4th Class Mental Ability Algebra Question Bank Algebra

  • question_answer
    When fractions represented by shaded parts in Figures (a), (b) and (c) are added, the resulting fraction is:

    A)  \[2\frac{3}{4}\]            

    B)         \[1\frac{3}{4}\]

    C)  \[1\frac{1}{4}\]            

    D)        \[2\frac{1}{4}\]

    E) None of these

    Correct Answer: B

    Solution :

    Explanation: Option (b) is correct. Sum of fractions represented by all shaded parts: =\[1+\frac{1}{2}+\frac{1}{4}\] =\[\frac{1}{1}+\frac{1}{2}+\frac{1}{4}\] =\[\frac{1\times 4}{1\times 4}+\frac{1\times 2}{2\times 2}+\frac{1}{4}\] =\[\frac{4}{4}+\frac{2}{4}+\frac{1}{4}\] =\[\frac{4+2+1}{4}\] =\[\frac{7}{4}=1\frac{3}{4}\] Rest of the options is incorrect because of the correctness of option (b).

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