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19 Feb 2019, 06:09
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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:
85%
(hard)
Question Stats:
40% (01:45) correct
60%
(01:32)
wrong
based on 137
sessions
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Rounded to the nearest unit, x=?
(1) Rounded to the nearest unit, 6x=9
(2) Rounded to the nearest units, x/3=1
(1) Rounded to the nearest unit, 6x=9
(2) Rounded to the nearest units, x/3=1
19 Feb 2019, 09:34
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Let's start with the second statement, it will be easier to understand.
(2) Rounded to the nearest units, x/3=1. This means that the result of dividing x by 3 is between 0.5 and 1.5 (non inclusive) so that we would round it to one. This translates to:
0.5<x/3<1.5
We multiply everything by 3:
1.5<x<4.5
This statement by itself is not sufficient.
(1) Let's follow the same reasoning for statement 1. We must have:
8.5<6x<9.5
Divide everything by 6, we get approx:
1.4 < x < 1.6
By itself it's not enough, the number can be rounded down or up depending on how close it is to its lower or upper limit.
1) and 2) If we combine the inequalities, we'll have:
1.5<x<1.6
Which means x will be rounded up to 2.
Answer C!
(2) Rounded to the nearest units, x/3=1. This means that the result of dividing x by 3 is between 0.5 and 1.5 (non inclusive) so that we would round it to one. This translates to:
0.5<x/3<1.5
We multiply everything by 3:
1.5<x<4.5
This statement by itself is not sufficient.
(1) Let's follow the same reasoning for statement 1. We must have:
8.5<6x<9.5
Divide everything by 6, we get approx:
1.4 < x < 1.6
By itself it's not enough, the number can be rounded down or up depending on how close it is to its lower or upper limit.
1) and 2) If we combine the inequalities, we'll have:
1.5<x<1.6
Which means x will be rounded up to 2.
Answer C!
19 Feb 2019, 10:00
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From the Question stem its is clear that the value of X will be a unit digit
Statement 1--->
X can have multiples values ranging from 1.42 to 1.5
Thus Statement 1 is insufficient
Statement 2-->
X can have values ranging from 1.5 to 3
Thus statement 2 is also insufficient
Combining both the statements will give a Unique value of X = 1.5.
Thus C is the answer
Statement 1--->
X can have multiples values ranging from 1.42 to 1.5
Thus Statement 1 is insufficient
Statement 2-->
X can have values ranging from 1.5 to 3
Thus statement 2 is also insufficient
Combining both the statements will give a Unique value of X = 1.5.
Thus C is the answer
