Find the missing number in the following sequence:
34
63
77
45
The Correct Option is C
Solution and Explanation
To find the pattern, observe the calculations in the first two figures. The central number is obtained by multiplying the two numbers on each diagonal and then adding the results.
• First Figure: - Surrounding numbers: 3, 3, 4, and 5
- Calculation: 3 × 4 = 12 and 3 × 5 = 15
- Adding these results: 12 + 15 = 36, which matches the central number.
• Second Figure: - Surrounding numbers: 4, 1, 7, and 3
- Calculation: 4 × 7 = 28 and 1 × 3 = 3
- Adding these results: 28 + 3 = 44, which matches the central number.
• Third Figure: - Surrounding numbers: 9, 8, and 5
- We need to find the missing central number, represented by ?.
- Calculation: 9 × 8 = 72 and 5 × 1 = 5
- Adding these results: 72 + 5 = 77
So, the correct answer is (C): 77
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