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Updated on: 30 Jan 2022, 08:58
Originally posted by ArathiKrishnan on 30 Jan 2022, 05:04.
Last edited by Bunuel on 30 Jan 2022, 08:58, edited 1 time in total.
Last edited by Bunuel on 30 Jan 2022, 08:58, edited 1 time in total.
Renamed the topic and the tags.
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If w, x, y and z are all positive numbers, is the value of w-x greater than y-z?
(1) w + z = y + x
(2) w and x are each greater in value than either y or z.
(1) w + z = y + x
(2) w and x are each greater in value than either y or z.
30 Jan 2022, 10:26
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ArathiKrishnan
If w, x, y and z are all positive numbers, is the value of w-x greater than y-z?
(1) w + z = y + x
(2) w and x are each greater in value than either y or z.
Question:(1) w + z = y + x
(2) w and x are each greater in value than either y or z.
\(w - x > y - z\)
Statement (1) is the same as the inequality, only rearranged:
\(w - x > y - z\)
\(w + z > y + x\)
Since the statement tells us that the two sides are equal, we can conclude that the answer is NO, and Statement (1) is SUFFICIENT on its own.
Statement (2) does not help us because w and x could both be, say, 5, while y and z could both be 2, and the two sides would be equal. But it could also be true that the left-hand side is greater. Consider:
w = 5
x = 4
y = 1
z = 2
\(5 - 4 > 1 - 2\)
\(1 > -1\)
And we have only explored integer values. Clearly, Statement (2) is NOT sufficient on its own, meaning the answer must be (A).
- Andrew
31 Jan 2022, 09:31
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ArathiKrishnan
If w, x, y and z are all positive numbers, is the value of w-x greater than y-z?
(1) w + z = y + x
(2) w and x are each greater in value than either y or z.
(1) w + z = y + x
(2) w and x are each greater in value than either y or z.
given that xywz are all +ver numbers
target is
w-x>y-z
w+z>y+x
#1
w + z = y + x
sufficient to target yes
#2
w and x are each greater in value than either y or z.
w & x are > than y and z
but there is not relation b/w w & x so insufficient as we can have case
1234
such that 4-3>2-1 ; no
10 5 3 1
10-5 > 3-1 ; yes
insufficient
option A
