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Transpose of a Matrix

Find the miss...

Question

Find the missing number in the matrix.
1 2 3
11 7 5
120 45 ?

A

15

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B

16

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C

17

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D

18

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E

19

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Solution

The correct option is B 16
$C o l u m n I : 11^{2} - 1^{2} = 120 C o l u m n I I : 7^{2} - 2^{2} = 45 ∴ C o l u m n I I I : 5^{2} - 3^{2} = 16$
Hence the answer is (b)

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