Bunuel wrote:
A computer generates non-zero numbers for the figure above such that the product of the numbers along any vertical column is equal to the product of the numbers in any horizontal row. What number does s represent?
(1) u = 6
(2) t = 2
Attachment:
2021-01-04_23-17-02.png
Given: A computer generates non-zero numbers for the figure above such that the product of the numbers along any vertical column is equal to the product of the numbers in any horizontal row. From this information we can conclude that:
8ut = 4tsTarget question: What number does s represent? Statement 1: u = 6 Take:
8ut = 4tsReplace u with 6 to get:
8(6)t = 4tsSimplify:
48t = 4tsSince we're told t is a NON-ZERO number we can safely divide both sides by t to get:
48 = 4s, which means
s = 12Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: t = 2Take:
8ut = 4tsReplace t with 2 to get:
8u(2) = 4(2)sSimplify:
16u = 8sDivide both sides by 8 to get:
2u = s There are infinitely many values of u and s that satisfy this equation. Here are two:
Case a: u = 1 and
s = 2Case b: u = 3 and
s = 6Since we can’t answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent