Discussion
In the given series one number is missing. Understand the pattern of the series and insert the number.
144, 121, 100, 81, ?, 49, 36
Answer: B
The missing number is 64.
The series is the squares of the numbers from 12 downwards: \(12^{2} = 144\), \(11^{2} = 121\), \(10^{2} = 100\), \(9^{2} = 81\), then \(8^{2} = 64\), followed by \(7^{2} = 49\) and \(6^{2} = 36\).
The differences confirm it: 23, 21, 19, 17, 15, 13, falling by 2 each time. 81 minus 17 is 64, and 64 minus 15 is 49.
72, 76 and 66 are not perfect squares and break the pattern of differences.
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