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25 Nov 2022, 10:01
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E
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Difficulty:
45%
(medium)
Question Stats:
67% (01:52) correct
33%
(02:05)
wrong
based on 63
sessions
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On the number line, are the points x and y on different sides of zero?
(1) The distance from x to zero is equal to the distance from y to 1.
(2) The sum of the distances from x to 0 and from y to 1 is less then 1
(1) The distance from x to zero is equal to the distance from y to 1.
(2) The sum of the distances from x to 0 and from y to 1 is less then 1
25 Nov 2022, 10:43
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S1) x=0.1, y=0.9
Distance x to 0 = 0.1
Distance y to 1 = 0.1
In this case both x and y are to the right side of 0.
x= -0.1 , y=0.9
Distance x to 0 = 0.1
Distance y to 1 = 0.1
In this case x is to the left of 0 and y is to the right side of 0.
S1 is not sufficient.
Option A and D are out.
S2)x=0.1, y=0.9
Sum of distances = 0.2 (<1)In this case both x and y are to the right side of 0.
x= -0.1 , y=0.9
Sum of distances = 0.2 (<1)
In this case x is to the left of 0 and y is to the right side of 0.
S2 is not sufficient.
Option B is out.
Combining S1 and S2, together with same example above will not help.
Hence I would go with E.
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Distance x to 0 = 0.1
Distance y to 1 = 0.1
In this case both x and y are to the right side of 0.
x= -0.1 , y=0.9
Distance x to 0 = 0.1
Distance y to 1 = 0.1
In this case x is to the left of 0 and y is to the right side of 0.
S1 is not sufficient.
Option A and D are out.
S2)x=0.1, y=0.9
Sum of distances = 0.2 (<1)In this case both x and y are to the right side of 0.
x= -0.1 , y=0.9
Sum of distances = 0.2 (<1)
In this case x is to the left of 0 and y is to the right side of 0.
S2 is not sufficient.
Option B is out.
Combining S1 and S2, together with same example above will not help.
Hence I would go with E.
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25 Nov 2022, 13:50
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Question: On the number line, are the points x and y on different sides of zero?
We can use visualization to solve the question.
Statement 1
(1) The distance from x to zero is equal to the distance from y to 1.
Statement 1 just gives us the information of the distance between x and 0 and the distance between y and 1.
We can't infer which side of 0 either of the variable will lie (as shown in case 1 and case 2).
Hence we can eliminate A and D.
Statement 2
(2) The sum of the distances from x to 0 and from y to 1 is less then 1
Even with this information we can have the variable places on the number line so that both of them can lie on the same side of zero, or both can lie on the opposite side of zero.
The statement is insufficient. We can eliminate B.
At this stage itself we can conclude that combination will not help.
Combined
The statements combined merely tells us the distances are equal and the sum is less than 1. However the information doesn't provide information on the relative position.
Hence the statements combined wont help.
Option E
We can use visualization to solve the question.
Statement 1
(1) The distance from x to zero is equal to the distance from y to 1.
Statement 1 just gives us the information of the distance between x and 0 and the distance between y and 1.
We can't infer which side of 0 either of the variable will lie (as shown in case 1 and case 2).
Hence we can eliminate A and D.
Statement 2
(2) The sum of the distances from x to 0 and from y to 1 is less then 1
Even with this information we can have the variable places on the number line so that both of them can lie on the same side of zero, or both can lie on the opposite side of zero.
The statement is insufficient. We can eliminate B.
At this stage itself we can conclude that combination will not help.
Combined
The statements combined merely tells us the distances are equal and the sum is less than 1. However the information doesn't provide information on the relative position.
Hence the statements combined wont help.
Option E
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