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11 Aug 2023, 05:00
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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:
15%
(low)
Question Stats:
86% (01:19) correct
14%
(01:29)
wrong
based on 499
sessions
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\(n_1, \ n_2, \ n_3, \ n_4, \ n_5, \ n_6, \ n_7\)
Iris delivered newspapers for 7 consecutive weeks. In the sequence above, n; represents the number of newspapers that Iris delivered in the \(i_{th}\) week for \(1 ≤ i ≤ 7\). For each week after the first, did Iris deliver more newspapers in that week than in the preceding week?
(1) \(n_1 <n_3 <n_5 < n_7\)
(2) \(n_2 <n_4 <n_6 < n_7\)
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11 Aug 2023, 09:17
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Bunuel
We can use a number line to solve this question.
Statement 1
(1) \(n_1 <n_3 <n_5 < n_7\)
While we know the relative positions of four of the numbers, we don't know at what positions the other numbers are places on the number line.
Case 1(a) - Each of the remaining numbers (n2, n4, and n6) is lower than the succeeding numbers. If that was the case, the response to the question - For each week after the first, did Iris deliver more newspapers in that week than in the preceding week? - Yes !
Case 1(b) - Not all of the remaining numbers (n2, n4, and n6) are less than the succeeding numbers. If that was the case, the response to the question - For each week after the first, did Iris deliver more newspapers in that week than in the preceding week? - No !
We can eliminate A and D.
Attachment:
St1.jpg [ 23.98 KiB | Viewed 19023 times ]
Statement 2
(2) \(n_2 <n_4 <n_6 < n_7\)
While we know the relative positions of four of the numbers, we don't know at what positions the other numbers are places on the number line.
Case 2(a) - Each of the remaining numbers (n2, n4, and n6) is lower than the succeeding numbers. If that was the case, the response to the question - For each week after the first, did Iris deliver more newspapers in that week than in the preceding week? - Yes !
Case 2(b) - Not all of the remaining numbers (n2, n4, and n6) are less than the succeeding numbers. If that was the case, the response to the question - For each week after the first, did Iris deliver more newspapers in that week than in the preceding week? - No !
We can eliminate B.
Attachment:
St2.jpg [ 22.44 KiB | Viewed 18178 times ]
Combined
The statements combined can also yield two results. One in which the numbers are placed in such a way that each preceding number is less than its succeeding number and the other in which the numbers are placed randomly so that not all numbers are less than the succeeding numbers.
Attachment:
Combined.jpg [ 21.2 KiB | Viewed 18053 times ]
Option E
29 Aug 2023, 09:47
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Bunuel
We need to answer the question:
Is n₁ < n₂ < n₃ < n₄ < n₅ < n₆ < n₇ ?
Statement One Alone:
=> n₁ < n₃ < n₅ < n₇
If, in chronological, the numbers of delivered newspapers are 1, 2, 3, 4, 5, 6, and 7, then the answer is Yes.
Whereas, if, in chronological, the numbers of delivered newspapers are 1, 1, 3, 3, 5, 5, and 7, then the answer is No.
Statement one is not sufficient. Eliminate answer choices A and D.
Statement Two Alone:
=> n₂ < n₄ < n₆ < n₇
Notice that we can use the same cases as above for testing.
Statement two is not sufficient. Eliminate answer choice B.
Statements One and Two Together:
Notice that we can use the same cases as above for testing.
The two statements together are not sufficient.
Answer: E
