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If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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01 Feb 2014, 14:05
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If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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02 Feb 2014, 01:50
If x·y≠0, what is the value of x/y?xy≠0 implies that neither of them is 0. (1) −x=y. Notice that this implies that y must be a negative number. If \(x>0\), then \(x=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(x<0\), then \((x)=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). Not sufficient. (2) −y=x. Notice that this implies that x must be a negative number. If \(y>0\), then \(y=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(y<0\), then \((y)=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). Not sufficient. (1)+(2) Since from (2) we have that x is a negative number, then from (1) x=y, becomes (x)=y > x=y > x/y=1. Sufficient. Answer: C. Hope it's clear.
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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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01 Feb 2014, 14:08
What I did was
Statement 1
y + x = 0, since x and y are different from zero then it means that x = y
So the value of y/y = 1
Sufficient
Statement 2
x+y=0, means that y= x
So the value of x/x = 1
Sufficient
Hence D
Must be something wrong with this approach, or I may be overlooking something Would anybody please clarify
Cheers J



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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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15 May 2014, 01:47
Bunuel wrote: If x·y≠0, what is the value of x/y?
xy≠0 implies that neither of them is 0.
(1) −x=y. Notice that this implies that y must be a negative number.
If \(x>0\), then \(x=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(x<0\), then \((x)=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(2) −y=x. Notice that this implies that x must be a negative number.
If \(y>0\), then \(y=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(y<0\), then \((y)=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(1)+(2) Since from (2) we have that x is a negative number, then from (1) x=y, becomes (x)=y > x=y > x/y=1. Sufficient.
Answer: C.
Hope it's clear. Hi Bunuel I could not really understand how the values of 'x' were obtained in the 1st highlighted text. From Statement 1, 'y' has to be a negative number. Then, are the values for 'x' to be obtained only by having 'y' as a negative number? In the 2nd highlighted text, don't we have to consider the value of 'y' too? Thanks in advance.



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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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15 May 2014, 02:13
shaderon wrote: Bunuel wrote: If x·y≠0, what is the value of x/y?
xy≠0 implies that neither of them is 0.
(1) −x=y. Notice that this implies that y must be a negative number.
If \(x>0\), then \(x=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(x<0\), then \((x)=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(2) −y=x. Notice that this implies that x must be a negative number.
If \(y>0\), then \(y=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(y<0\), then \((y)=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(1)+(2) Since from (2) we have that x is a negative number, then from (1) x=y, becomes (x)=y > x=y > x/y=1. Sufficient.
Answer: C.
Hope it's clear. Hi Bunuel I could not really understand how the values of 'x' were obtained in the 1st highlighted text. From Statement 1, 'y' has to be a negative number. Then, are the values for 'x' to be obtained only by having 'y' as a negative number? In the 2nd highlighted text, don't we have to consider the value of 'y' too? Thanks in advance. If you look at St 1 we are given that −x=y or y+x=0 > 1 Some important properties about x When \(x\leq{0}\) then \(x=x\), or more generally when \(some \ expression\leq{0}\) then \(some \ expression={(some \ expression)}\). For example: \(5=5=(5)\); When \(x\geq{0}\) then \(x=x\), or more generally when \(some \ expression\geq{0}\) then \(some \ expression={some \ expression}\). For example: \(5=5\); Also note that \(X\geq{0}\) So from St 1 we have y + (Some positive no. x)= 0 > y is a negative no. Now we need to find \(x/y\) and not \(x/y\) and therefore you need to know x to calculate value of y. What you know from St 1 is that y is a negative no but you don't know whether x is a negative or positive no. Similarly St 2 −y=x means x+y=0 > This means x is a negative no. but we don't know anything about y. It can be positive or negative Now when you combine the 2 statements you get both x and y are negative and x=y and thus x/y= 1 Hope it helps
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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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01 May 2016, 12:04
Hi bunuel Please let me know the concept behind answer choice c. I got how answer choice a & b can not deliver single option. thank you in advance.



