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Consider the following question and decide which of the statements is/are sufficient to answer the question.Question:Find the value of x, ifStatement:1) \(\frac{1}{{x\;}} + \frac{1}{9}\; = \frac{1}{{27}}\)2) a2 + p2 = q21. Neither 1 nor 2 is sufficient.2. Only 2 is sufficient.3. Only 1 is sufficient.4. Either 1 or 2 is sufficient. |
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Answer» Correct Answer - Option 3 : Only 1 is sufficient. Given: \(\frac{1}{{x\;}} + \frac{1}{9}\; = \frac{1}{{27}}\) a2 + p2 = q2 Calculation: In the 1st condition, \(\frac{1}{{x\;}} + \frac{1}{9}\; = \frac{1}{{27}}\) ⇒ \(\;\frac{{9 + x}}{{9x}}\) = \(\frac{1}{{27}}\) ⇒ 9x = 27(9 + x) ⇒ x = 3(9 + x) ⇒ x = 27 + 3x ⇒ -2x = 27 ⇒ x = -13.5 In the second statement, 'x' is not given. ⇒ We cannot find 'x' using the second statement. Hence 'x' can find using 1st statement. |
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