Question : Direction: Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis.
5 × 8 = 28, 3 × 7 = 12, 8 × 6 = 35, 13 × 13 = ?
Option 1: 169
Option 2: 130
Option 3: 140
Option 4: 144
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Correct Answer: 144
Solution : Given:
5 × 8 = 28 ⇒ ( 5 – 1 ) × ( 8 – 1 ) = 28
3 × 7 = 12 ⇒ ( 3 – 1 ) × ( 7 – 1 ) = 12
8 × 6 = 35 ⇒ ( 8 – 1 ) × ( 6 – 1 ) = 35
Similarly, 13 × 13 = 144 ⇒ ( 13 – 1 ) × ( 13 – 1 ) = 144
Hence, the fourth option is correct.
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