If ⊗ is an operation such that a ⊗ b = 2a when a b, a + b when a

Question

If ⊗ is an operation such that a ⊗ b = 2a when a > b, a + b when a < b, a2 when a = b, then [ ( 5 7 ) + ( 4 4 )3 ( 5 5 ) - ( 15 11 ) - 3 ] is equal to?

Accepted Answer

Option C. 2/3. Answer & Solution Answer: Option C Solution: & Given, a b = 2a & Where a > b & a b = a + b & Where a < b & a b = a^2 & Where a = b & ( 5 7 ) + ( 4 4 )3 ( 5 5 ) - ( 15 11 ) - 3 & = ( 5 + 7 ) + ( 4 )^23 ( 5 )^2 - ( 2 × 15 ) - 3 & = 12 + 1675 - 30 - 3 & = 2842 & = 2/3