Bunuel wrote:
What is the tenths digit in the decimal representation of a certain number?
(1) The number is less than 1/3
(2) The number is greater than 1/4
Target question: What is the tenths digit in the decimal representation of a certain number? Statement 1: The number is less than 1/3 There are several values that satisfy statement 1. Here are two:
Case a: the number = 0.31, in which case the value of
the tenths digit is 3.
Case b: the number = 0.298, in which case the value of
the tenths digit is 2 Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 1: The number is greater than 1/4 There are several values that satisfy statement 2. Here are two:
Case a: the number = 0.31, in which case the value of
the tenths digit is 3.
Case b: the number = 0.298, in which case the value of
the tenths digit is 2 Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined IMPORTANT: Notice that I was able to use the
same counter-examples to show that each statement ALONE is not sufficient. So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: the number = 0.31, in which case the value of
the tenths digit is 3.
Case b: the number = 0.298, in which case the value of
the tenths digit is 2 Since we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent