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What is the remainder when positive integer x is divided by 5?
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17 Jun 2015, 06:04
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What is the remainder when positive integer x is divided by 5? (1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1. Kudos for a correct solution.
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Re: What is the remainder when positive integer x is divided by 5?
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17 Jun 2015, 06:54
Bunuel wrote: What is the remainder when x is divided by 5?
(1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1.
Kudos for a correct solution. 1) statement one tells us that the last digit is 7... so the remainder when divided by x will always be 2.. suff 2) statement two tells us that it is an odd number.. not suff ans A
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Re: What is the remainder when positive integer x is divided by 5?
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17 Jun 2015, 07:11
method.., From Option A: X= 10K+7 => X= (5*2K+ 5)+2 => 5 (2K+1)+2 /5. The remainder will be 2 always. Sufficient From Option B: X= 2k+1 (Substituting K=1, 2 and 3 gives X= 3, 5, 7 and each have remainders  3, 0 and 2 respectively. Not sufficient. Option A. Bunuel wrote: What is the remainder when x is divided by 5?
(1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1.
Kudos for a correct solution.
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Re: What is the remainder when positive integer x is divided by 5?
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17 Jun 2015, 09:37
Bunuel wrote: What is the remainder when x is divided by 5?
(1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1.
Kudos for a correct solution. My attempt: To know the remainder of X/5, we must know the unit digit of Y. Statement 1  x divided by 10 has a remainder of 7 This means, unit digit of X is 7. So X/5 Will always leave remainder as 2 Hence Statement 1 is sufficient. Statement 2  x divided by 2 has a remainder of 1. In this case unit digit can be any odd number, accordingly remainder of X/5 will differ. Say for Example Unit digit of X is 1, X/5 will leave Remainder as 1 Unit digit of X is 3, X/5 will leave Remainder as 3 Unit digit of X is 5, X/5 will leave Remainder as 0 Unit digit of X is 7, X/5 will leave Remainder as 2 Unit digit of X is 9, X/5 will leave Remainder as 4 Hence statement 2 is not sufficient. Hence Option A is correct



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Re: What is the remainder when positive integer x is divided by 5?
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17 Jun 2015, 09:51
(1) x divided by 10 has a remainder of 7.
From this information we can determine that x has unit digit of 7. {7, 27, 37, 47, ....etc }
Thus, any no having unit digit as 7 when divided by 5 gives remainder as 2. {117, 157, 1037, .....etc}
Hence, the information is sufficient to answer the question What is the remainder when x is divided by 5. It is 2 always
(2) x divided by 2 has a remainder of 1.
From this we can determine that X is odd number {3,5,7,9,11}
When 5 is divided by 5, then remainder is zero. But when 7 is divided by 5, then remainder is 2.
Different ans hence, insufficient
So, Ans is A



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Re: What is the remainder when positive integer x is divided by 5?
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17 Jun 2015, 10:32
What is the remainder when x is divided by 5? (1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1. Solution  Statement1  For values of x=7, 17, 27, 37,.... when divided by 10, remainder is 7. When the same sequence of above numbers divided by 5, remainder is 2. Sufficient. Statement2  For values of x=1,3,5,7,9,....... when divided by 2, remainder is 1. When the same sequence is divided by 5, results multiple remainders are 1,3,1,2,4,..... In Sufficient. Thanks Kudos Please.
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Re: What is the remainder when positive integer x is divided by 5?
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17 Jun 2015, 11:17
using statement 1 alone , values can be 7,17,27,37..... If any of these value is divided by 5 reminder will always be 2. So sufficient Using statement 2 alone , Values can be 1,3,5,7,9,11 .... if you divide any of these numbers , reminder willl keep changing  so insufficient . so Answer is A
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Re: What is the remainder when positive integer x is divided by 5?
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19 Jun 2015, 00:12
Bunuel wrote: What is the remainder when x is divided by 5?
(1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1.
Kudos for a correct solution. 1: x has a units digit of 7, so the remainder when x is divided by 5 will be 2. Sufficient. 2: x is odd. Tells us nothing about the remainder when x is divided by 5. Insufficient. Answer is A.



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Re: What is the remainder when positive integer x is divided by 5?
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22 Jun 2015, 06:01
Bunuel wrote: What is the remainder when x is divided by 5?
(1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1.
Kudos for a correct solution. MANHATTAN GMAT OFFICIAL SOLUTION:Statement 2 is easier to evaluate—INSUFFICIENT. Any odd number will have a remainder of 1 when divided by 2. 3 ÷ 5 has a remainder of 3, but 5 ÷ 5 has a remainder of 0. Statement 1, however, is SUFFICIENT. If x divided by 10 has a remainder of 7, then the units digit of x is 7. Such numbers are all 2 greater than a multiple of 5, so when x is divided by 5 the remainder is 2. The correct answer is (A): Statement 1 ALONE is sufficient, but Statement 2 ALONE is not sufficient.Attachment:
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Re: What is the remainder when positive integer x is divided by 5?
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19 Oct 2018, 14:31
Bunuel wrote: What is the remainder when positive integer x is divided by 5?
(1) x divided by 10 has a remainder of 7. (2) x divided by 2 has a remainder of 1.
Kudos for a correct solution. x/10 = q + 7/10 x = 10q + 7 x = 7,17,27 etc.. 7/5 = 1 2/5 17/5 = 3 2/5 Sufficient. Eliminate B/C/E. Statement 2) x = 1,3,5,7 etc.. 1/5 3/5 5/5 7/5 = 1 2/5 Insufficient. Answer choice A Posted from my mobile device




Re: What is the remainder when positive integer x is divided by 5?
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19 Oct 2018, 14:31






