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Of the three numbers, median is M and average is A, is M<A? (1) M is less than the average of the largest and smallest number. (2) The largest number is 250 greater than the average, and the smallest number is 150 less than the average. A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient. C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient. D. Each Statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Of the three numbers, median is M and average is A, is M<A? (1) M is less than the average of the largest and smallest number. (2) The largest number is 250 greater than the average, and the smallest number is 150 less than the average.
S2. Let the three numbers be x,y,z in ascendign order; In this case y will be the median Average = x+y+z/3 = A z = A+250 and x = A -150
3A = A-150 + y + A+250 A = y + 100 Hence average is greater than the median A> M; so ACE are out BD in
Of the three numbers, median is M and average is A, is M<A? (1) M is less than the average of the largest and smallest number. (2) The largest number is 250 greater than the average, and the smallest number is 150 less than the average. A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient. C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient. D. Each Statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.