Question
If 6 $ 4 $ 7 = 101 and 2 $ 5 $ 11 = 150, then what is
the value of T in T $ 8 $ 9 = 289?Solution
The pattern followed is that the sum of squares of the numbers on the L.H.S. is written on the R.H.S.  6² + 4² + 7² = 36 + 16 + 49 = 101  And, 2² + 5² + 11² = 4 + 25 + 121 = 150  Similarly, T² + 8² + 9² = 289 T² + 64 + 81 = 289 T² = 289 – 145 T = √ 144 T = 12  Hence, the correct answer is option (C).
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