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Order of Decimals and Percentages

CMAT 2024 · Quantitative Techniques & Data Interpretation · Easy · Fractions and Decimals

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Arrange the following in increasing order:

A) 1623%16\frac{2}{3}\% B) 215\frac{2}{15} C) 0.170.17 D) 0.25%0.25\% of 6464

Choose the correct answer from the options given below:

  1. A.

    B < D < A < C

  2. B.

    A < D < B < C

  3. C.

    C < D < B < A

  4. D.

    A < C < D < B

Answer

A

Explanation

Let's convert all values to decimals:

A) 1623%=16≈0.166716\frac{2}{3}\% = \frac{1}{6} \approx 0.1667 B) 215≈0.1333\frac{2}{15} \approx 0.1333 C) 0.170.17 D) 0.25%0.25\% of 64=1400×64=0.1664 = \frac{1}{400} \times 64 = 0.16

Comparing values: 0.1333<0.16<0.1667<0.17  ⟹  B<D<A<C0.1333 < 0.16 < 0.1667 < 0.17 \implies B < D < A < C.

Hence, Option A is correct.

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