What will come in place of question mark… | Answer

Subject

Quantitative Aptitude

Topic

Simplification

ক)

(x+1)

খ)

(x -1)

গ)

(1/x)

ঘ)

ঙ)

None of these

\begin{array}{l} \left( {1 - \frac{1}{2}} \right)\left( {1 - \frac{1}{3}} \right)\left( {1 - \frac{1}{4}} \right)\left( {1 - \frac{1}{5}} \right) \ldots \ldots .\left( {1 - \frac{1}{x}} \right) = ?\\ \Rightarrow ? = \left( {1 - \frac{1}{2}} \right)\left( {1 - \frac{1}{3}} \right)\left( {1 - \frac{1}{4}} \right)\left( {1 - \frac{1}{5}} \right) \ldots \ldots .\left( {1 - \frac{1}{{x - 1}}} \right)\left( {1 - \frac{1}{x}} \right)\\ \Rightarrow ? = \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \ldots \ldots . \times \left( {\frac{{x - 2}}{{x - 1}}} \right)\left( {\frac{{x - 1}}{x}} \right) \end{array}

⇒ ? = 1/x Hence, the required answer is (1/x)

x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)}

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