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PS - Integers

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Source: — Problem Solving |

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by Anurag@Gurome » Mon Dec 05, 2011 10:38 pm
karthikpandian19 wrote:If x and y are integers and 2x-y= 11, then 4x+ y CANNOT be

(A) -5(B) 1(C) 13(D) 17(E) 55
2x - y = 11
4x - 2y = 22
4x + y = 3y + 22, which can be written as 3(y + 7) + 1

When we subtract 1 from 4x + y then it will be a multiple of 3.
Only 17 - 1 = 16, which is not a multiple of 3.

The correct answer is D.
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by sl750 » Mon Dec 05, 2011 10:42 pm
2x-y=11 or y=2x-11. Substitute value of y in 4x+y

6x-11. Since x is an integer. Replace x with values such as 1,2,3.. so on. Only choice D CANNOT be the value of 6x-11
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by [email protected] » Sat Dec 24, 2011 5:06 am
solving with simultaneous equations will also give a solution!!!
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
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by LalaB » Sat Dec 24, 2011 6:58 am
karthikpandian19 wrote:If x and y are integers and 2x-y= 11, then 4x+ y CANNOT be

(A) -5(B) 1(C) 13(D) 17(E) 55
2x-y=11 multiply this equation by 2
4x-2y=22

so, now we have

4x-2y=22
minus
4x+y=Z
--------------
-3y=22-z


(A) -5 ; -3y=22+5 y is an integer. eliminate A

(B) 1; -3y=22-1 y is an integer .eliminate B
(C) 13; -3y=22-13 y is an integer .eliminate C
(D) 17; -3y=22-17 . y=5/3 .so y is not an integer. D is correct
(E) 55; -3y=22-55 y is an 326integer. eliminate E
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by karthikpandian19 » Tue Dec 27, 2011 9:48 pm
OA is D
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by amit28it » Sat Dec 31, 2011 12:03 am
D is the correct answer.So it's easy question .how do you do ratios to solve problem related to it .Thanks .
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