If $56^{2} - 49^{2} = 7 p$ then p is equal is

115

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105

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104

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Solution

The correct option is C 105
$56^{2} - 49^{2} = 7 p$
$\Rightarrow 3136 - 2401 = 7 p$
$\Rightarrow 7 p = 735$
$\Rightarrow p = 105$

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