6th Class Mathematics Arithmetic Question Bank Arithmetic

  • question_answer Direction: The questions in this segment consists of two statements, one labelled as "Assertion? and the other labelled as" Reason (R)". You are to examine these two statements carefully and decide the assertion A and reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these interns using codes given below. Assertion: If \[\frac{1}{5}:\frac{1}{x}::\,\frac{1}{x}\,:\frac{1}{1.25}\] then the value of x is 2.5. Reason (R): Three quantities a, b, c are said to be in continued proportion if \[a:b=6:c\,\,\text{ie},\,{{b}^{2}}=ac\]

    A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

    B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

    C) If Assertion is correct but Reason is incorrect.

    D) If Assertion is incorrect but Reason is correct.

    Correct Answer: A

    Solution :

    Assertion: \[{{\left( \frac{1}{x} \right)}^{2}}=\frac{1}{5}\times \frac{1}{1.25}\,=\frac{20}{125}\,=\frac{4}{25}\] \[\Rightarrow \,\frac{1}{x}=\frac{2}{5}\Rightarrow \,x=2.5\].

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