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CAT 2025 Surds and Indices — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Surds and Indices

Difficulty

Hard

Question

Slot-3

If (x2+1x2)=25\left(x^2 + \dfrac{1}{x^2}\right) = 25 and x>0x > 0, then the value of (x7+1x7)\left(x^7 + \dfrac{1}{x^7}\right) is

44859344859\sqrt{3}

44856344856 \sqrt { 3 }

44853344853 \sqrt { 3 }

44850344850 \sqrt { 3 }

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