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

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

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New post 03 Nov 2018, 10:00
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

49% (00:59) correct 51% (00:55) wrong based on 52 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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New post 03 Nov 2018, 19:29
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Re: When -17 is divided by 7, the quotient and remainder are :  [#permalink]

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New post 03 Nov 2018, 10:03
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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.

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

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New post 03 Nov 2018, 10:05
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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New post Updated on: 03 Nov 2018, 10:10
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, 10:06.
Last edited by SUNILAA on 03 Nov 2018, 10:10, 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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New post 03 Nov 2018, 10:06
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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New post 03 Nov 2018, 19:39
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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New post 03 Nov 2018, 21:02
Answer: A
-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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New post 04 Nov 2018, 01:36
7 * (-3) + 4 = - 17

Ans A
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Re: When -17 is divided by 7, the quotient and remainder are :   [#permalink] 04 Nov 2018, 01:36
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When -17 is divided by 7, the quotient and remainder are :

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