Quantitative Aptitude · Mathematics

Mensuration and Costing

74 Questions

Mensuration and costing questions combine geometric calculations with practical expenses like painting, fencing, and carpeting. They are highly relevant for quantitative aptitude tests in SSC and state exams. Solving these requires accuracy in applying area and volume formulas.

painting and plastering costfencing and levelingsurface area calculationvolume of solids

Mensuration and Costing Questions

Multiple choice
  1. Rs. 265.14

  2. Rs. 265

  3. Rs. 264.64

  4. Rs. 264.14

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Surface area of 1 face = 9 sq.m Surface area of 4 faces = 36 sq.m Therefore, cost of painting it red = Rs. (36 X 4.24) = Rs. 152.64 Also, total surface area of 2 faces = 18 sq.m Therefore, cost of painting 2 faces with blue colour = Rs. (18 X 6.25) = Rs. 112.5 Therefore, total cost = Rs. 265.14

Multiple choice
  1. Rs. 499440

  2. Rs. 582400

  3. Rs. 582608

  4. Rs. 582680

  5. Rs. 249720

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Based on the instructions, we get: Total cost of renovation for the service desk and the pantry = Area of pantry + service desk x cost of marble flooring at Rs. 280 per sq. m = 38 m x 36 m + 31 m x 23 m x Rs. 280 = 1368 sq. m + 713 sq. m x Rs. 280 = 2081 sq. m x Rs. 280 = Rs. 582680

Multiple choice
  1. Rs. 698880

  2. Rs. 650520

  3. Rs. 647040

  4. Rs. 647400

  5. Rs. 643200

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total cost of renovation for reception area for the customer and the display area = flooring cost of reception + display area = 33 m x 39 m x cost of granite flooring at Rs. 240 per sq. m + 39 m x 31 m x cost of marble flooring at Rs. 280 per sq. m = 1287 sq. m x Rs. 240 + 1209 sq. m x Rs. 280 = Rs. 308880 + Rs. 338520 = Rs. 647400

Multiple choice
  1. 25.25%

  2. 13.36%

  3. 1.33%

  4. 13.66%

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The premises of showroom which are to be renovated are: Reception area, General Manager's room, pantry, service desk and display area. So, total area of the above rooms = Area of (reception + General Manager's room + pantry + service desk + display area) = 1287 sq. m + 621 sq. m + 1368 sq. m + 713 sq. m + 1209 sq. m = 5198 sq. m. But the total area of the car showroom is 6000 sq. m. So, area which is not to be renovated = Total area of the car showroom - total area of the rooms to be renovated = 6000 sq. m - 5198 sq. m = 802 sq. m. Therefore, the percentage area of the showroom not to be renovated = 802 sq. m/6000 sq. m x 100 = 13.36%

Multiple choice
  1. Rs. 573450

  2. Rs. 572450

  3. Rs. 443040

  4. Rs. 426450

  5. Rs. 573400

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

As per the instructions: Total renovation cost for General Manager’s room = Cost of painting of the four walls and ceiling + Cost of granite flooring

= 23 m x 14 m x 2 (two walls of the same size) + 27 m x 14 m x 2 (two walls of the same size) + 23 m x 27 m x cost of painting at Rs. 210 per sq. m + 23 m x 27 m x cost of granite at Rs. 240 per sq. m = 644 sq. m + 756 sq. m + 621 sq. m x Rs. 210 + 621 sq. m x Rs. 240 = 2021 sq. m x Rs. 210 + 621 sq. m x Rs. 240 = Rs. 424410 + Rs. 149040 = Rs. 573450

Multiple choice
  1. Rs. 487390

  2. Rs. 693670

  3. Rs. 639670

  4. Rs. 636970

  5. Rs. 639660

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost of renovation of the service desk room = [cost of wall paper on four walls] + [cost of ceiling painting] + [cost of flooring] = [31 m x 12 m x 2(two walls of the same size) + 23 m x 12 m x 2(two walls of the same size) x cost of wall paper at Rs. 235 per sq. m] + [31 m x 23 m x cost of ceiling painting at Rs.190 per sq. m] + [31 m x 23 m x cost of marble flooring at Rs. 280 per sq. m] = [1296 sq. m x Rs. 235] + [713 sq. m x Rs. 190] + [713 sq. m x Rs. 280] = Rs. 304560 + Rs. 135470 + Rs. 199640 = Rs. 639670 

