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CAT 2020 Surds and Indices — Previous Year Question

Year

CAT 2020

Section

Quantitative

Topic

Surds and Indices

Difficulty

Medium

Question

Slot-1

If x=(4096)7+43x = (4096)^{7+4\sqrt{3}}, then which of the following equals 64?

x7/2x4/3\frac{x^{7/2}}{x^{4/\sqrt{3}}}

x7x43\frac{x^{7}}{x^{4\sqrt{3}}}

x7/2x23\frac{x^{7/2}}{x^{2\sqrt{3}}}

x7x23\frac{x^{7}}{x^{2\sqrt{3}}}

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