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x and y are positive integers. When x is divided by 2y
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30 Mar 2017, 08:23
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x and y are positive integers. When x is divided by 2y, the remainder is y. What is the value of y? (1) x is even (2) y is a prime number *kudos for all correct solutions
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Re: x and y are positive integers. When x is divided by 2y
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30 Mar 2017, 10:02
GMATPrepNow wrote: x and y are positive integers. When x is divided by 2y, the remainder is y. What is the value of y?
(1) x is even (2) y is a prime number
*kudos for all correct solutions x2qy=y x=(1+2q)y 1) x is even x=odd*y For x to be even y has to be even (2,4,6...) Insuff 2) y is prime x=(1+2q)*y y can be 2,3,5,,,, Insuff 1+2 combined, the only possible value of y is 2.
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Re: x and y are positive integers. When x is divided by 2y
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30 Mar 2017, 10:07
GMATPrepNow wrote: x and y are positive integers. When x is divided by 2y, the remainder is y. What is the value of y?
(1) x is even (2) y is a prime number
*kudos for all correct solutions (1) x is even  Not sufficient x=2, y=2, 2y=4, and Remainder of x/2y is 2. Hence y=2 x=4, y=4, 2y=8, and Remainder of x/2y is 4. Hence y=4 (2) y is a prime number  No sufficient x=2, y=2, 2y=4, and Remainder of x/2y is 2. Hence y=2 x=3, y=3, 2y=6, and Remainder of x/2y is 3. Hence y=3 (1) + (2)  x=2, y=2, 2y=4, and Remainder of x/2y is 2. Hence y=2  Sufficient. Hence C. Cheers!



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Re: x and y are positive integers. When x is divided by 2y
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14 Dec 2017, 09:10
When x is divided by 2y, the remainder is y So, x=2y+y 1) x is even As 2y is even so y will be even x(even)= 2y(even)+y(even) so y can have any value…..not sufficient
2) y is a prime number For y=2, x=2 and 2y=4, we have x/2y as 2 For y=3, x=3 and 2y=6, we have x/2y as 3 For y=5, x=5 and 2y=10, we have x/2y as 5 and so on… still not sufficient Combining both (1) and (2) we have even prime number as ‘2’ Hence ‘C’ is the choice



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Re: x and y are positive integers. When x is divided by 2y
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28 Oct 2018, 07:25
GMATPrepNow wrote: x and y are positive integers. When x is divided by 2y, the remainder is y. What is the value of y?
(1) x is even (2) y is a prime number
*kudos for all correct solutions Target question: What is the value of y? Given: x and y are positive integers. When x is divided by 2y, the remainder is y ASIDE When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc. BACK TO THE QUESTION From the given information, we can say that the possible values of x are: y, y + 2y, y + 4y, 6 + 6y, . . . etc. In other words, the possible values of x are: y, 3y, 5y, 7y, . . . etc. Statement 1: x is even We already know that the possible values of x are: y, 3y, 5y, 7y, . . . etc All of these possible xvalues are in the form x = (ODD)(y) So, if x is EVEN, it must be the case that y is EVENThere are several values of x and y that satisfy statement 1. Here are two: Case a: x = 12 and y = 4. In this case, the answer to the target question is y = 4Case b: x = 6 and y = 2. In this case, the answer to the target question is y = 2Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: y is a prime number We already know that the possible values of x are: y, 3y, 5y, 7y, . . . etc So, there are several values of x and y that satisfy statement 2. Here are two: Case a: x = 2 and y = 2. In this case, the answer to the target question is y = 2Case b: x = 3 and y = 3. In this case, the answer to the target question is y = 3Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Statements 1 and 2 combined Statement 1 told us that y is EVENStatement 2 told us that y is a prime number Since 2 is the ONLY even prime number, the answer to the target question is y = 2Since we can answer the target question with certainty, the combined statements are SUFFICIENT Answer: C Cheers, Brent
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Re: x and y are positive integers. When x is divided by 2y
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15 Aug 2019, 10:43
GMATPrepNow wrote: GMATPrepNow wrote: x and y are positive integers. When x is divided by 2y, the remainder is y. What is the value of y?
(1) x is even (2) y is a prime number
*kudos for all correct solutions Target question: What is the value of y? Given: x and y are positive integers. When x is divided by 2y, the remainder is y ASIDE When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc. BACK TO THE QUESTION From the given information, we can say that the possible values of x are: y, y + 2y, y + 4y, 6 + 6y, . . . etc. In other words, the possible values of x are: y, 3y, 5y, 7y, . . . etc. Statement 1: x is even We already know that the possible values of x are: y, 3y, 5y, 7y, . . . etc All of these possible xvalues are in the form x = (ODD)(y) So, if x is EVEN, it must be the case that y is EVENThere are several values of x and y that satisfy statement 1. Here are two: Case a: x = 12 and y = 4. In this case, the answer to the target question is y = 4Case b: x = 6 and y = 2. In this case, the answer to the target question is y = 2Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: y is a prime number We already know that the possible values of x are: y, 3y, 5y, 7y, . . . etc So, there are several values of x and y that satisfy statement 2. Here are two: Case a: x = 2 and y = 2. In this case, the answer to the target question is y = 2Case b: x = 3 and y = 3. In this case, the answer to the target question is y = 3Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Statements 1 and 2 combined Statement 1 told us that y is EVENStatement 2 told us that y is a prime number Since 2 is the ONLY even prime number, the answer to the target question is y = 2Since we can answer the target question with certainty, the combined statements are SUFFICIENT Answer: C Cheers, Brent Posted from my mobile device




Re: x and y are positive integers. When x is divided by 2y
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