8th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

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    DIRECTION: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statement carefully and select the answer to these items using the code given below. Assertion (A): If ?d? is x% more than ?b? and ?b? is y% less than 'a'. Then the relation between x and y is \[{{n}_{1}}+{{n}_{2}}+.....{{n}_{k}}\] Reason (R): If ?a? exceeds 'b? by P % then 'b? is short of 'a' by \[V={{V}_{0}}{{\left( 1-\frac{{{R}_{1}}}{100} \right)}^{{{n}_{1}}}}.{{\left( 1-\frac{{{R}_{2}}}{100} \right)}^{{{n}_{2}}}}....{{\left( 1-\frac{{{R}_{k}}}{100} \right)}^{{{n}_{k}}}}\]

    A) Both A and R are individually true and R is the correct explanation of A.

    B) Both A and R are individually true but R is not the correct explanation of A.

    C) A is true but R is false

    D) A is false but R is true.

    Correct Answer: A

    Solution :

    Both statements are correct and Reason is the correct explanation for Assertion. We have,   \[y=\frac{100\times x}{100+x}\] \[R=10%\] \[CI-SI=\frac{R\times SI}{2\times 100}\]


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