614

714

814

914

C. 814

In this type of questions, first we need to calculate the area of tiles. With we can get by obtaining the length of largest tile.

Length of largest tile can be obtained from HCF of length and breadth.

So lets solve this,

Length of largest tile = HCF of (1517 cm and 902 cm)

= 41 cm

Required number of tiles =

$\frac{Areaoffloor}{Areaiftile}\phantom{\rule{0ex}{0ex}}=\left(\frac{1517\times 902}{41\times 41}\right)\phantom{\rule{0ex}{0ex}}=814$