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# 616 divided by 6 yields remainder p, and 525 divided by 11 y

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1776 [0], given: 397

616 divided by 6 yields remainder p, and 525 divided by 11 y [#permalink]  12 Aug 2018, 15:25
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Question Stats:

80% (00:22) correct 20% (00:00) wrong based on 5 sessions
616 divided by 6 yields remainder p, and 525 divided by 11 yields remainder q. What is p + q?

[Reveal] Spoiler: OA
12

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1776 [0], given: 397

Re: 616 divided by 6 yields remainder p, and 525 divided by 11 y [#permalink]  15 Aug 2018, 08:15
Expert's post
Explanation

Remember, 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, $$p + q = 4 + 8 = 12$$.
_________________

Sandy
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Re: 616 divided by 6 yields remainder p, and 525 divided by 11 y   [#permalink] 15 Aug 2018, 08:15
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# 616 divided by 6 yields remainder p, and 525 divided by 11 y

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