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My answer is B.

If we have the difference of any two numbers in the set X greater than 4, the range will be at least equal to that difference, so it will be as well greater than 4
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My 2 Cents on B !!!! Clearly A-B>4....sufficient enough to tell range atleast 4
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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

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I want to pick C.

1. a is the greatest number in X. This info is insufficient as it tells us nothing about the value of a or what the other variables are.

2. a-d>4
This info is also insufficient as we still don't know what the other variables are.

Together:
Since we know that a is the greatest number in the set, a-d>4 tells us that
(The greatest value) - d > 4.
Even if d is not the smallest number to give us the range of set X we know that the range has to be greater than a-d, which is much greater than 4.
If d is the smallest value of the set then the range surely has to be be greater than 4.

So together we can only assume that the range must be greater than 4.
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It still should be B. Even if a is not the greatest number of all, still the range is at least 5. If b or c are even greater than a, the range will be greater accordingly.
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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

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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.
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Bunuel
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.

Similar question to practice: if-s-is-a-set-of-four-numbers-w-x-y-and-z-is-the-range-o-166184.html
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