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|-1 - 2| - |5 - 6| - |-3 + 4| = ?

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Sajjad1994
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|-1 - 2| - |5 - 6| - |-3 + 4| = ? [#permalink] New post   19 Mar 2020, 22:20
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A
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C
D
E

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\(|-1 - 2| - |5 - 6| - |-3 + 4| =\) ?

(A) 25
(B) 23
(C) 1
(D) 3
(E) 5
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C
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CrackverbalGMAT
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Re: |-1 - 2| - |5 - 6| - |-3 + 4| = ? [#permalink] New post   20 Mar 2020, 04:39
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This is a very simple question on the concepts of absolute values which tests your basic knowledge of absolute values.

Regardless of whether there is a positive number or a negative number within the modulus symbol, the output will always be positive. This should be your most fundamental understanding of the concepts of absolute value.

Let us look at the individual terms on the LHS, deal with them separately and then bring them all together at the end.
|-1-2| = |-3| = 3.
|5-6| = |-1| = 1
|-3+4| = |1| = 1.

Therefore, |−1−2|−|5−6|−|−3+4|= 3 – 1 – 1 = 3-2 = 1.

The correct answer option is C. Hope that helps!
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Re: |-1 - 2| - |5 - 6| - |-3 + 4| = ? [#permalink] New post   20 Mar 2020, 00:55
SajjadAhmad wrote:
\(|-1 - 2| - |5 - 6| - |-3 + 4| =\) ?

(A) 25
(B) 23
(C) 1
(D) 3
(E) 5


\(|-1 - 2| - |5 - 6| - |-3 + 4| = 3 - 1 - 1 = 1 \)

IMO C
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|-1 - 2| - |5 - 6| - |-3 + 4| = ? [#permalink] New post   21 May 2022, 11:38
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Theory: Modulus/Absolute Value of a number is the non-negative value of the number

|-1 - 2| - |5 - 6| - |-3 + 4| = |-3| - |-1| - |1|
Now, |-3| = 3 (as modulus gives the non-negative value of the number)
Similarly, |-1| = 1

=> |-3| - |-1| - |1| = 3 - 1 - 1 = 3-2 = 1

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Absolute Values

GMAT Club Bot
gmatclubot
|-1 - 2| - |5 - 6| - |-3 + 4| = ? [#permalink]
21 May 2022, 11:38
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