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20 May 2019, 00:36
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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:
5%
(low)
Question Stats:
100% (00:39) correct
0%
(00:00)
wrong
based on 40
sessions
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Not Attempted Yet
List S: -25, -10 , 0, 10, 25
The numbers in which of the following lists have an average (arithmetic mean) that is equal to the average of the numbers in list S ?
I. −10, −5, 0, 5, 10
II. −20, −10, 0, 10, 20
III. −25, −5, 0, 5, 25
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II and III
The numbers in which of the following lists have an average (arithmetic mean) that is equal to the average of the numbers in list S ?
I. −10, −5, 0, 5, 10
II. −20, −10, 0, 10, 20
III. −25, −5, 0, 5, 25
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II and III
22 May 2019, 06:06
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This question is a fairly straightforward question on the concept of simple average/Arithmetic Mean. Applying the definition of Arithmetic mean will be sufficient to solve this question in about a minute.
On observing List S, we see that the numbers in the list are such that their sum is ZERO. Therefore, their Arithmetic Mean will also be zero, since
Arithmetic Mean =\(\frac{Sum of all values}{Number of values}\)
and ZERO divided by anything is ZERO.
We are supposed to find out which statements out of I, II and III will give us an average of ZERO. In other words, we are trying to see which statements have numbers which sum up to ZERO.
The sum of the numbers in Statement I is ZERO. So, the average of these numbers will be equal to the average of the numbers in list S. So, any option that does not contain I can be ruled out, since we know that statement I satisfies the condition specified. Answer option B can be ruled out.
The sum of numbers in Statement II is also ZERO. So, statement II is true as well. Any option that does not contain Statement II cannot be correct. Answer option A can be ruled out.
The sum of numbers in Statement III is ZERO as well. This means all the three statements are true, and answer options C and D can be ruled out.
The correct answer option is E.
Eliminating options based on statements being true/false is the best way to quickly solve such easy questions. These type of questions are quick kill and if you can solve these within a minute, you would have done yourself a service by giving yourself an additional minute on a harder question.
Hope this helps!
Thanks.
On observing List S, we see that the numbers in the list are such that their sum is ZERO. Therefore, their Arithmetic Mean will also be zero, since
Arithmetic Mean =\(\frac{Sum of all values}{Number of values}\)
and ZERO divided by anything is ZERO.
We are supposed to find out which statements out of I, II and III will give us an average of ZERO. In other words, we are trying to see which statements have numbers which sum up to ZERO.
The sum of the numbers in Statement I is ZERO. So, the average of these numbers will be equal to the average of the numbers in list S. So, any option that does not contain I can be ruled out, since we know that statement I satisfies the condition specified. Answer option B can be ruled out.
The sum of numbers in Statement II is also ZERO. So, statement II is true as well. Any option that does not contain Statement II cannot be correct. Answer option A can be ruled out.
The sum of numbers in Statement III is ZERO as well. This means all the three statements are true, and answer options C and D can be ruled out.
The correct answer option is E.
Eliminating options based on statements being true/false is the best way to quickly solve such easy questions. These type of questions are quick kill and if you can solve these within a minute, you would have done yourself a service by giving yourself an additional minute on a harder question.
Hope this helps!
Thanks.
27 May 2019, 05:35
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Bunuel
Looking at the given list, we see that the average of the numbers is 0.
We see also that I, II, and III also have an average of zero.
Notice that in each list, each positive number has a negative counterpart, and that is how we can deduce that each set of numbers has an average of zero.
Answer: E
