Xavier Aptitude Test 2016 Paper

Question : 50 of 103

Marks: +1, -0

SECTION - C QUANTITATIVE ABILITY AND DATA INTERPRETATION

Akhtar plans to cover a rectangular floor of dimensions 9.5 meters and 11.5 meters using tiles. Two types of square shaped tiles are available in the market. A tile with side 1 meter costs Rs. 100 and a tile with side 0.5 meters costs Rs. 30. The tiles can be cut if required. What will be the minimum cost of covering the entire floor with tiles?

10930
10900
11000
10950
10430

Validate

Solution:

(a) Area of rectangular floor = 9.5 m × 11.5 m

=(10.5-1) \×(10.5+1) \ {m}^{2}

=(10.5)^{2}-1 {m}^{2}

=109.25 {m}^{2}

.........(1)
Area of tile with side 1m = (1)

^{2}

^{2 }

= 1m

^{2}

Area of square tile with side. 5 m = (.5)

^{2}

^{2}

= .25 m

^{2}

Minimum cost of covering the entire floor
= (109 × 1 + .25 × 1) m

^{2}

= 109 × 100 + 3 × 1
= 10930 Rs.

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