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# When J is divided by P, the quotient is Q and the remainder

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Founder
Joined: 18 Apr 2015
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When J is divided by P, the quotient is Q and the remainder [#permalink]  25 Jul 2020, 09:46
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Question Stats:

100% (00:33) correct 0% (00:00) wrong based on 8 sessions
When J is divided by P, the quotient is Q and the remainder is M. Which of the following expressions is equal to M ?

(A) Q − J
(B) J − Q
(C) Q(J − P)
(D) Q − JP
(E) J − QP
[Reveal] Spoiler: OA

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Intern
Joined: 25 Jul 2020
Posts: 30
Followers: 0

Kudos [?]: 14 [0], given: 2

Re: When J is divided by P, the quotient is Q and the remainder [#permalink]  25 Jul 2020, 11:02
(J - M)/P = Q.
J - M = PQ
M = J - PQ

Manager
Joined: 02 May 2020
Posts: 90
Followers: 1

Kudos [?]: 67 [0], given: 14

Re: When J is divided by P, the quotient is Q and the remainder [#permalink]  26 Jul 2020, 09:21
dividend(the number which we are dividing) = divisor × quotient + remainder

So,
J = P*Q + M
=> M = J - QP
So, the answer is E.
Re: When J is divided by P, the quotient is Q and the remainder   [#permalink] 26 Jul 2020, 09:21
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# When J is divided by P, the quotient is Q and the remainder

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