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C
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Difficulty:
45%
(medium)
Question Stats:
53% (01:27) correct
48%
(01:14)
wrong
based on 40
sessions
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02 Mar 2023, 00:15
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TBT
Statement 1
From statement 1, we can infer that x lies to the right of y when plotted on a number line and that the distance between x and y is 2 units. We however don't know the relative position of 0, hence the statement is not sufficient.
To understand this better consider the following scenarios
Case 1
--------- y ---------- x --------- 0 ------------
Case 2
--------- 0 ---------- y --------- x ------------
Case 3
--------- y ---------- 0 --------- x ------------
In Case 2, both x and y are positive, not in the other two cases.
Statement 2
(2) \(\frac{ x}{y }\)> 1[/quote]
Inference: The magnitude of x is greater than the magnitude of y and x and y are of the same sign.
Case 1
--------- x ---------- y --------- 0 ------------
Case 2
--------- 0 ---------- y --------- x ------------
As x and y can be both positive or negative, the statement is not sufficient.
Combined
The statements once combined result into a single case
--------- 0 ---------- y --------- x ------------
As x and y both lie to the right of 0, we can conclude that x and y are positive.
The statements combined are sufficient.
Option C
