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29 Aug 2019, 01:08
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Difficulty:
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95% (00:27) correct
5%
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wrong
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If County X consists of five towns, A, B, C, D, and E, how many people live in Town A?
(1) The total population of the five towns in County X is 21,000.
(2) The total population of towns B, C, D, and E is 3,000.
(1) The total population of the five towns in County X is 21,000.
(2) The total population of towns B, C, D, and E is 3,000.
31 Aug 2019, 02:38
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Surely option C will be the answer because both statements are required to answer.
Statement(1): sum of the population of five towns is 21000.
The population of four of them is 3000. So,A+3000=21000
A=18000.
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Statement(1): sum of the population of five towns is 21000.
The population of four of them is 3000. So,A+3000=21000
A=18000.
Posted from my mobile device
21 Dec 2019, 06:36
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Official Explanation
This is a Value Data Sufficiency question, so use the Pieces of the Puzzle approach to assess the question. Begin by determining “What is known” from the question stem and “What is needed” from the statements to answer the question. Determine “What is known.” Translate the information provided by the question stem into the equation A + B + C + D + E = X. Now, determine “What is needed.” In order to determine the population of town A, the statement(s) must provide information about the population of towns B, C, D, and E, as well as the total population of County X. Evaluate the statements one at a time.
Evaluate Statement (1). Statement (1) provides the population of County X, but does not provide information about the populations of towns B, C, D, and E. Therefore, the statement is insufficient. Write down BCE.
Now, evaluate Statement (2). Statement (2) provides the population of towns B, C, D, and E, but does not provide the population of County X. Therefore, the statement is insufficient. Eliminate choice B.
Now, evaluate both statements together. Substitute the values provided by the statements into the equation provided by the question stem to obtain A + 3,000 = 21,000. Solve this equation for A to determine the population of town A, which is 21,000 – 3,000 = 18,000. The combination of both statements is sufficient to answer the question.
The correct answer is choice C.
This is a Value Data Sufficiency question, so use the Pieces of the Puzzle approach to assess the question. Begin by determining “What is known” from the question stem and “What is needed” from the statements to answer the question. Determine “What is known.” Translate the information provided by the question stem into the equation A + B + C + D + E = X. Now, determine “What is needed.” In order to determine the population of town A, the statement(s) must provide information about the population of towns B, C, D, and E, as well as the total population of County X. Evaluate the statements one at a time.
Evaluate Statement (1). Statement (1) provides the population of County X, but does not provide information about the populations of towns B, C, D, and E. Therefore, the statement is insufficient. Write down BCE.
Now, evaluate Statement (2). Statement (2) provides the population of towns B, C, D, and E, but does not provide the population of County X. Therefore, the statement is insufficient. Eliminate choice B.
Now, evaluate both statements together. Substitute the values provided by the statements into the equation provided by the question stem to obtain A + 3,000 = 21,000. Solve this equation for A to determine the population of town A, which is 21,000 – 3,000 = 18,000. The combination of both statements is sufficient to answer the question.
The correct answer is choice C.
