Bunuel
If X is a set of four numbers, a, b, c, and d, is the range of the numbers in X greater than 4?
(1) a is the greatest number in X
(2) a – d > 4
Kudos for a correct solution. OFFICIAL SOLUTION:To solve this problem, you have to be able to say with certainty that the range is greater than 4.
range = largest value – smallest value
Statement (1) tells you nothing to help you determine the range. It tells you which variable is largest, but you don’t know its value or the value of the lowest variable. Statement (1) isn’t sufficient, so the answer isn’t A or D.
Statement (2) tells you that the difference between two of the values, d and a, is more than 4. This is helpful because if any of the two numbers in the set have a difference of more than 4, the range, at the very least, has to be greater than 4. Statement (2) is sufficient, and you can eliminate C and E. Choose B.