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11 Oct 2019, 01:49
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C
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:
88% (01:42) correct
13%
(01:47)
wrong
based on 72
sessions
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If x is an integer between 27 and 54, what is the value of x?
(1) The remainder when x is divided by 7 is 2.
(2) The remainder when x is divided by 3 is 2.
(1) The remainder when x is divided by 7 is 2.
(2) The remainder when x is divided by 3 is 2.
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11 Oct 2019, 09:39
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We know that x is an integer and that 27<x<54
(1) As per this statement x=7k+2
There are 4 number numbers between 27 and 54, i.e.30,37, 44, and 51 of the form 7k+2, so we don't get a unique value of x.
Thus, insufficient.
(2) This statement says that x=3m+2.
Again, more than one number between 27 and 54 is of the form 3m+2, so we don't get a unique value of x.
Thus, insufficient.
From (1) and (2), we get that x if form 3m+2 and 7k+2, or 21j+2.
The only number 27 and 54 of the form 21j+2 is 44.
Thus, sufficient.
Therefore, the answer is option C.
(1) As per this statement x=7k+2
There are 4 number numbers between 27 and 54, i.e.30,37, 44, and 51 of the form 7k+2, so we don't get a unique value of x.
Thus, insufficient.
(2) This statement says that x=3m+2.
Again, more than one number between 27 and 54 is of the form 3m+2, so we don't get a unique value of x.
Thus, insufficient.
From (1) and (2), we get that x if form 3m+2 and 7k+2, or 21j+2.
The only number 27 and 54 of the form 21j+2 is 44.
Thus, sufficient.
Therefore, the answer is option C.
11 Oct 2019, 10:00
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Bunuel
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Since we have 1 variable (x) and 0 equations, D is most likely to be the answer. So, we should consider each condition on its own first.
Condition 1)
The possible values of x are 30, 37, 44 and 51.
Since condition 1) does not yield a unique solution, it is not suffiecient.
Condition 2)
The possible values of x are 29, 32, 35, 38, 41, 44, 47, 50 and 53.
Since condition 2) does not yield a unique solution, it is not suffiecient.
Conditions 1) & 2)
When we conisder both conditions together, the only possible value of x is 44.
Since both conditions together yield a unique solution, they are sufficient.
Therefore, C is the answer.
If the original condition includes “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations” etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E.
