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p,q,r,s and t are five consecutive even integers

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bhumika.k.shah Legendary Member Default Avatar
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p,q,r,s and t are five consecutive even integers

Post Tue Feb 09, 2010 9:47 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Hi , i needed to know different approaches to solve this problem. Since i couldnt find it posted previously on btg i thought of posting it as a new topic.

    Though i got OGs explanation i wanted to know various approaches it can be solved in, If any .


    p q r s t

    93. On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these fi ve integers?

    (1) q + s = 24
    (2) The average (arithmetic mean) of q and r is 11.

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    outreach Legendary Member
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    Post Tue Feb 09, 2010 10:16 am
    a)
    q+s=24
    now p, q, r, s, and t are five consecutive even integers
    q=10 and s=14 satisfies the requirement

    sufficient

    b)
    (q+r)/2=11
    q+r=22
    now p, q, r, s, and t are five consecutive even integers
    q=10 and r=12 satisfies the requirement

    sufficient

    Thanked by: Gmatprep13
    thephoenix Legendary Member
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    Post Tue Feb 09, 2010 10:27 am
    we know that
    q=p+2
    r=p+4,s=p+6,t=p+g8

    we are given one eqn and we need to know one variable in order to find the avg

    1)hence one eqn---one variable is suff

    2) same one eqn one variable...suff

    another appraoch
    q+s=p+2+p+6=24 solving p=8
    series=8,10,12,14,16 avg=12
    suff

    q+r=q+q+2=11*2--->q=10

    therefore ser=8,10,12,14,16
    avg=12
    suff

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