Chose the expression which gives the result as 45:

(

9^{2} - 7^{2}

) +

14

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6^{2} + 48 \div 4

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5^{2} + 36 - 16

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(8^{2} - 4^{2}) + (2 + 4 - 3)

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Solution

The correct option is C $5^{2} + 36 - 16$
Evaluating the options one by one using BODMAS, we get,

( $9^{2} - 7^{2}$ ) $+ 14$
= ( 81 - 49 ) + 14
= 32 + 14
= 46

$6^{2} + 48 \div 4$
= 36 + $48 \div 4$
= 36 + 12
= 48

$5^{2} + 36 - 16$
= 25 + 36 - 16
= 61 -16
= 45

$(8^{2} - 4^{2}) + (2 + 4 - 3)$
= (64 - 16) + (2 + 4 - 3)
= 48 + (6 - 3)
= 48 + 3
= 51

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