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Greatest Integer Function

If y = 3[x] +...

Question

If y = 3[x] + 1 = 4[x - 1] - 10 where [ ] represents greatest integer function then [x + 2y] is

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107

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Solution

The correct option is C 107
$[x - 1] = [x] - 1$

$3 [x] + 1 = 4 [x] - 4 - 10$

$[x] = 15$

Hence $y = 3 [x] + 1 = 45 + 1 = 46$

$[x + 2 y] = [15 + 92] = 107$

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