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SSC CPO Tier 1 Exam 9 Dec 2025 Shift 2

Section: Quantitative Aptitude

Question : 117 of 200

Marks: +1, -0

Simplify:

\rm (0.625\div 2.5)\left(\frac{5}{8}\times 2\right)=?

Solution:

Concept:

Convert decimals to fractions and simplify using division and multiplication rules.

Explanation:

Rewrite 0.625 as

\frac{5}{8}

and 2.5 as

\frac{5}{2}

The expression becomes

\left(\frac{5}{8} \div \frac{5}{2}\right) \times \left(\frac{5}{8} \times 2\right)

Division by a fraction means multiply by its reciprocal:

\frac{5}{8} \div \frac{5}{2} = \frac{5}{8} \times \frac{2}{5} = \frac{1}{4}

Next,

\frac{5}{8} \times 2 = \frac{5}{8} \times \frac{2}{1} = \frac{10}{8} = \frac{5}{4}

Multiply the two results:

\frac{1}{4} \times \frac{5}{4} = \frac{5}{16}

Convert to decimal:

\frac{5}{16} = 0.3125

Answer:

Option C: 0.3125

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