Multiple choice
  1. 11515 : 5724

  2. 5724 : 11515

  3. 921200 : 457920

  4. 1455440 : 457290

  5. 50724 : 11551

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rooms to be floored with marble are: Display area, Service desk and Pantry

Thus, the total cost of marble flooring = Total area of display area + Service desk + Pantry x cost of Marble at Rs. 280 per sq. m = 39 m x 31 m + 31 m x 23 m + 38 m x 36 m x Rs. 280 = 1209 sq. m + 713 sq. m + 1368 sq. m x Rs. 280 = 3290 sq. m x Rs. 280 = Rs. 921200. Rooms to be floored with granite are: General Manager's room and Reception

Thus, the total cost of granite flooring = Total area of General Manager's room + Reception x cost of Granite at Rs. 240 per sq. m = 23 m x 27 m + 33 m x 39 m x Rs. 240 = 1908 sq. m x Rs. 240 = Rs. 457920 Therefore, the ratio will be 921200 : 457920 = 11515 : 5724

Multiple choice
  1. Rs. 840000

  2. Rs. 1266840

  3. Rs. 727720

  4. Rs. 112208

  5. Rs. 112280

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Remaining area of the showroom = Total area of the showroom - Total area to be renovated = 6000 sq. m - total areas of [Display room + Service Desk + Pantry + General Manager's room + Reception]. = 6000 sq. m - [39m x 31m + 31m x 23m + 38m x 36m + 23m x 27m + 33m x 39m] = 6000 sq. m - 5198 sq. m = 802 sq. m The cost of carpeting the remaining area = Remaining area of the showroom x Cost of carpet at Rs. 140 per sq. m = 802 sq. m x Rs. 140 = Rs. 112280 Therefore, the increment in the total cost of renovation will be Rs. 112280.

Multiple choice
  1. Rs. 97440

  2. Rs. 94740

  3. Rs. 89040

  4. Rs. 841970

  5. Rs. 98160

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rooms to be painted with Plastic Paint's are Kitchen and the two bathrooms. Hence, total cost of plastic paint = Paint cost of Kitchen + Paint cost of two bathrooms = Rs.60480 + Rs.100800 = Rs.161280.Rooms to be painted with rich textured emulsion paint's are Master Bedroom, Guest room, Children room, Drawing room and living room. Hence, total cost of rich textured emulsion paint = Paint cost of Master bedroom + Paint cost of Guest room + Paint cost of children room + Paint cost of Drawing room+ Paint cost of living room. = Rs.211680 + Rs.188160 + Rs.164640 + Rs.235200 + Rs.203840 = Rs.1003520.So, the total painting cost of the house = Rs.161280 + Rs.1003520 = Rs.1164800.However, if the entire house it to be painted with rich emulsion paint only then Kitchen and the two bathrooms should also be painted with it, we get; Paint area of Kitchen x Cost of rich textured emulsion at Rs.280 per Sq. m. = 504 Sq.m. x 280 = Rs.141120.and Paint area of two bathrooms x Cost of rich textured emulsion at Rs.280 per Sq. m. = 420 Sq.m. x 280 = Rs.117600.Now the total painting cost of the house = Rs.1003520 + Rs.258720 = Rs.1262240. So, the difference = Rs.1262240 - Rs.1164800 = Rs.97440.

Multiple choice
  1. 862 sq. m

  2. 1010 sq. m

  3. 785 sq. m

  4. 826 sq. m

  5. 853 sq. m

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Rooms measuring more than 100 Sq.m. are Master Bedroom, Guest room, Children room, Drawing room and living room. Thus, total areas of these rooms = Area of Master Bedroom + Guest room + Children room + Drawing room + living room. = 180 Sq.m. + 144 Sq.m. + 108 Sq.m. + 225 Sq.m. + 169 Sq.m. = 826 Sq.m.

