or a-2 will turn negative leading to an undefined denominator and hence an undefined fraction.

 

Thus the expression is not defined for a<= 2 

 

St (1) If a = 5 it is > 2 and hence YES is the answer derived for the question stem

(Sufficient)

 

St (2) If b   =6 we have the numerator as -2  + 6 =4 but we know nothing of the denominator. Hence (Insufficient).


Hence option (A)