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SBI Junior Associate 2014 · Question 14 of 200

What will come in place of the question mark (?) in the following questions ? $$32\frac{3}{4}+28\frac{1}{2}\times5\frac{1}{3}-12\frac{1}{6}=?+5\frac{1}{4}$$

simplification

  1. A$$174\frac{2}{3}$$
  2. B$$167\frac{1}{3}$$Correct
  3. C$$166\frac{11}{12}$$
  4. D$$166\frac{1}{12}$$
  5. E$$172\frac{7}{12}$$

Answer: B. $$167\frac{1}{3}$$

Explanation

Expression : $$32\frac{3}{4}+28\frac{1}{2}\times5\frac{1}{3}-12\frac{1}{6}=?+5\frac{1}{4}$$ => $$\frac{131}{4} + (\frac{57}{2} \times \frac{16}{3}) - \frac{73}{6} = ? + \frac{21}{4}$$ => $$? = \frac{131}{4} + 152 - \frac{73}{6} - \frac{21}{4}$$ => $$? = 152 + \frac{393 - 146 - 63}{12}$$ => $$? = 152 + \frac{46}{3} = 152 + 15\frac{1}{3}$$ => $$? = 167\frac{1}{3}$$

Source: SBI Clerk 27 July 2014 Paper with Solutions — Cracku · reliable-secondary

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