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

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
616 divided by 6 yields remainder p, and 525 divided by 11 y [#permalink] New post 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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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: 616 divided by 6 yields remainder p, and 525 divided by 11 y [#permalink] New post 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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