Question : Directions: Some equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis.
4 × 5 = 42
5 × 6 = 56
6 × 7 = 72
7 × 8 = ?
Option 1: 84
Option 2: 90
Option 3: 92
Option 4: 102
Correct Answer: 90
Solution :
Given:
4 × 5 = 42; 5 × 6 = 56; 6 × 7 = 72; 7 × 8 = ?
Add 2 to each number and then multiply the resultant numbers, to get the required missing number –
4 × 5 = 42→(4 + 2) × (5 + 2) = 42
5 × 6 = 56→(5 + 2) × (6 + 2) = 56
6 × 7 = 72→(6 + 2) × (7 + 2) = 72
Similarly, follow the same pattern for 7 × 8 = ? –
7 × 8→(7 + 2) × (8 + 2) = 90
So, 90 is the required missing number. Hence, the second option is correct.
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