Bunuel
Is q a negative number?
(1) -4q is a negative number.
(2) -q is a negative number.
Target question: Is q a negative number? Statement 2:-4q is a negative number. We know the following:
i) (POSITIVE)(POSITIVE) = POSITIVE
ii) (NEGATIVE)(POSITIVE) = NEGATIVE
iii) (NEGATIVE)(NEGATIVE) = POSITIVESo, statement 1 basically tells us that (NEGATIVE)(q) = NEGATIVE
So, from rule ii, we can see that q must be POSITIVE
In other words
q is NOT negative Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: -q is a negative number -q = (-1)(q). So, (-1)(q) is a negative number
So, statement 2 basically tells us that (NEGATIVE)(q) = NEGATIVE
So, from rule ii, we can see that q must be POSITIVE
In other words
q is NOT negative Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer:
RELATED VIDEO