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26 Apr 2018, 20:37
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
36% (02:36) correct
64%
(02:41)
wrong
based on 28
sessions
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Not Attempted Yet
X and Y are both positive integers. If x-3 can be divided by 5 and y can be divided by 2, what is remainder when XY is divided by 10 ?
1. The remainder is 3 when X is divided by 3
2. The remainder is 2 when Y is divided by 5
1. The remainder is 3 when X is divided by 3
2. The remainder is 2 when Y is divided by 5
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27 Apr 2018, 01:50
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selim
Ans: B
Info given in question stem only : x-3 is divisible by 5 and y is divisible by 2
Stat 1) X= 3I+ 3 and from the stem we know that X-3 is divisible by 5 so means x leaves a reminder when divided by 5. from these we can say that x leaves a reminder of 3 when both divided by 3 and 5 so x will be an int which leaves reminder of 3 when divided by 5 or 3 so x= 15I + 3 = 18, 33, 48,63...
and y = 2,4,6,8,10... so xy when divided by 10
x y xy/10 reminder
18 2 36/10 6
18 4 72/10 2
(Not Suff)
Stat 2) when y divided by 5 reminder is 2 so y= 5I+2 and also from the stem y= 2I so y will be 12,22,32,42 and x from the stem is 8, 13, 18,23,...
x y xy/10 reminder
8 12 96/10 6
8 22 176/10 6
13 12 156/10 6
(Suff)
ans: B
15 May 2018, 07:07
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selim
Could you please review first statement
When number is divided by 3, possible remainders are 0,1and 2
Your statement 1 says 3
Posted from my mobile device
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
