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Complex Numbers

Find the miss...

Question

Find the missing number in the following 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 $16$
Column $1 : 11^{2} - 1^{2} = 120$
Column $2 : 7^{2} - 2^{2} = 45$
$∴$ Column $3 : 5^{2} - 3^{2} = 16$
Hence the answer is (b)

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