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Seven integers, \(x_1, x_2, x_3, x_4, x_5, x_6,\) and \(x_7,\) are picked at random from the set of all integers between

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Seven integers, \(x_1, x_2, x_3, x_4, x_5, x_6,\) and \(x_7,\) are picked at random from the set of all integers between

by VJesus12 » Sat Jul 11, 2020 11:41 pm

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Seven integers, \(x_1, x_2, x_3, x_4, x_5, x_6,\) and \(x_7,\) are picked at random from the set of all integers between 10 and 110, inclusive. If each of these integers is divided by 7 and the 7 remainders are all added together, what would be the sum of the 7 remainders?

(1) The range of the remainders is 6.
(2) The seven integers are consecutive.

[spoiler]OA=B[/spoiler]

Source: Manhattan GMAT
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