SBI Junior Associate 2014 · Question 21 of 200

What will come in place of the question mark (?) in the following questions ? $$3\frac{2}{5}\times12\frac{5}{4}-2\frac{1}{5}\times5\frac{1}{4}=?$$

simplification

A$$35\frac{1}{5}$$
B$$32\frac{5}{8}$$
C$$31\frac{3}{8}$$
D$$32\frac{2}{5}$$
E$$33\frac{1}{2}$$Correct

Answer: E. $$33\frac{1}{2}$$

Explanation

Expression : $$3\frac{2}{5}\times12\frac{5}{4}-2\frac{1}{5}\times5\frac{1}{4}=?$$ = $$(\frac{17}{5} \times \frac{53}{4}) - (\frac{11}{5} \times \frac{21}{4})$$ = $$\frac{901}{20} - \frac{231}{20} = \frac{901 - 231}{20}$$ = $$\frac{670}{20} = \frac{67}{2} = 33\frac{1}{2}$$

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

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