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Year

CAT 2024

Section

Quantitative

Topic

Surds and Indices

Difficulty

Hard

Question

Slot-1

The sum of all real values of kk for which (18)k×(132768)13=18×(132768)1k\left(\frac{1}{8}\right)^k \times\left(\frac{1}{32768}\right)^{\frac{1}{3}}=\frac{1}{8} \times\left(\frac{1}{32768}\right)^{\frac{1}{k}} , is

23\frac{2}{3}

23-\frac{2}{3}

43\frac{4}{3}

43-\frac{4}{3}

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