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a, b, and c are integers and a < b < c. S is the set [#permalink]

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03 Jul 2005, 08:55

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a, b, and c are integers and a < b < c. S is the set of all integers k such that a <= k <=b . Q is the set of all integers l such that b <= l <= c. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers m such that a <= m <=c, what fraction of c is the median of set R?

S = {6,7,8,9,10,11,12} Q = {12,13,14,15,16} R = {6,7,8,9,10,11,12,13,14,15,16}

The median of the above set is 11 and 11 is 11/16 of 16, so C

Plz Rthothad
can you give me a more detailled explanation
how did you find that S has an odd number of terms and which one to include in it , for Q and R as well
thanks

Plz Rthothad can you give me a more detailled explanation how did you find that S has an odd number of terms and which one to include in it , for Q and R as well thanks

regards

Mandy

Since the median of set S is 3/4b & set Q is 7/8C. Pick a number that will be divisble by 8. So I chose 16.
So let C be 16 because this one has the maximum among a,b,c.
If C is 16, set Q's median number should be 7/8 * 8 = 14.
So this is how I arrived at set Q.
Similarly, I chose 12 for b and came up with set S.
Set R includes everything from Set S & Q. After building set R one can find the median and arrive at the answer.

AJB, Do you want to wait for some participants before posting the OA

Plz Rthothad can you give me a more detailled explanation how did you find that S has an odd number of terms and which one to include in it , for Q and R as well thanks

regards

Mandy

Since the median of set S is 3/4b & set Q is 7/8C. Pick a number that will be divisble by 8. So I chose 16. So let C be 16 because this one has the maximum among a,b,c. If C is 16, set Q's median number should be 7/8 * 8 = 14. So this is how I arrived at set Q. Similarly, I chose 12 for b and came up with set S. Set R includes everything from Set S & Q. After building set R one can find the median and arrive at the answer.

AJB, Do you want to wait for some participants before posting the OA

Plz Rthothad
Thanks just a least question how did u determine A AND 6 TO BE the beggining number in set S
Thanks again,
regards