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
Number
This topic has expert replies
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
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
GMAT assassins aren't born, they're made,
Rich
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
GMAT assassins aren't born, they're made,
Rich
-
- GMAT Instructor
- Posts: 2630
- Joined: Wed Sep 12, 2012 3:32 pm
- Location: East Bay all the way
- Thanked: 625 times
- Followed by:119 members
- GMAT Score:780
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.
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.