# 100+ Area Aptitude Questions and Answers Pdf - 1

Question: 1

A coaching institute wants to execute tiling work for one of its teaching halls 60 m long and 40 m wide with a square tile of 0.4 m side. If each tile costs Rs. 5, the total cost of tiles would be

(A) Rs. 65000

(B) Rs. 70000

(C) Rs. 75000

(D) Rs. 85000

Ans: C

Number of tiles required

= $${Area of hall} / {Area of each tile}$$

= $${60 × 40} / {0.4 × 0.4}$$ = 15000.

∴ Total cost of tiles = Rs. (15000 × 5) = Rs. 75000.

Question: 2

Out of a square of side 8 cm, a triangle is drawn with base as one side of the square and third vertex at any point on the opposite side of the square. What is the area of the remaining portion of the square if the triangle is taken out?

(A) 8 sq.cm

(B) 16 sq.cm

(C) 32 sq.cm

(D) 64 sq.cm

Ans: C

Base of the triangle = 8cm. Height of the triangle = 8 cm.

Area of the triangle = $$({1}/{2} × 8 × 8)$$ cm^{2} = 32 cm^{2.}

Area of the square = (8 × 8) cm^{2} = 64 cm^{2}.

∴ Required area = (64 – 32) cm^{2} = 32 cm^{2}.

Question: 3

The area of a square with perimeter 48 cm is

(A) 104 sq.cm

(B) 144 sq.cm

(C) 156 sq.cm

(D) 170 sq.cm

Ans: B

Side of the square = $$({48} / {4})$$cm = 12 cm.

Area of the square = (12 x 12) cm^{2} = 144 cm^{2}.

Question: 4

The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq. metre.

(A) Rs. 15,000

(B) Rs. 16,000

(C) Rs. 16,500

(D) Rs. 17,500

Ans: C

Area of the floor = (5.5 × 3.75)m^{2} = 20.625 m^{2}.

∴ Cost of paving = Rs. (800 × 20.625) = Rs. 16500.

Question: 5

What is the minimum number of identical square tiles required to tile a floor of length 6 m 24 cm and width 4 m 80 cm?

(A) 102

(B) 122

(C) 130

(D) 148

Ans: C

Length of largest tile = H.C.F. of 624 cm and 480 cm = 48 cm.

Area of each tile = (48 × 48) cm^{2}.

∴ Required number of tiles = $$({624 × 480} / {48 × 48})$$ = 130.

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