| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion [A] Denominator of |
| \[34.12345\]. When expressed in the form \[\frac{p}{q},q\ne 0\], is of the form \[{{2}^{m}}\times {{5}^{n}}\], where m, n are non-negative integers. |
| Reason [R] 34.L2345 is a terminating decimal fraction. |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is False.
D) A is false; R is true.
Correct Answer: A
Solution :
| Reason is clearly true. |
| Again \[34.12345=\frac{3412345}{100000}=\frac{682469}{20000}\] |
| \[=\frac{682469}{{{2}^{5}}\times {{5}^{4}}}\] |
| Its denominator is of the form \[{{2}^{m}}\times {{5}^{n}}\] |
| \[\left[ \begin{align} & m=5,\,n=4\,are \\ & non-negative\,\operatorname{int}egers \\ \end{align} \right]\] |
| Assertion and Reason both are true and Reason is the correct explanation of Assertion. |
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