Some equations are solved on the basis of a certain system. Find the correct…

20202020

Some equations are solved on the basis of a certain system. Find the correct answer for the given unsolved equation on that basis.

94 × 18 = 44
89 × 23 = 78
75 × 36 = ?

  1. A.

    21

  2. B.

    43

  3. C.

    56

  4. D.

    53

Attempted by 150 students.

Show answer & explanation

Correct answer: D

The pattern works on the four digits of the two numbers: multiply the two digits of the first number, multiply the two digits of the second number, then add the two products.
Rule: (tens digit of 1st number × units digit of 1st number) + (tens digit of 2nd number × units digit of 2nd number) = Result

Verify with the given equations:
94 × 18 = 44 → (9 × 4) + (1 × 8) = 36 + 8 = 44 ✓
89 × 23 = 78 → (8 × 9) + (2 × 3) = 72 + 6 = 78 ✓

Apply the same rule to the unsolved equation:
75 × 36 = ? → (7 × 5) + (3 × 6) = 35 + 18 = 53

So 75 × 36 = 53.

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