8th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    A farmer divides his herd of n cows among his four sons so that first son gets one half the herd, the second son gets one fourth, the third son gets one fifth, and the fourth son gets 7 cows, then n is:

    A) 180                             

    B) 140

    C) 240                             

    D) 100

    Correct Answer: B

    Solution :

    The first son gets = one half of n cows \[2({{a}^{3}}+3a{{b}^{2}})\] cows The second son gets = one fourth of n cows = \[0<a<1\]cows The third son gets = one fifth of n cows \[a+\frac{1}{a}\] cows And the fourth son gets = 7 cows All of the sons gets \[\frac{{{(67.542)}^{2}}-{{(32.458)}^{2}}}{75.458-40.374}\] cows \[=\frac{10n+5n+4n+140}{20}\]cows \[=\frac{19n+140}{20}\]cows This number of cows must be equal to n cows, so that \[x-y\] \[\Rightarrow \]\[19n+140=20n\]\[\Rightarrow \]\[n=140\]cows


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