Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: When divided by 5, x has a remainder of 2
[#permalink]
Show Tags
06 May 2013, 11:30
3
2
For remainder questions like this, you can also think of the logic this way:
x has a remainder of 2 when divided by 5 y has a remainder of 1 when divided by 5 x+y must necessarily have a remainder of 3 when divided by 5.
Remainder of 3 when divided by 5 applies to 3, 8, 13, 18, 23, etc. Just keep adding 5's. What's the only option that's provided here that works? 8. Done.
Re: When divided by 5, x has a remainder of 2
[#permalink]
Show Tags
04 May 2013, 16:38
6
2
Let x=5a+2 and y=5b+1
x+y = 5(a+b) + 3: Possible numbers for this equation are 3, 8, 13, 18, 23, 28... Therefore when (x+y) is divided by 10, the possible remainders are 3 and 8. 3 is not in the answer choices but 8 is, so answer is C.
Re: When divided by 5, x has a remainder of 2
[#permalink]
Show Tags
04 May 2013, 21:51
Zarrolou wrote:
When divided by 5, x has a remainder of 2 and y has a remainder of 1. Which of the following could be the remainder when x + y is divided by 10?
A)6 B)7 C)8 D)9 E)0
Given data can be represented as \(x = 5*p + 2\) and \(y = 5*q + 1\), where p and q are non negative integers.
Hence \(x+y = 5*k + 3\), k is some non negative integer.
Now observe that the possible remainders obtained when 5*k is divided by 10 are 0 and 5, depending on the parity of k. (0 when k is even, 5 when k is odd)
Hence it follows that the possible remainders when 5*k + 3 is divided by 10 are 3 and 8. 8 is in the given options.
When divided by 5, x has a remainder of 2 and y has a
[#permalink]
Show Tags
14 May 2017, 12:30
Zarrolou wrote:
When divided by 5, x has a remainder of 2 and y has a remainder of 1. Which of the following could be the remainder when x + y is divided by 10?
A. 6 B. 7 C. 8 D. 9 E. 0
least possible value of x=2 least possible value of y=1 (2+1)/10 gives a remainder of 3--not listed next least value of y=6 (2+6)/10 gives a remainder of 8 C
Re: When divided by 5, x has a remainder of 2 and y has a
[#permalink]
Show Tags
18 May 2017, 20:06
1
Zarrolou wrote:
When divided by 5, x has a remainder of 2 and y has a remainder of 1. Which of the following could be the remainder when x + y is divided by 10?
A. 6 B. 7 C. 8 D. 9 E. 0
We should recall that when dividing by 5, we only need to know the units digit of the divisor to determine the remainder. Thus, when x is divided by 5 and the remainder is 2, the units digit of x must be either 7 or 2. Also, when y is divided by 5 and the remainder is 1, the units digit of y must be either 6 or 1.
Likewise, when dividing by 10, we only need to know the units digit of the divisor to determine the remainder. Let’s now determine some possible sums of x and y.
x + y = 7 + 6 = 13, which has a remainder of 3 when divided by 10.
x + y = 7 + 1 = 8, which has a remainder of 8 when divided by 10.
x + y = 2 + 6 = 8, which has a remainder of 8 when divided by 10.
x + y = 2 + 1 = 3, which has a remainder of 3 when divided by 10.
Thus, the possible remainders when x + y is divided by 10 are 3 and 8. Since only 8 is given in the answer choices, the correct answer is C.
Answer: C
_________________
Scott Woodbury-Stewart Founder and CEO
GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions
close
68% (01:44) correct 
