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For every X, the action [X] is defined in the following matter: [X] is the greatest integer that is smaller or equal to X. For example: [8.9] = 8.
What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6 ?
  • a)
    15.8
  • b)
    16.2
  • c)
    16.4
  • d)
    14.4
  • e)
    12.6
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For every X, the action [X] is defined in the following matter: [X] is...
The best answer is A.
 [6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6 = 6 x 0 + 2 x 7.2 + 8 - 6.6 = 15.8.
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Most Upvoted Answer
For every X, the action [X] is defined in the following matter: [X] is...
Using the given definition, we can solve the expression step by step:

First, let's find [6.5]. The greatest integer that is smaller or equal to 6.5 is 6.
So, [6.5] = 6.

Next, let's find [2/3]. The greatest integer that is smaller or equal to 2/3 is 0.
So, [2/3] = 0.

Now, let's find [2]. The greatest integer that is smaller or equal to 2 is 2.
So, [2] = 2.

Finally, let's find [8.4]. The greatest integer that is smaller or equal to 8.4 is 8.
So, [8.4] = 8.

Now we can calculate the expression:

[6.5] x [2/3] x [2] x 7.2 x [8.4] = 6 x 0 x 2 x 7.2 x 8 = 0.

Therefore, the value of [6.5] x [2/3] x [2] x 7.2 x [8.4] is 0.
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