SBI Junior Associate 2015 · Question 145 of 200

What will come in place of the question mark (?) in the given question? $$\frac{256^{\frac{1}{4}}}{1\frac{3}{5}}-\frac{3}{5}=?$$

simplification

A$$5\frac{7}{10}$$
B$$3\frac{5}{8}$$
C$$1\frac{9}{10}$$Correct
D$$1\frac{3}{5}$$
E$$2\frac{4}{5}$$

Answer: C. $$1\frac{9}{10}$$

Explanation

Expression : $$\frac{256^{\frac{1}{4}}}{1\frac{3}{5}}-\frac{3}{5}=?$$ = $$\frac{4^{4 \times \frac{1}{4}}}{\frac{8}{5}} - \frac{3}{5}$$ = $$\frac{4 \times 5}{8} - \frac{3}{5}$$ = $$\frac{5}{2} - \frac{3}{5}$$ = $$\frac{25 - 6}{10}$$ = $$\frac{19}{10} = 1\frac{9}{10}$$

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

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