Multiple choice
  1. Rs. 547860

  2. Rs. 547680

  3. Rs. 497280

  4. Rs. 265440

  5. Rs. 493920

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Bathrooms are attached to master bedroom and drawing room. Total cost of painting = Paint area of a bathroom + Paint area of master bedroom + Paint area of another bathroom + Paint area of drawing room. Paint area of Bathroom = 8 m x 14 m (Height of the room) x 2 (Two walls of the same size) + 7 m x 14 m (Height of the room) x 2 (Two walls of the same size) = 224 sq. m + 196 sq. m = 420 sq. m x Cost of plastic paint at Rs. 120 per sq. m  = Rs. 50400

Painting area of master bedroom = 15 m x 14 m (Height of the room) x 2 (Two walls of the same size) + 12 m x 14 m (Height of the room) x 2 (Two walls of the same size) = 420 sq. m + 336 sq. m = 756 sq. m x Cost of rich textured emulsion at Rs. 280 per sq. m  = Rs. 211680

Painting area of Drawing Bedroom = 15m x 14m(Height of the room) x 4 (Four walls of same size). = 840 sq. m x Cost of rich textured emulsion at Rs. 280 per sq. m  = Rs. 235200. So, total cost = Rs. 50400 x 2 (as two bathroomsare there) + Paint cost of master bedroom + Paint cost of drawing room = Rs. 100800 + Rs. 211680 + Rs. 235200 = Rs. 547680

Multiple choice
  1. 22.27%

  2. 18.21%

  3. 548.91%

  4. 14.65%

  5. 20.48%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total flooring area of Vitrified tiles = Flooring area of Kitchen + flooring area of two Bathrooms. = 72 Sq.m. + 112 Sq.m. = 184m Sq.m.Total flooring area of the house = Flooring area of Master bedroom + Guest room + Children room + Kitchen + Drawing room + Living room + two bathrooms = 180 Sq.m. + 144 Sq.m. + 108 Sq.m. + 72 Sq.m. + 225 Sq.m. + 169 Sq.m. + 112 Sq.m. = 1010 Sq.m.Therefore, Flooring area of vitrified tiles / total flooring area x 100 = 184 / 1010 x 100 = 18.21%

Multiple choice
  1. Rs. 19200

  2. Rs. 27610

  3. Rs. 27600

  4. Rs. 10800

  5. Rs. 55200

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Rooms which have area less than 100 sq. m are: Kitchen and the two bathrooms

Cost of flooring the kitchen and the two bathrooms = 12 m x 6 m + [8 m x 7 m x 2 (as there are two bathrooms)] x cost of vitrified tiles at Rs. 150 per sq. m = 72 sq. m + 112 sq. m x Rs. 150 = 184 sq. m x Rs. 150 = Rs. 27600

Multiple choice
  1. Rs. 161280

  2. Rs. 80640

  3. Rs. 110880

  4. Rs. 162180

  5. Rs. 564480

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

As per the instructions, only those areas which measure less than 100 sq. m are to be painted with plastic paint. Hence, the rooms which measure less than 100 sq. m are kitchen and the two bathrooms. Paint cost of kitchen = 12 m x 14 m (Height of the room) x 2 (Two walls of the same size) + 6 m x 14 m (Height of the room) x 2 (Two walls of the same size) = 336 sq. m + 168 sq. m = 504 sq. m x Cost of plastic paint at Rs. 120 per sq. m  = Rs. 60480 Paint area of bathroom = 8 m x 14 m (Height of the room) x 2 (Two walls of the same size) + 7 m x 14 m (Height of the room) x 2 (Two walls of the same size). = 224 sq. m + 196 sq. m = 756 sq. m x Cost of plastic paint at Rs. 120 per sq. m  = Rs. 50400 x 2 (as two bathrooms ae there) = Rs. 100800. Hence, total cost of plastic paint = Paint cost of kitchen + Paint cost of two bathrooms = Rs. 60480 + Rs. 100800 = Rs. 161280