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29 Jan 2026, 22:00
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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:
75%
(hard)
Question Stats:
49% (02:17) correct
51%
(01:21)
wrong
based on 117
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Murtaugh Dynamics and O.R.E Machinery are sister firms. Rounded to the nearest thousand, what was the combined 2022-2023 revenue for the two firms?
(1) Rounded to the nearest thousand, the 2022-2023 revenues for Murtaugh Dynamics and O.R.E Machinery were $200,000 and $150,000 respectively.
(2) The exact revenue figures for Murtaugh Dynamics and O.R.E Machinery were each within 0.4% of the rounded figures.
(1) Rounded to the nearest thousand, the 2022-2023 revenues for Murtaugh Dynamics and O.R.E Machinery were $200,000 and $150,000 respectively.
(2) The exact revenue figures for Murtaugh Dynamics and O.R.E Machinery were each within 0.4% of the rounded figures.
30 Jan 2026, 06:49
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Murtaugh Dynamics and O.R.E Machinery are sister firms. Rounded to the nearest thousand, what was the combined 2022-2023 revenue for the two firms?
(1) Rounded to the nearest thousand, the 2022-2023 revenues for Murtaugh Dynamics and O.R.E Machinery were $200,000 and $150,000 respectively.
(2) The exact revenue figures for Murtaugh Dynamics and O.R.E Machinery were each within 0.4% of the rounded figures.
Let's look at each statement individually and then at both of them together (if required):
Statement 1: Rounded to the nearest thousand, the 2022-2023 revenues for Murtaugh Dynamics and O.R.E Machinery were $200,000 and $150,000 respectively.
According to this statement, the combined rounded sum would be $350,000.
However,
Actual revenue of Murtaugh Dynamics could range from $199,500 to $200,499.
Actual revenue of O.R.E Machinery could range from $149,500 to $150,499.
Hence, the combined revenue could range from $349,000 to $350,998
These round to different thousands as $349,000 rounds to $349,000; $350,998 rounds to $351,000.
Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The exact revenue figures for Murtaugh Dynamics and O.R.E Machinery were each within 0.4% of the rounded figures.
0.4% of $200,000 = $800 and 0.4% of $150,000 = $600
Even small rounding differences can add up and change the rounded total.
Hence, Statement 2 is also insufficient alone.
Now, let's take a look at the combination of both statements - Statement 1 and Statement 2:
Even with both the statements together, the individual revenues of both the firms can still vary enough that the combined revenue may round to different thousands, thus, the combined rounded revenue cannot be uniquely determined.
Hence, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
(1) Rounded to the nearest thousand, the 2022-2023 revenues for Murtaugh Dynamics and O.R.E Machinery were $200,000 and $150,000 respectively.
(2) The exact revenue figures for Murtaugh Dynamics and O.R.E Machinery were each within 0.4% of the rounded figures.
Let's look at each statement individually and then at both of them together (if required):
Statement 1: Rounded to the nearest thousand, the 2022-2023 revenues for Murtaugh Dynamics and O.R.E Machinery were $200,000 and $150,000 respectively.
According to this statement, the combined rounded sum would be $350,000.
However,
Actual revenue of Murtaugh Dynamics could range from $199,500 to $200,499.
Actual revenue of O.R.E Machinery could range from $149,500 to $150,499.
Hence, the combined revenue could range from $349,000 to $350,998
These round to different thousands as $349,000 rounds to $349,000; $350,998 rounds to $351,000.
Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The exact revenue figures for Murtaugh Dynamics and O.R.E Machinery were each within 0.4% of the rounded figures.
0.4% of $200,000 = $800 and 0.4% of $150,000 = $600
Even small rounding differences can add up and change the rounded total.
Hence, Statement 2 is also insufficient alone.
Now, let's take a look at the combination of both statements - Statement 1 and Statement 2:
Even with both the statements together, the individual revenues of both the firms can still vary enough that the combined revenue may round to different thousands, thus, the combined rounded revenue cannot be uniquely determined.
Hence, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
01 Feb 2026, 11:45
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Explanation:
Let the exact revenue for Murtaugh Dynamics in 2022-2023 be M.
Let the exact revenue for O.R.E Machinery in 2022-2023 be O.
The combined 2022-2023 exact revenue for the two firms = M + O
We need to find whether the value of M + O rounded to the nearest thousand can be determined.
Statement (1)
Rounded to the nearest thousand the 2022-2023 revenue for Murtaugh Dynamics = $200,000
This implies that 199,500 < M < 200,500 (Equation I)
Rounded to the nearest thousand the 2022-2023 revenue for O.R.E Machinery = $150,000
This implies that 149,500 < O < 150,500 (Equation I)
Adding Equations I and II,
199,500 + 149,500 < M + O < 200,500 + 150,500
349,000 < M + O < 351,000
Possibility 1: If M + O = 349,001, then M + O rounded to the nearest thousand = 349,000.
Possibility 2: If M + O = 350,999, then M + O rounded to the nearest thousand = 351,000.
It is NOT possible to determine the value of M + O rounded to the nearest thousand. Hence, Statement (1) is insufficient.
Statement (2)
The exact revenue figures for Murtaugh Dynamics and O.R.E Machinery were each within 0.4% of the rounded figures.
Since no information is provided regarding the rounded revenue figures, it is NOT possible to determine the value of M + O rounded to the nearest thousand. Hence, Statement (2) is insufficient.
As Statement (1) alone as well as Statement (2) alone is insufficient to answer the question, we need to now combine the two statements.
Statement (1) and Statement (2) combined
The two statements combined give us the following equations:
200,000 – 0.4% of 200,000 < M < 200,000 + 0.4% of 200,000
200,000 – 800 < M < 200,000 + 800 (Equation III)
Similarly,
150,000 – 0.4% of 150,000 < O < 150,000 + 0.4% of 150,000
150,000 – 600 < O < 150,000 + 600 (Equation IV)
Adding Equations III and IV,
200,000 – 800 + 150,000 – 600 < M + O < 200,000 + 800 + 150,000 + 600
350,000 – 1,400 < M + O < 350,000 + 1,400
Possibility 1: If M + O = 350,000 – 1,001, then M + O rounded to the nearest thousand will be less than 350,000.
Possibility 2: If M + O = 350,000 + 1,001, then M + O rounded to the nearest thousand will be more than 350,000.
It is NOT possible to determine the value of M + O rounded to the nearest thousand. Hence, Statement (1) and Statement (2) combined are insufficient.
E is the correct answer choice.
