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Difficulty: 2/102022 NMTC 2022 (QI-11)

If = a-b+ab, then 2 5 + 5 * 2 is

Options:

  • A.

    14

  • B.

    16

  • 20

  • D.

    none of these

Guide / Hint

Hint 1: Evaluate the operation first by substituting and into the formula .

Hint 2: Evaluate the operation by substituting and .

Hint 3: Add the two results together and identify the corresponding option index (2).

Solution

Step 1 (Understand the Operation): The binary operation is defined as:

Step 2 (Evaluate 2 * 5): Substitute and into the formula:

Step 3 (Evaluate 5 * 2): Substitute and into the formula:

Step 4 (Sum the results): Add the two values together:

Step 5 (Conclusion): The value is exactly 20, which is at option index 2 in ['14', '16', '20', 'none of these'].

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