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Retired Moderator V
Joined: 27 Oct 2017
Posts: 1483
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 45% (00:59) correct 55% (00:56) wrong based on 55 sessions

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When -17 is divided by 7, the quotient and remainder are :
a. -3 & 4
b. -2 & 3
c. 4 & -3
d. -3 & -2
e. 2 & -3

Weekly Quant Quiz #7 Question No 1

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Senior Manager  D
Joined: 05 Jul 2018
Posts: 462
Location: India
Concentration: General Management, Technology
GMAT 1: 600 Q47 V26 GRE 1: Q162 V149 GPA: 3.6
WE: Information Technology (Consulting)
Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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1

$$7*(-3)= -21$$ (Hence quotient is -3)

$$-17-(-21)= +4$$(Hence remainder is +4)
NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1056
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25 GMAT 2: 690 Q49 V34 WE: Engineering (Energy and Utilities)
Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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1
The remainder can never be negative.

Hence First add 7 to -17, becomes -10, again add 7 to -10 becomes -3. again adding 7 to -3 gives 4 as the remainder
And 7 is added 3 times. hence quotient is -3 and remainder 4.

Manager  S
Joined: 16 Sep 2011
Posts: 127
Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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When -17 is divided by 7, the quotient and remainder are :
a. -3 & 4
b. -2 & 3
c. 4 & -3
d. -3 & -2
e. 2 & -3

Quotient = 7* Divisor + remainder
-17 = 7(divisor) + remainder
0r, -17= 7*-3 + 4

so A fits the bill
Intern  B
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Schools: IIMA PGPX"20
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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Clearly Answer Is a)-3 and 4
because when -17 is dived by 7
we will take -3 as quotient then we will get +4 as remainder

Originally posted by SUNILAA on 03 Nov 2018, 09:06.
Last edited by SUNILAA on 03 Nov 2018, 09:10, edited 2 times in total.
Current Student S
Joined: 04 Jun 2018
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GMAT 2: 690 Q50 V32
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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The best way to do this type of question is to analyze the following statement:

A= pQ + R
where Q is the quotient and R is the remainder

We know that A=-17
And P=7

SO any number that fits in the equation is the answer.

ONly Option A satisfies the equation.
7*3+(-4)=17

Since the remainder can be negative, the positive one can be (3).
Intern  B
Joined: 17 Aug 2018
Posts: 16
Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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N= q.m + r

-17 = -3*7 + 4 where m is the divisor, q = quotient, r = remainder and N is the dividend.
Hence the answer is -3 and 4 option A

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Senior Manager  P
Joined: 12 Dec 2015
Posts: 479
Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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-17 = -3*7 + 4
Manager  G
Joined: 14 Jun 2018
Posts: 206
Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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7 * (-3) + 4 = - 17

Ans A Re: When -17 is divided by 7, the quotient and remainder are :   [#permalink] 04 Nov 2018, 00:36
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# When -17 is divided by 7, the quotient and remainder are :  