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14 Feb 2016, 05:41
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Difficulty:
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Question Stats:
46% (00:52) correct
54%
(00:49)
wrong
based on 285
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A set S contains the following elements: {7, 11, 15, 19, 23, x}. What is the value of x?
(1) The elements are in arithmetic progression.
(2) x is prime.
(1) The elements are in arithmetic progression.
(2) x is prime.
14 Feb 2016, 12:28
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Set S {7, 11, 15, 19, 23, x}
(1) The elements are in arithmetic progression.
Common different in the set = 4
x can either be 3 or 27
Not sufficient
(2) x is prime
Not sufficient as x can be any prime number
Combining 1 and 2 , we get
x=3
Answer C
(1) The elements are in arithmetic progression.
Common different in the set = 4
x can either be 3 or 27
Not sufficient
(2) x is prime
Not sufficient as x can be any prime number
Combining 1 and 2 , we get
x=3
Answer C
14 Feb 2016, 23:59
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
A set S contains the following elements: {7, 11, 15, 19, 23, x}. What is the value of x?
(1) The elements are in arithmetic progression.
(2) x is prime.
In the original condition, there is 1 variable(x), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), x=3, 27, which is not unique and not sufficient.
For 2), x=3, 29,.. which is not unique and not sufficient.
When 1) & 2), x=3, which is unique and sufficient.
Therefore, the answer is C.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
A set S contains the following elements: {7, 11, 15, 19, 23, x}. What is the value of x?
(1) The elements are in arithmetic progression.
(2) x is prime.
In the original condition, there is 1 variable(x), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), x=3, 27, which is not unique and not sufficient.
For 2), x=3, 29,.. which is not unique and not sufficient.
When 1) & 2), x=3, which is unique and sufficient.
Therefore, the answer is C.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
