Question

Choose the one from the given alternatives which is related to the following equation (function) :

M ⊗ N = M² + N²

P □ Q = [P + Q]²

1. 7 ⊗ 9 = 63 
2. 8 □ 3 = 11
3. 4 □ 6 = 52
4. 5 ⊗ 7 = 74

Answer 1

Correct Answer - Option 4 : 5 ⊗ 7 = 74

Given:

M ⊗ N = M2 + N²

P □ Q = [P + Q]2

Calculation:

⇒ If M = 9, and N = 9 then,

⇒ 7 ⊗ 9  = 7² + 9² = 130     ----(not satisfied)

⇒ If P = 8, and Q = 3 then,

⇒ 8 □ 3  = (8 + 3)² = 121     ----(not satisfied)

⇒ If P = 4 and Q = 6 the,

⇒ 4 □ 6 = (4 + 6)² = 100     ----(not satisfies)

⇒ If M = 5 and N = 7 then,

⇒ 5 ⊗ 7 = 5² + 7² = 74     ----(satisfied)

∴ The required result will be "5 ⊗ 7 = 74".