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by Joy Shaha » Sun Sep 25, 2016 1:23 pm
Q. If the range of the six numbers 4, 3, 14, 7, 10 and x is 12, what is the
difference between the greatest possible value of x and the least possible
value of x?
A) 0 B) 2 C) 12 D) 13 E) 15
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by [email protected] » Sun Sep 25, 2016 6:22 pm
Hi Joy Shaha,

I'm going to give you some 'hints' so that you can try this question again on your own:

1) Range = (largest number) - (smallest number).
2) You're given 5 numbers and one variable and told that the range of this group is 12. What COULD X be to make the range = 12. Remember that it could be "big" or "small" relative to the other numbers in the group, so you have to think about both possibilities.

Final Answer: D

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by Matt@VeritasPrep » Thu Sep 29, 2016 7:30 pm
Range = (Largest # - Smallest #)

If we make x the smallest number,

Range = 14 - x

so x = 2.

If we make x the largest number,

Range = x - 3

so x = 15.

We're asked for (big x - little x), so (15 - 2), or 13.
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