Question

If A ⊙ B =(A+B) x B, then what is (5 ⊙ 2 ) ⊙ 5?

• A. 125
• B. 200
• C. 95
• D. 74
• E. 275

Answer 1

The Correct Option is C

If we are given the operation ⊙ defined by A ⊙ B = (A + B) × B, we need to find the value of (5 ⊙ 2) ⊙ 5.

First, compute 5 ⊙ 2:

1. Apply the given operation definition: \(5 ⊙ 2 = (5 + 2) × 2\).
2. Calculate the expression: \(5 + 2 = 7\).
3. Now, multiply: \(7 × 2 = 14\).

Thus, \(5 ⊙ 2 = 14\).

Now compute (14 ⊙ 5):

1. Apply the operation definition again: \(14 ⊙ 5 = (14 + 5) × 5\).
2. Calculate the expression: \(14 + 5 = 19\).
3. Now, multiply: \(19 × 5 = 95\).

Therefore, (5 ⊙ 2) ⊙ 5 = 95, which matches the correct answer.