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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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02 May 2016, 03:02



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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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05 Jul 2017, 03:03
Bunuel wrote: If x·y≠0, what is the value of x/y?
xy≠0 implies that neither of them is 0.
(1) −x=y. Notice that this implies that y must be a negative number.
If \(x>0\), then \(x=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(x<0\), then \((x)=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(2) −y=x. Notice that this implies that x must be a negative number.
If \(y>0\), then \(y=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(y<0\), then \((y)=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(1)+(2) Since from (2) we have that x is a negative number, then from (1) x=y, becomes (x)=y > x=y > x/y=1. Sufficient.
Answer: C.
Hope it's clear. I have a little question. So let's use values for both the statements, Statement 1: x = y This means that y is a negative integer, but the magitude is same for both x and y. Now since x cannot be equal to y, therefore x will be the same number but in positive. For example, if y= 3, x will have to be +3 because otherwise if it is 3, then x and y will be exactly the saem which shouldn't be. Thus x/y will definitely be equal to 1. Thus statement is sufficient. Similarly, statement 2 is also sufficient. Please correct me, if I am wrong. Please give KUDOS, if you like my effort.
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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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05 Jul 2017, 03:11
rekhabishop wrote: Bunuel wrote: If x·y≠0, what is the value of x/y?
xy≠0 implies that neither of them is 0.
(1) −x=y. Notice that this implies that y must be a negative number.
If \(x>0\), then \(x=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(x<0\), then \((x)=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(2) −y=x. Notice that this implies that x must be a negative number.
If \(y>0\), then \(y=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(y<0\), then \((y)=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(1)+(2) Since from (2) we have that x is a negative number, then from (1) x=y, becomes (x)=y > x=y > x/y=1. Sufficient.
Answer: C.
Hope it's clear. I have a little question. So let's use values for both the statements, Statement 1: x = y This means that y is a negative integer, but the magitude is same for both x and y. Now since x cannot be equal to y, therefore x will be the same number but in positive. For example, if y= 3, x will have to be +3 because otherwise if it is 3, then x and y will be exactly the saem which shouldn't be. Thus x/y will definitely be equal to 1. Thus statement is sufficient. Similarly, statement 2 is also sufficient. Please correct me, if I am wrong. Please give KUDOS, if you like my effort. Why cannot x and y be equal? Note here that unless it is explicitly stated otherwise, different variables CAN represent the same number.
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Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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05 Jul 2017, 03:16
Bunuel wrote: rekhabishop wrote: Bunuel wrote: If x·y≠0, what is the value of x/y?
xy≠0 implies that neither of them is 0.
(1) −x=y. Notice that this implies that y must be a negative number.
If \(x>0\), then \(x=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(x<0\), then \((x)=y\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(2) −y=x. Notice that this implies that x must be a negative number.
If \(y>0\), then \(y=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\). If \(y<0\), then \((y)=x\) > \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=1\).
Not sufficient.
(1)+(2) Since from (2) we have that x is a negative number, then from (1) x=y, becomes (x)=y > x=y > x/y=1. Sufficient.
Answer: C.
Hope it's clear. I have a little question. So let's use values for both the statements, Statement 1: x = y This means that y is a negative integer, but the magitude is same for both x and y. Now since x cannot be equal to y, therefore x will be the same number but in positive. For example, if y= 3, x will have to be +3 because otherwise if it is 3, then x and y will be exactly the saem which shouldn't be. Thus x/y will definitely be equal to 1. Thus statement is sufficient. Similarly, statement 2 is also sufficient. Please correct me, if I am wrong. Please give KUDOS, if you like my effort. Why cannot x and y be equal? Note here that unless it is explicitly stated otherwise, different variables CAN represent the same number. Sorry, my bad. I read X*Y not equal to zero as, XY not equal to zero.
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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x
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Re: If x·y≠0, what is the value of x/y? (1) −x=y (2) −y=x &nbs
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