Question

# What is the minimum number of identical square tiles required to completely cover a floor of dimensions 8m70cm by 6m38cm?

A
143
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B
165
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C
187
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D
209
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Solution

## The correct option is D 165We first need to calculate HCF of the dimensions of the floor. 8m70cm=870cm and 6m38cm=638cmFinding HCF of 870;638, we have Prime Factorisation of 870=2×3×5×29638=2×11×29We then choose each common prime number with the least power and multiply them to get the HCF.=>HCF=2×29=58So the dimensions of each square till be 58cmNow, least number of square tiles required =AreaofthefloorAreaofeachtile=870×63858×58=165

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