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SBI Junior Associate 2015 · Question 142 of 200

What will come in place of the question mark (?) in the given question? $$\frac{\frac{2}{5}}{1\frac{1}{15}}-\frac{1}{4}=?-\frac{2}{3}$$

simplification

  1. A19/24Correct
  2. B4/5
  3. C7/24
  4. D5/12
  5. E12/25

Answer: A. 19/24

Explanation

Expression : $$\frac{\frac{2}{5}}{1\frac{1}{15}}-\frac{1}{4}=?-\frac{2}{3}$$ => $$\frac{\frac{2}{5}}{\frac{16}{15}} = x + \frac{1}{4} - \frac{2}{3}$$ => $$\frac{2}{5} \times \frac{15}{16} = x - \frac{5}{12}$$ => $$\frac{3}{8} = x - \frac{5}{12}$$ => $$x = \frac{3}{8} + \frac{5}{12}$$ => $$x = \frac{9 + 10}{24} = \frac{19}{24}$$

Source: SBI Clerk 25 Jan 2015 Paper with Solutions — Cracku · reliable-secondary

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