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Updated on: 05 Nov 2024, 08:41
Originally posted by siddhantvarma on 05 Nov 2024, 08:39.
Last edited by siddhantvarma on 05 Nov 2024, 08:41, edited 1 time in total.
Last edited by siddhantvarma on 05 Nov 2024, 08:41, edited 1 time in total.
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In a certain sequence, nth term for all n≥2 can be obtained by subtracting 4 from the preceding term. What is the median of the sequence?
(1) The third term is 101
(2) The mean of the numbers in the sequence is 201
(1) The third term is 101
(2) The mean of the numbers in the sequence is 201
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05 Nov 2024, 08:41
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The sequence is equally spaced (AP), and the terms are a, a-4, a-8, and so on.
Statment (1) : The third term of the sequence is 101.
a=8 = 101 => a=109
Since we do not know how many terms are in the sequence, we cannot find a definite value of the median; hence, Statement (1) is NOT sufficient.
(2) The mean of the numbers in the sequence is 201.
In an equally spaced sequence, the mean is always equal to the median.
Hence, Mean = Median = 201 => Sufficient
The correct answer is Statement (2) alone is sufficient. (B)
Statment (1) : The third term of the sequence is 101.
a=8 = 101 => a=109
Since we do not know how many terms are in the sequence, we cannot find a definite value of the median; hence, Statement (1) is NOT sufficient.
(2) The mean of the numbers in the sequence is 201.
In an equally spaced sequence, the mean is always equal to the median.
Hence, Mean = Median = 201 => Sufficient
The correct answer is Statement (2) alone is sufficient. (B)
05 Nov 2024, 21:05
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The given sequence is an AP with common difference of -4. In an AP, median = mean of the data
(1) Median cannot be calculated as number of terms are not known. Insufficient
(2) Mean = 201 = Median. Sufficient
IMO B
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(1) Median cannot be calculated as number of terms are not known. Insufficient
(2) Mean = 201 = Median. Sufficient
IMO B
Study from the best self-learning GMAT Quant course on Udemy to master essential concepts and strategies! With comprehensive content, detailed explanations, and effective study plan, this course is designed to help you improve your GMAT Quant score on your own time. Check it out here:
https://www.udemy.com/course/best-gmat-quant-course-target-700-ps-and-ds/?referralCode=53DA4188CF37602183BB
