IIFT 2019 Question Paper | Quants

CAT Questions

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2019 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 14: Consider a cuboidal underground tunnel of length 500 m whose cross-section is given in the figure. If 1 cubic meter of concrete costs 1000 rupees, find the amount of money needed to build the Tunnel.

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Video Explanation

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Explanatory Answer

We see that the semi-circular part is hollow out of the rectangle, and the concrete will fill the remaining portion along the length of the tunnel
So, the volume shaded region is (area of rectangle – area of semicircle) x length of the tunnel
(16 x 8 - $\frac{π 8^2}{2}$ ) x 500 m²


= (128 – 32π) x 500

We also know that 1cu meter of concrete costs Rs 1000,

So, the cost of the tunnel will be:
(128 – 32π) x 500 x 1000
= (64 – 16π) x 1000 x1000
=16 (4 - π) x 10⁶

Hence, the answer is 16 (4 - π) x 10⁶

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The question is "The amount of money needed to build the Tunnel"

Hence, the answer is, "16 (4 - π) x 10⁶"

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