Correct Answer - Option 3 : 12
Given:
If a ⊕ b = L. C. M. of a and b, a ⊗ b = G. C. F. of a and b
Concept used:
LCM and HCF(GCF)
Calculation:
According to the question,
(12 ⊗ 16) ⊕ (24 ⊗ 36)
GCF(12 & 16)
⇒ 12 = 2 × 2 × 3
⇒ 16 = 2 × 2 × 2 × 2
GCF(Common of the both number) = 2 × 2 = 4
GCF(24 & 36)
⇒ 24 = 2 × 2 × 2 × 3
⇒ 36 = 2 × 2 × 3 × 3
GCF(Common of the both number) = 2 × 2 × 3 = 12
LCM(4 & 12)
⇒ 4 = 2 × 2
⇒ 12 = 2 × 2 × 3
LCM = 2 × 2 × 3 = 12
∴ (12 ⊗ 16) ⊕ (24 ⊗ 36) will be 12.
