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Aptitude Day 156


Problems on Average:

 1. The average of the two-digit numbers, which remain the same when the digits interchange their positions, is:

Solution:
                    Average = Sum of observations/ Number of observations
                                    = (11+22+33+44+55+66+77+88+99)/ 9
                                    = [(11+99)+(22+88)+(33+77)+(44+66)+55]/9
                                    = [4(110)+55]/9
                                    = 495/9
                                    = 55.

2. The average of non-zero number and its square is 9 times the number. The number is:

Solution:
                 (x+x2)/2 = 9x
                  x+x2 = 18x
                  x2 -17x = 0
                  x(x-17) = 0
                  x = 0, 17.

                The non-zero value is 17.


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