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Continuity & Differentiability · Question 62 of 125

What does this courier charge for a parcel of 2.5 kg?

Question 62

EasyOriginal question

A courier charges C(w)=40+20[w]C(w) = 40 + 20[w] rupees for a parcel of weight ww kg, where 0<w<50 < w < 5 and [w][w] is the greatest integer not more than ww.

What does this courier charge for a parcel of 2.5 kg?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. [2.5]=2[2.5] = 2: only whole kilograms count.

  2. C(2.5)=40+20×2=80C(2.5) = 40 + 20 \times 2 = 80.

Worth noting

₹90 uses 20×2.520 \times 2.5, ignoring the greatest integer.

Concept
Evaluating a greatest integer function
Typical time
90 s
Your time
—
The rule this testsContinuous functions
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