Question

ɸ(ɸ(1001) =

• A. 144
• B. 192
• C. 298
• D. 96

Answer 1

Answer:

B. 192

1001 = 7 X 11 X 13 ɸ(1001) = ɸ (7X11X13) = ɸ (7) X ɸ (11) X ɸ (13) = 6X 10 X 12 = 720 ɸ(ɸ(1001)) = ɸ(720) = ɸ(2 X 3 X 2 X 5 X 2² X 3) =ɸ(2⁴ X 3² X 5) =3⁴ X 3² X 5 (1- 1/2 )(1-1/3)(1-1/5) = 3⁴ X 3² X 5 X 1/2 X 2/3 X 4/5 =2⁴ X 3 X 4 = 192