Basic Mathematics MCQs » Calculation
The size of a single tile is 2x2 feet. How many tiles are required to fill a 17x12 floor?

A. 47
B. 51
C. 59
D. 63

Explanation: Area of tile = 2 × 2 = 4 sq ft
Area of floor = 17 × 12 = 204 sq ft
Required tiles = 204 / 4 = 51 tiles

If x:y = 7:3, then the value of \( \frac{xy + x^2}{x^2 - y^2} \) is:

A. 1/2
B. 2/3
C. 3/4
D. 1/5

Explanation: Put x = 7 and y = 3
\( \frac{xy + x^2}{x^2 - y^2} = \frac{21 + 49}{49 - 9} = \frac{70}{40} = \frac{7}{4} \)

If one-third of one-fourth of a number is 15, then three-tenths of that number is:

A. 42
B. 54
C. 66
D. 98

Explanation: Let x be the required number. One-third of one-fourth of x = 15, so x = 180. Three-tenths of 180 = 54.