talaangoshtari wrote:How many integers between 1 and 300, inclusive, can be expressed as x^y, where x and y are integers greater than 1?
A.17
B.23
C.24
D.30
E.31
2²...2� --> 7 options
Note:
SInce 4, 8 and 16 can be written as 2², 2³, and 2�, respectively, the 7 options above include all of the viable options for 4, 8 and 16.
3²...3� --> 4 options
Note:
Since 9 can be written as 3², the 4 options above include all of the viable options for 9.
5² and 5³ --> 2 options
6² and 6³ --> 2 options
7², 10², 11², 12², 13², 14², 15², 17² --> 8 options
Total options = 7+4+2+2+8 = 23.
The correct answer is
B.
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