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The product of two consecutive even numbers is 582168. Which is the smaller number?
(a) 760 (b) 762
(c) 764 (d) 766
(e) 756

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(b) Let the numbers be x and (x + 2) 

Then, x × (x + 2) = 582168 

x 2 + 2x – 582168 = 0 

x2 + 764x – 762x – 582168 = 0 

(x + 764) (x – 762) = 0 

x = 762

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