Question : Directions: 20 is related to 30 following a certain logic. Following the same logic, 42 is related to 56. To which of the following is 72 related, following the same logic?
Option 1: 94
Option 2: 92
Option 3: 88
Option 4: 90
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Correct Answer: 90
Solution :
Given:
20 is related to 30 and 42 is related to 56.
The first term is n(n – 1) and the second term is n(n + 1).
Like, 20 is related to 30→5 × (5 – 1) = 5 × 4 = 20; 5 × (5 + 1) = 5 × 6 = 30
And, 42 is related to 56→7 × (7 – 1) = 7 × 6 = 42; 7 × (7 + 1) = 7 × 8 = 56
Similarly, follow the same pattern for 72→9 × (9 – 1) = 9 × 8 = 72; 9 × (9 + 1) = 9 × 10 = 90
Thus, 72 is related to 90. Hence, the fourth option is correct.
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