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03 Jul 2022, 09:15
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Difficulty:
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Question Stats:
71% (01:22) correct
29%
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Which of the following is always true?
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.
A. I and III
B. I, II and III
C. II
D. I and II
E. None
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.
A. I and III
B. I, II and III
C. II
D. I and II
E. None
Bunuel
Which of the following is always true?
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.
A. I and III
B. I, II and III
C. II
D. I and II
E. None
Evaluating options helps in such questions.(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.
A. I and III
B. I, II and III
C. II
D. I and II
E. None
Understand that evaluating I or II first leads to nowhere. So, look for III as in that case it will either be A or B. This helps eliminating choices, leading to right answer faster. Since I and II are almost mirror images to each other evaluating III, which is not true, is best.
Answer D.
Edit:
Answer is B.
I made a blunder in that I wrote exactly the opposite what is right. A grim mistake in evaluating III. Hope the approach of solving such kind of question is right.
03 Jul 2022, 09:56
Kudos
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unraveled
Bunuel
Which of the following is always true?
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.
A. I and III
B. I, II and III
C. II
D. I and II
E. None
Evaluating options helps in such questions.(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.
A. I and III
B. I, II and III
C. II
D. I and II
E. None
Understand that evaluating I or II first leads to nowhere. So, look for III as in that case it will either be A or B. This helps eliminating choices, leading to right answer faster. Since I and II are almost mirror images to each other evaluating III, which is not true, is best.
Answer D.
Which are the five consecutive integers for which the average of all five is not equal to the average of the largest and smallest?
