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median of r,s and t?

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pappueshwar Really wants to Beat The GMAT! Default Avatar
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median of r,s and t? Post Wed Mar 14, 2012 10:57 am
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  • Lap #[LAPCOUNT] ([LAPTIME])
    If r,s and t are different positive integers, what is the median of r,s and t?

    1) r+s+t=6
    2) rs=2


    OA IS D . i feel the answer is C

    stmnt : 1 r+ s + t = 6
    0+ 1 +5 = 6
    1+ 2 + 3= 6 (so median cant be figured)

    stmtn : 2 rs = 2, we dont know the value of T.

    Together: r+s+t = 6 & rs = 2
    1+2+t = 6;
    2+1+t = 6
    in which ever way it is t= 6-2 = 3

    There fore r= 1 s=2 t = 3 median is 2 since for finding the median, the values need to be arranged in ascending or descending order.
    C is the answer .

    request to let me know where i am going wrong

    Thanked by: rahulvsd
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    Mike@Magoosh GMAT Instructor
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    Post Wed Mar 14, 2012 2:49 pm
    Hi, I'm happy to help with this. Smile

    The key to this problem is the phrase: " r,s and t are different positive integers." Zero is not a positive number --- zero is the only integer that is neither positive nor negative. Therefore, we can't use zero as one of the numbers.

    In Statement #1, the only possibility is {1, 2, 3} in some order, so the median has to be 2

    In Statement #2, we know r & s are 1 & 2, in some order, and t is a larger positive integer (since 1 and 2 are the two smallest positive integers). Then, of the three numbers 1, 2, and t, 2 is the median.

    Both statements are sufficient. Answer = D

    Does this make sense? Let me know if you have any questions.

    Mike Smile

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    pappueshwar Really wants to Beat The GMAT! Default Avatar
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    Post Wed Mar 14, 2012 7:38 pm
    mike thanks...

    did nt see the question from that perspective at all... lol Smile

    thanks once again

    sam2304 GMAT Titan
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    Post Thu Mar 15, 2012 12:39 am
    given r,s,t are different +ve integers

    1.r+ s + t = 6

    So for sum of r,s,t to be 6 we have only one possibility = {1,2,3}

    Median = 2. SUFF

    2. rs =2.

    different positive integers again and we have only 1*2 giving rs = 2. t has to be greater than 2. Be it any number median is again 2. SUFF.

    IMO D.

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