Question

If t is a prime number, and x is a factor of 12, then t/x could be all of the following EXCEPT

Answer 1

All factors of 12 are {-12, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, 12}, so x is one of these numbers.

t is a prime, so t∈{2, 3, 5, 7, 11, 13, 17, 19, 23....}


A) t/x   cannot be 1/12, because 1 is not a prime.  NOT POSSIBLE

B) 1/4 = 3/12 ...... 3 is a prime and 12 is a factor of 12.  POSSIBLE

C) 1/2= 3/6  .....3 is a prime and 6 is a factor of 12.  POSSIBLE

D) 1 = 2/2....... 2 is a prime and 2 is a factor of 12.  POSSIBLE

E) 2 = 2/1 .......  2 is a prime and 1 is a factor of 12. POSSIBLE



Answer: A