Equations are solved on the basis of a certain system, on the same basis. Find…

2022

Equations are solved on the basis of a certain system, on the same basis. Find out the correct answer for the equation, if 5 × 8 = 28, 3 × 7 = 12, 8 × 6 = 35, then 13 × 13 is equal to –

  1. A.

    169

  2. B.

    148

  3. C.

    144

  4. D.

    130

Attempted by 73 students.

Show answer & explanation

Correct answer: C

Rule used: result = a × b − (a + b − 1).

Check the given examples:

  • 5 × 8 = 40 − (5 + 8 − 1) = 40 − 12 = 28

  • 3 × 7 = 21 − (3 + 7 − 1) = 21 − 9 = 12

  • 8 × 6 = 48 − (8 + 6 − 1) = 48 − 13 = 35

Apply the rule to 13 × 13:

13 × 13 = 169 − (13 + 13 − 1) = 169 − 25 = 144

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