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CAT 2024 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 16

CAT 2024 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 3 :The surface area of a closed rectangular box, which is inscribed in a sphere, is 846 sq cm , and the sum of the lengths of all its edges is 144 cm . The volume, in cubic cm , of the sphere is

  1. \(750 \pi\)
  2. \(1125 \pi \sqrt{2}\)
  3. \(1125 \pi\)
  4. \(750 \pi \sqrt{2}\)

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Explanatory Answer


The question is "The surface area of a closed rectangular box, which is inscribed in a sphere, is 846 sq cm , and the sum of the lengths of all its edges is 144 cm . The volume, in cubic cm , of the sphere is"

Hence, the answer is '\(1125 \pi \sqrt{2}\)'

Choice B is the correct answer.

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