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When divided by 5, x has a remainder of 2 and y has a
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04 May 2013, 11:24
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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
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Re: When divided by 5, x has a remainder of 2
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06 May 2013, 11:30
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. Hope this helps! Ron
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Re: When divided by 5, x has a remainder of 2
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04 May 2013, 16:38
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.




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Re: When divided by 5, x has a remainder of 2
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04 May 2013, 17:46
x = 5k+2 , y = 5t+1
x+y = 5 (k+t) + 3 thus remainder when divided by 10 depends on (k+t) if k+t are non ve even integer r = 3 , if +ve odd remainder is 8
from choices 8 is the right choice



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Re: When divided by 5, x has a remainder of 2
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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. Hence correct option is C



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Re: When divided by 5, x has a remainder of 2
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04 May 2013, 22:43
Can anybody explain how to use picking numbers strategy for such a problem?
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Re: When divided by 5, x has a remainder of 2
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04 May 2013, 23:41
karishmatandon wrote: Can anybody explain how to use picking numbers strategy for such a problem? x is of the form 5*p +2 and y is of the form 5*q + 1 Look at the options. All of them are greater than 5. So choose x and y such that their sum is greater than 5 and less than 10 (because that will simply represent the remainder we are looking for.) For instance x = 7 and y = 1 can be taken. Similarly x = 2 and y = 6 can be taken. Hope this answers your question.



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Re: When divided by 5, x has a remainder of 2
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04 May 2013, 23:51
ppskc1989 wrote: karishmatandon wrote: Can anybody explain how to use picking numbers strategy for such a problem? x is of the form 5*p +2 and y is of the form 5*q + 1 Look at the options. All of them are greater than 5. So choose x and y such that their sum is greater than 5 and less than 10 (because that will simply represent the remainder we are looking for.) For instance x = 7 and y = 1 can be taken. Similarly x = 2 and y = 6 can be taken. Hope this answers your question. Oh..k.. i was just considering, 7,6 or 2,1 so i was only getting 3 as the remainder for x + y, thanks for the explanation
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Re: When divided by 5, x has a remainder of 2
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05 May 2013, 12:01
karishmatandon wrote: Can anybody explain how to use picking numbers strategy for such a problem? hi i used this method to solve so hope it helps u even "x divided by 5 gives remainder 2" =>any multiple of 5 will have units digit 0 or 5 so x would have units digit 2 or 7 and since we are to calculate for remainder when divided by 10 our main concern is the units digit only "y divided by 5 gives remainder 1" => y would have units digit 1 or 6 for units digit of x+y we can take all combinations of x and y (2,1) units digit 3 (2,6) units digit 8 (7,1) units digit 8 (7,6) units digit 3 so x+y will have units digit either 3 or 8 so x+y wen divided by 10 wud give either 8 or 3 as remainder



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Re: When divided by 5, x has a remainder of 2 and y has a
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04 Jul 2013, 08:48
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 x2 is divisible by 5 and y1 is also divisible by 5, there could be either a even or odd multiple of 5, so consider all possible varieties we get if both are even or if both are odd x+y makes it even so remainder is 3 => 2+1 but if one is add and other is even then we get 5 +2+1 = 8, hence solved. please ping me if u need any further explanation .....



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When divided by 5, x has a remainder of 2 and y has a
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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 3not listed next least value of y=6 (2+6)/10 gives a remainder of 8 C



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Re: When divided by 5, x has a remainder of 2 and y has a
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18 May 2017, 20:06
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
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When divided by 5, x has a remainder of 2 and y has a
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24 May 2018, 17:29
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 five least values of x=2 7 12 17 22 27 five least values of y= 1 6 11 16 21 note that all x+y values sum to a 3 or 8 units digit C




When divided by 5, x has a remainder of 2 and y has a &nbs
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