JAMB 2010 Mathematics · Question 4

If x * y = x + y2^2, find then value of (2*3)*5

Options

  1. A.36
  2. B.25
  3. C.11
  4. D.55

Answer: A. 36

Explanation written with AI and checked against the answer key

Analyze the question: The symbol * is a custom operation, defined as x * y = x + y². We must apply the rule twice: first to the bracket (23), then use that result with 5. Concept: In a defined operation x * y = x + y², the first number is taken as it is, and the second number is squared. **Step 1: Work out the bracket (23)** Here x = 2 and y = 3: 2 * 3 = 2 + 3² = 2 + 9 = 11 Step 2: Work out 11 * 5 Here x = 11 and y = 5: 11 * 5 = 11 + 5² = 11 + 25 = 36 Answer: (23)5 = 36, which is option A. Tip: With defined operations, always solve the bracket first, then substitute the result into the rule again. Be careful about which variable is squared: only y is squared, not x. Reversing the order would give a different answer, since this operation is not commutative.

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