SSC Quantitative Aptitude Average Question Bank Average (II)

  • question_answer
    The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. What is the weight of A? [SSC CGL Tier n, II, 2017]

    A) 70 kg

    B) 72 kg

    C) 75 kg

    D) 80 kg

    Correct Answer: C

    Solution :

    [c] \[A+B+C=84\times 3=252\]                     …(i) Same as,\[A+B+C+D=80\times 4=320\] …(ii) From Eq. (i) and (ii), D = 68 \[E=D+3=68+3\]\[\Rightarrow \]\[F=71\] Now,     \[B+C+D+E=79\times 4=316\] \[\Rightarrow \]   \[B+C+68+71=316\] \[\Rightarrow \]   \[B+C+139=316\] \[\Rightarrow \]   \[B+C=316-139\] \[\Rightarrow \]   \[6+C=177\]                             ...(iii) Now, from Eq. (i) and (iii), \[A+B+C=252\] \[\Rightarrow \]   \[A+177=252\] \[\Rightarrow \]   \[A=252-177=75\] \[\Rightarrow \]   A = 75 kg Hence, weight of A =75 kg.


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