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The remainder when 135 is divided by 7

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Carcass
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The remainder when 135 is divided by 7 [#permalink] New post   24 May 2017, 01:25
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Quantity A
Quantity B
The remainder when 135 is divided by 7
The remainder when 135 is divided by 19


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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C
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GreenlightTestPrep
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Re: The remainder when 135 is divided by 7 [#permalink] New post   26 May 2017, 12:18
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Carcass wrote:



Quantity A
Quantity B
The remainder when 135 is divided by 7
The remainder when 135 is divided by 19


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


I know that 140 divided by 7 = 20
140 - 7 = 133, so 133 divided by 7 = 19
So, 135 divided by 7 equals 19 with remainder 2

What about 135 divided by 19?
Well, we learned earlier that 133 divided by 7 = 19
This ALSO means that 133 divided by 19 = 7
So, 135 divided by 19 equals 7 with remainder 2

We get:
Quantity A: 2
Quantity B: 2

Answer:
Show: ::
C
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tejalbharade
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Re: The remainder when 135 is divided by 7 [#permalink] New post   22 Jan 2018, 07:11
this was quite a simple i dnt think we are luckey enough to get such questions in exam
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Re: The remainder when 135 is divided by 7 [#permalink] New post   22 Jan 2018, 11:36
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I agree. However, It is useful to cement the concepts. it is never a waste of time.

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Re: The remainder when 135 is divided by 7 [#permalink] New post   22 Jan 2018, 12:52
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tejalbharade wrote:
this was quite a simple i dnt think we are luckey enough to get such questions in exam


It would be possible to see a similar question (on the first quant section at least) on test day.


Cheers,
Brent
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Re: The remainder when 135 is divided by 7 [#permalink] New post   23 Jan 2018, 09:23
Both values are equal
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Re: The remainder when 135 is divided by 7 [#permalink] New post   27 Jan 2018, 00:24
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Re: The remainder when 135 is divided by 7 [#permalink] New post   12 Mar 2018, 01:36
C
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Re: The remainder when 135 is divided by 7 [#permalink] New post   23 Apr 2018, 07:11
I am sorry, I am unable to understand the process of solving it.

Will it be wise to use calculator to solve this type of question in actual GRE.
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Re: The remainder when 135 is divided by 7 [#permalink] New post   23 Apr 2018, 15:47
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yes, why not.

However, a question like this, using directly the calculator to solve it, is quite improbable.

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Re: The remainder when 135 is divided by 7 [#permalink] New post   27 Nov 2018, 02:15
it is interesting question
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Re: The remainder when 135 is divided by 7 [#permalink] New post   18 Jun 2019, 23:43
I used the calculator just to try out and the results are somewhat misleading in terms of answering the question correctly:

135/7=19.285...
135/19=7.105263...

so in this case you would get differing remainders. How come the two methods result in different answers?
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Re: The remainder when 135 is divided by 7 [#permalink] New post   19 Jun 2019, 14:30
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giancarlojr wrote:
I used the calculator just to try out and the results are somewhat misleading in terms of answering the question correctly:

135/7=19.285...
135/19=7.105263...

so in this case you would get differing remainders. How come the two methods result in different answers?

The explanation lies in how remainders, divisors and decimals are related through division.

Take as an example the expression 17 ÷ 5. We know through long division that the divisor 5 goes into the dividend 17 three times with 2 left over, so the quotient could be written as 3 remainder 2. However, the quotient were we to put 17 ÷ 5 in the calculator would be 3.4 as a decimal.

Why is this??


It's because the decimal leftover 0.4 = 2/5 as a fraction, which is also equal to the remainder 2 out of the divisor of 5.

So, for all division : remainder / divisor must = quotient decimal leftover as a fraction.

Let's now apply this concept to the decimals left over in the problem.

As already established, 135 ÷ 7 = 19 remainder 2 and if you take that remainder of 2 and divide it by the divisor of 7 you get a decimal leftover of 0.285714 repeating.

Then, since 135 ÷ 19 = 7 remainder 2 you would instead take that remainder of 2 and divide it by the divisor of 19 to get a decimal leftover of 0.105263...

Hope this sufficiently explains the relationship between remainders and decimals in division!
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Re: The remainder when 135 is divided by 7 [#permalink] New post   20 Jun 2019, 02:20
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Great insight Sir.

Regards
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Re: The remainder when 135 is divided by 7 [#permalink] New post   20 Oct 2022, 08:52
Quantity A: The remainder when 135 is divided by 7

135 when divided by 7 gives 2 remainder

Quantity A: The remainder when 135 is divided by 19

135 when divided by 19 gives 2 remainder

Clearly, Quantity A = Quantity B = 2

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Remainders

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Re: The remainder when 135 is divided by 7 [#permalink]
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