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CAT 2022 Surds and Indices — Previous Year Question

Year

CAT 2022

Section

Quantitative

Topic

Surds and Indices

Difficulty

Hard

Question

Slot-3

If (75)3xy=8752401\left(\sqrt{\frac{7}{5}}\right)^{3 x-y}=\frac{875}{2401} and (4ab)6xy=(2ab)y6x\left(\frac{4 a}{b}\right)^{6 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}, for all non-zero real values of aa and bb, then the value of x+yx+y is

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