ExplanationRemember, remainders are always whole numbers, so dividing 616 by 6 in the GRE calculator won’t yield the answer.
Rather, find the largest number less than 616 that 6 does go into (not 615, not 614, not 613…). That number is 612. Since 616 – 612 = 4, the remainder p is equal to 4.
Alternatively, divide 616 by 6 in your calculator to get 102.66…. Since 6 goes into 616 precisely 102 whole times, multiply 6 × 102 to get 612, then subtract from 616 to get the remainder 4.
This second method might be best for finding q. Divide 525 by 11 to get 47.7272…. Since \(47 \times 11 = 517\), the remainder is \(525 - 517 = 8\).
Therefore, \(p + q = 4 + 8 = 12\).
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