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Let ‘*’ and ‘^’ be two binary operations such that a*b=a^2 b and a ^ b = 2a+b. Find (2*3) ^ (6*7).(a) 256(b) 286(c) 276(d) 275The question was posed to me in an internship interview.Question is taken from Binary Operations topic in section Relations and Functions of Mathematics – Class 12

Answer» CORRECT CHOICE is (c) 276

Explanation: Given that, a*b=a^2 b and a ^ b = 2a+b.

∴(2*3)^(6*7)=(2^2×3)^(6^2×7)

=12^252=2(12)+252=276.


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