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17 Oct 2020, 13:23
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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:
80% (01:08) correct
20%
(00:44)
wrong
based on 86
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What is the arithmetic mean (simple average) of three numbers?
(1) The absolute value of one number equals the value of one of the other two numbers.
(2) The value of one, and only one, of the three numbers is 0.
(1) The absolute value of one number equals the value of one of the other two numbers.
(2) The value of one, and only one, of the three numbers is 0.
17 Oct 2020, 14:35
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Bunuel
Using both Statements, our list could be:
0, 3, 3
which has an average of 2, or it could be
-3, 0, 3
which has an average of zero. So the answer is E.
If we knew the three numbers were distinct, then Statement 1 would guarantee two of our numbers were negatives of each other, and thus would guarantee they summed to zero, so if we were told that, the answer would be C. But as written, it's E.
18 Oct 2020, 02:09
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Forget the conventional way to solve DS questions.
We will solve this DS question using the variable approach.
DS question with 3 variables: Let the original condition in a DS question contain 3 variables. Now, 3 variables would generally require 3 more equations for us to be able to solve for the value of the variable.
We know that each condition would usually give us an equation, and Since we need 3 more equations to match the numbers of variables and equations in the original condition, the logical answer is E.
To master the Variable Approach, visit https://www.mathrevolution.com and check our lessons and proven techniques to score high in DS questions.
Let’s apply the 3 steps suggested previously. [Watch lessons on our website to master these 3 steps]
Step 1 of the Variable Approach: Modifying and rechecking the original condition and the question.
=> Let the three numbers be 'a', 'b' and 'c'.
=> We have to find Average of three numbers: \(\frac{(a + b + c)}{ 3}\) ?.
Second and the third step of Variable Approach: From the original condition, we have 3 variables (a, b, and c).To match the number of variables with the number of equations, we need 3 more equations. Since conditions (1) and (2) will provide 2 equations, E would most likely be the answer.
Let’s take look at both condition together.
Condition(1) tells us that The absolute value of one number equals the value of one of the other two numbers.
Condition(2) tells us that The value of one, and only one, of the three numbers is 0.
=> The list of three numbers by both the conditions: 0, 5, 5 or -5, 0, 5
=> Average (0, 5, 5) = \(\frac{10}{3}\) and Average (-5, 0, 5) = 0
Since the answer is not unique , both conditions combined together are not sufficient by CMT 2.
Both conditions combined together are not sufficient.
So, E is the correct answer.
Answer: E
SAVE TIME: By Variable Approach, when you know that we need three equations, we will directly combine the conditions to solve. We will save time in not checking the conditions individually.
We will solve this DS question using the variable approach.
DS question with 3 variables: Let the original condition in a DS question contain 3 variables. Now, 3 variables would generally require 3 more equations for us to be able to solve for the value of the variable.
We know that each condition would usually give us an equation, and Since we need 3 more equations to match the numbers of variables and equations in the original condition, the logical answer is E.
To master the Variable Approach, visit https://www.mathrevolution.com and check our lessons and proven techniques to score high in DS questions.
Let’s apply the 3 steps suggested previously. [Watch lessons on our website to master these 3 steps]
Step 1 of the Variable Approach: Modifying and rechecking the original condition and the question.
=> Let the three numbers be 'a', 'b' and 'c'.
=> We have to find Average of three numbers: \(\frac{(a + b + c)}{ 3}\) ?.
Second and the third step of Variable Approach: From the original condition, we have 3 variables (a, b, and c).To match the number of variables with the number of equations, we need 3 more equations. Since conditions (1) and (2) will provide 2 equations, E would most likely be the answer.
Let’s take look at both condition together.
Condition(1) tells us that The absolute value of one number equals the value of one of the other two numbers.
Condition(2) tells us that The value of one, and only one, of the three numbers is 0.
=> The list of three numbers by both the conditions: 0, 5, 5 or -5, 0, 5
=> Average (0, 5, 5) = \(\frac{10}{3}\) and Average (-5, 0, 5) = 0
Since the answer is not unique , both conditions combined together are not sufficient by CMT 2.
Both conditions combined together are not sufficient.
So, E is the correct answer.
Answer: E
SAVE TIME: By Variable Approach, when you know that we need three equations, we will directly combine the conditions to solve. We will save time in not checking the conditions individually.
