How to solve CAT 2024 Slot 2 - Quant Question 15?

This question can be solved by applying the core concept explained in the solution above, followed by step-by-step calculation and elimination of options.

Which concept is tested in this question?

This question tests fundamental concepts commonly asked in CAT exams.

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CAT 2024 - Slot 2 Quant Question 15

This is a detailed step-by-step solution for CAT 2024 - Slot 2 Quant Question 15. Understand the concept, common mistakes, and expert tips to solve similar questions in CAT exam.

CAT 2024 Slot 2 - Quant

We must bring the right-hand side in the form so that everything has the same power.
25 has factors 1, 5 and 25
The only common factor 40 and 25 have is 5 (other than 1 of course, which does not work)
So the right-hand side can be rewritten as (2⁵)⁵ × (3⁸)⁵(32 × 81 × 81)⁵(209952)⁵Giving the value of m – n as 209952 – 5 = 209947

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