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22 May 2018, 04:24
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D
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:
98% (00:43) correct
2%
(00:34)
wrong
based on 163
sessions
History
Date
Time
Result
Not Attempted Yet
If integer x is divisible by 3, which of the following is not divisible by 3?
A. 6 − x
B. x + 9
C. 2x
D. 3x + 5
E. 4x − 6
A. 6 − x
B. x + 9
C. 2x
D. 3x + 5
E. 4x − 6
22 May 2018, 05:17
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Bunuel
Since x is a multiple of 3, any addition, multiplication or subtraction operation that is a multiple of 3 or multiple of x done to x, will ensure that the resultant answer is divisible by 3.
It is only option D that violates the condition above.
Hence option D = 3x + 5 is the answer.
22 May 2018, 05:39
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Solution
Given:
• The variable x is divisible by 3
To find:
• Which of the given options is not divisible by 3
Approach and Working:
As it is given that x is divisible by 3, we can assume x = 3k, where k is a non-zero constant
Now considering each of the options as follows:
• 6 – x = 6 – 3k = 3(2 – k)
- o Divisible by 3
- o Divisible by 3
- o Divisible by 3
- o Not divisible by 3
- o Divisible by 3
We can see option D is not divisible by 3
Hence, the correct answer is option D.
Answer: D
