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# When -17 is divided by 7, the quotient and remainder are :

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Senior DS Moderator
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When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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03 Nov 2018, 09:00
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00:00

Difficulty:

55% (hard)

Question Stats:

47% (00:33) correct 53% (00:34) wrong based on 37 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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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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03 Nov 2018, 09:03
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.

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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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03 Nov 2018, 09:05
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
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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Updated on: 03 Nov 2018, 09:10
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.
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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03 Nov 2018, 09:06
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).
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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03 Nov 2018, 18:29

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

$$-17-(-21)= +4$$(Hence remainder is +4)
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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03 Nov 2018, 18:39
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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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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03 Nov 2018, 20:02
-17 = -3*7 + 4
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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04 Nov 2018, 00:36
7 * (-3) + 4 = - 17

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