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Greatest Integer Function

If [ x ] is...

Question

If $[x]$ is the greatest integer less than or equal to $x$ , what is the value of $[- 1.6] + [3.4] + [2.7]$ ?

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Solution

The correct option is A $3$
$[x]$ is the greatest integer function.
$[- 1.6] = - 2$ for $- 2 ⩽ x < - 1$
$[3.6] = 3$ for $3 ⩽ x < 4$
$[2.7] = 2$ for $2 ⩽ x < 3$
$[- 1.6] + [3.6] + [2.7] = - 2 + 3 + 2 = 3$
So, option A is the answer.

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