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If x and y are integers, what is the ratio of 3y to x? [#permalink]
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01 Jun 2016, 04:32
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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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01 Jun 2016, 05:15
1. x^3/y^3 = 27/8 > y/x = 2/3 > 3y/x = 2  sufficient !! 2. x^2/y^2 = 9/4 > y/x = +  2/ +  3 (4 possible values)  insufficient !!
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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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01 Jun 2016, 07:31
Do we exclude the option that both x & y are 0 because then in the ratio equation we would be dividing by 0?
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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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02 Jun 2016, 01:03
CounterSniper wrote: 1. x^3/y^3 = 27/8 > y/x = 2/3 > 3y/x = 2  sufficient !! 2. x^2/y^2 = 9/4 > y/x = +  2/ +  3 (4 possible values)  insufficient !!
A I think it should be Din statement 2, whether we take values as 3,2 OR 3,2, the ration remains the same.



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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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02 Jun 2016, 12:31
Bunuel wrote: If x and y are nonzero integers, what is the ratio of 3y to x?
(1) 8x^3 = 27y^3 (2) 4x^2 = 9y^2 We need to find 3y/x (1) 8x^3 = 27y^3 x= (27y^3/8)^1/3 x= 3y/2 Since we have odd power, sign of x and y will be same as of x^3 and y^3 By putting value of x in 3y/x, we will get the answer (2) 4x^2 = 9y^2 x= (9y^2/4) ^1/2 Sign of x and y may or may not be same as x^2 and y^2. Hence we can not find the ratio. Not sufficient IMO, A is the answer
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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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02 Jun 2016, 12:33
fantaisie wrote: Do we exclude the option that both x & y are 0 because then in the ratio equation we would be dividing by 0? Please note that its given that x and y are non zero integers
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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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02 Jun 2016, 12:35
KS15 wrote: CounterSniper wrote: 1. x^3/y^3 = 27/8 > y/x = 2/3 > 3y/x = 2  sufficient !! 2. x^2/y^2 = 9/4 > y/x = +  2/ +  3 (4 possible values)  insufficient !!
A I think it should be Din statement 2, whether we take values as 3,2 OR 3,2, the ration remains the same. What if it is 3, 2 or 3 2 (we can have the +ve ratio or ve ratio). IMO statement 2 is not sufficient. What do you say?
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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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02 Jun 2016, 12:38
Divyadisha wrote: KS15 wrote: CounterSniper wrote: 1. x^3/y^3 = 27/8 > y/x = 2/3 > 3y/x = 2  sufficient !! 2. x^2/y^2 = 9/4 > y/x = +  2/ +  3 (4 possible values)  insufficient !!
A I think it should be Din statement 2, whether we take values as 3,2 OR 3,2, the ration remains the same. What if it is 3, 2 or 3 2 (we can have the +ve ratio or ve ratio). IMO statement 2 is not sufficient. What do you say? Agree it should be Amy badI must be inattentive to miss such a simple one.Thanks



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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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02 Jun 2016, 12:44
I think it should be Din statement 2, whether we take values as 3,2 OR 3,2, the ration remains the same.[/quote] What if it is 3, 2 or 3 2 (we can have the +ve ratio or ve ratio). IMO statement 2 is not sufficient. What do you say?[/quote] Agree it should be Amy badI must be inattentive to miss such a simple one.Thanks[/quote] Learning together!!
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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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02 Jun 2016, 22:34
If x and y are nonzero integers, what is the ratio of 3y to x?
(1) 8x^3 = 27y^3 (2) 4x^2 = 9y^2
Statement 1>Sufficient. As given,both x and y are nonzero integers,so both x and y should have same sign( Either both should be positive or both could be negative). In either case 2x = 3y which leads to 3y/x = 2.
Statement 2>Not Sufficient. (2x3y)(2x+3y) = 0 ,that makes 3y/x = 2 or 2.



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Re: If x and y are integers, what is the ratio of 3y to x? [#permalink]
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Re: If x and y are integers, what is the ratio of 3y to x?
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