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23 Apr 2018, 23:36
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
77% (00:45) correct
23%
(01:02)
wrong
based on 881
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If x is an integer, what is the least possible value of |19 - 3x| ?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
24 Apr 2018, 00:04
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Solution
Given:
• x is an integer
To find:
• The least possible value of |19 – 3x|
Approach and Working:
• As it is a modulus expression, the value of it cannot be negative. The least value of any modulus expression can be 0.
• If we equate |19 – 3x| = 0, we get x = 19/3
- o As x is an integer, the nearest possible values for x will be 6 or 7
• If x = 7, |19 – 3x| = 2
• If we take any other values of x, like x = 5 or x = 8, the value of the expression |19 – 3x| increases from 1.
- o Therefore, the least possible value of |19 – 3x| is 1.
Hence, the correct answer is option B.
Answer: B
24 Apr 2018, 02:34
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Bunuel
If x is an integer, what is the least possible value of |19 - 3x| ?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Least possible value of a mod function is 0
Here 0 can be attained by 19 = 3x or at x = 19/3, but since x is integer, the closest integer to 19/3 is 6
So at x=6, the function |19-3x| is least and the value is |19-18| = 1
Hence B
