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30 Sep 2020, 08:53
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For problems like the below, do we always assume that the four integers will signify different numbers? Because otherwise, if w can be equal to x, the answer will be different.
1. If set S consists of the positive integers w, x, y, and z, is the range of the numbers in S greater than 6 ?
(1) No two numbers in set S are consecutive.
(2) None of the numbers in set S are multiples of 3.
For the above example, while the correct answer is C, if any of the four digits w, x, y and z could be equal to each other, like 2, 2, 4, 7 for example, then the answer would be E. So how do we know for sure when the question does not specify that the integers are all different? Do we assume that because of the "different letters" used?
Another example of such a problem where it is vague -
2. If x = 0.abcd, where a, b, c, and d each represent a nonzero digit of x, what is the value of x ?
(1) a/2 = b = 2c = 4d
(2) The product of a and d is equal to the product of b and c.
In the above example, if we only looked at option 2, could we consider that all four digits could be equal to 1? Or the different letters a, b, c, d automatically mean different digits?
1. If set S consists of the positive integers w, x, y, and z, is the range of the numbers in S greater than 6 ?
(1) No two numbers in set S are consecutive.
(2) None of the numbers in set S are multiples of 3.
For the above example, while the correct answer is C, if any of the four digits w, x, y and z could be equal to each other, like 2, 2, 4, 7 for example, then the answer would be E. So how do we know for sure when the question does not specify that the integers are all different? Do we assume that because of the "different letters" used?
Another example of such a problem where it is vague -
2. If x = 0.abcd, where a, b, c, and d each represent a nonzero digit of x, what is the value of x ?
(1) a/2 = b = 2c = 4d
(2) The product of a and d is equal to the product of b and c.
In the above example, if we only looked at option 2, could we consider that all four digits could be equal to 1? Or the different letters a, b, c, d automatically mean different digits?
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01 Oct 2020, 13:26
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If different letters are assigned to the variables, it doesn't mean that they can't take same values.Hence, a,b,c and d can have same values in Q2. But in Q1, variables w, x, y and z must be distinct because a set always contains distinct elements.
Bibah
02 Oct 2020, 07:20
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Thank you so much. Question 2 confused me because the explanation I received from GMAT Hacks stated-
"Statement (2) is insufficient: a, b, c, and d could be 1, 2, 4, and 8 or 1, 2, 3, and 6."
It didn't use repetitive numbers as an example so I was wondering if that is not an option.
"Statement (2) is insufficient: a, b, c, and d could be 1, 2, 4, and 8 or 1, 2, 3, and 6."
It didn't use repetitive numbers as an example so I was wondering if that is not an option.
