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09 Jun 2021, 05:30
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:02) correct
27%
(00:54)
wrong
based on 60
sessions
History
Date
Time
Result
Not Attempted Yet
Is x = y ?
(1) The results when x and y are each rounded to the nearest tenth are equal to each other.
(2) The results when x and y are each rounded to the nearest hundredth are equal to each other.
(1) The results when x and y are each rounded to the nearest tenth are equal to each other.
(2) The results when x and y are each rounded to the nearest hundredth are equal to each other.
09 Jun 2021, 05:48
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Bunuel
Statement 1:
It is possible that x = y but we may also have close values such as x = 1.45 and x = 1.46. Insufficient.
Statement 2:
It is possible that x = y but we may also have close values such as x = 1.045 and x = 1.046. Insufficient.
Combined:
Statement 2 is a stronger statement than statement 1, alone, but statement 2 alone is insufficient so combined insufficient.
Ans: E
29 Sep 2021, 03:02
Kudos
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Bunuel
Disproving the individual statements is quite simple, but combined is what requires some might
S1: The results when x and y are each rounded to the nearest tenth are equal to each other [Insufficient]
1. Let's assume that \(x = 1.35\) and \(y = 1.42\)
2. Rounding them to the nearest tenth yields \(x = 1.4\) and \(y = 1.4\)
3. Is \(x = y\)? No
4. Let's assume that \(x = 1.42\) and \(y = 1.42\)
5. Rounding them to the nearest tenth yields \(x = 1.4\) and \(y = 1.4\)
6. Is \(x = y\)? Yes
S2: The results when x and y are each rounded to the nearest hundredth are equal to each other [Insufficient]
1. Let's assume that \(x = 1.356\) and \(y = 1.362\)
2. Rounding them to the nearest hundredth yields \(x = 1.36\) and \(y = 1.36\)
3. Is \(x = y\)? No
4. Let's assume that \(x = 1.362\) and \(y = 1.362\)
5. Rounding them to the nearest hundredth yields \(x = 1.36\) and \(y = 1.36\)
6. Is \(x = y\)? Yes
S1 + S2 [Insufficient]
1. Let's assume that \(x = 1.356\) and \(y = 1.362\)
2. Rounding them to the nearest tenth yields \(x = 1.4\) and \(y = 1.4\)
3. Rounding them to the nearest hundredth tenth yields \(x = 1.36\) and \(y = 1.36\)
4. Is \(x = y\)? No
5. Let's assume that \(x = 1.412\) and \(y = 1.412\)
6. Rounding them to the nearest tenth yields \(x = 1.4\) and \(y = 1.4\)
7. Rounding them to the nearest hundredth tenth yields \(x = 1.41\) and \(y = 1.41\)
8. Is \(x = y\)? Yes
Ans. E
