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 general knowledge math & puzzles

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

  1. 40

  2. 50

  3. 120

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total perimeter = 5300 / 26.50 = 200m. Let breadth be x, length be x+20. 2(x + x + 20) = 200 => 4x + 40 = 200 => 4x = 160 => x = 40. Length = 40 + 20 = 60m. Since 60 is not listed, 'None of these' is correct.

Multiple choice general knowledge math & puzzles

A piece of cloth cost Rs 35. if the length of the piece would have been 4m longer and each meter cost Re 1 less , the cost would have remained unchanged. how long is the piece ?

  1. 10

  2. 11

  3. 12

  4. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let length = x meters and cost per meter = Rs. y. Given xy = 35 and (x + 4)(y - 1) = 35. Expanding: xy - x + 4y - 4 = 35. Substituting xy = 35: 35 - x + 4y - 4 = 35, so 4y - x = 4. Since y = 35/x, we get 4(35/x) - x = 4, which gives x² + 4x - 140 = 0, so (x + 14)(x - 10) = 0. Therefore x = 10 meters.

Multiple choice

What is the total cost of painting if the faces containing only length and breadth are to be painted with yellow colour?

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 800

  2. Rs. 80

  3. Rs. 1600

  4. Rs. 960

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area to be painted = 2 (lb) = (2 x 10 x 8) sq. cm = 160 sq. cm Cost of painting = Rs. (10 x 160) = Rs. 1600

Multiple choice

What is the total cost of painting if only the faces containing length and height are to be painted with red colour?

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 100

  2. Rs. 200

  3. Rs. 160

  4. Rs. 240

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total area to be painted = 2 (lh) = (2 x 10 x 2) sq. cm = 40 sq cm Cost of painting = Rs. (5 x 40) = Rs. 200

Multiple choice

The cost of painting the cuboid with green colour is

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 2320

  2. Rs. 1160

  3. Rs. 1392

  4. Rs. 580

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total surface area of the cuboid = 2 (lb + bh + hl) = 2 (10 x 8 + 8 x 2 + 2 x 10) sq. cm = 2 (80 + 16 + 20) sq. cm = 2 (116) = 232 sq. cm Cost of painting = Rs. (6 x 232) = Rs. 1392

Multiple choice

What is the cost of painting the cuboid with Red colour?

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 1392

  2. Rs. 1160

  3. Rs. 2320

  4. Rs. 580

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total surface area of the cuboid = 2 (lb + bh + hl) = 2 (10 x 8 + 8 x 2 + 2 x 10) sq. cm = 2 (80 + 16 + 20) sq. cm = 2 (116) = 232 sq. cm Cost of painting = Rs. (5 x 232) = Rs. 1160

Multiple choice

What is the total cost of painting if 4 such cuboids are to be painted? Two cuboids with red colour and other two cuboids with green and yellow, respectively.

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 6032

  2. Rs. 6496

  3. Rs. 6022

  4. Rs. 3016

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total surface area of 1 cuboid = 2 (lb + bh + hl) = 2 (10 x 8 + 8 x 2 + 2 x 10) sq. cm = 2 (80 + 16 + 20) sq. cm = 2 (116) = 232 sq. cm Total surface area of 2 such cuboids which is to be painted red = 2 x 232 sq cm = 464 sq. cm and the cost of painting will be Rs. (464 x 5) = Rs. 2320 Also, cost of painting 1 cuboid with green colour = Rs. (232 x 6) = Rs. 1392. Again, cost of painting 1 cuboid with yellow colour = Rs. (232 x 10) = Rs. 2320 Therefore, total cost of painting = Rs. (2320 + 1392 + 2320) = Rs. 6032

Multiple choice

If repair cost of a building is Rs. 15,000, whitewash expenses are Rs. 10,000, cost of extension of building is Rs. 5,00,000 and cost of improvement in electrical wiring system is Rs. 25,000. The amount to be expensed is

  1. Rs. 50,000

  2. Rs. 5,50,000

  3. Rs.25,000

  4. nil
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Repair costs (Rs. 15,000) and whitewash expenses (Rs. 10,000) are revenue expenditures that benefit the current period and must be expensed immediately. The building extension (Rs. 5,00,000) and electrical wiring improvement (Rs. 25,000) are capital expenditures that enhance the asset's value and must be capitalized. Total expense = Rs. 15,000 + Rs. 10,000 = Rs. 25,000. Options A and B incorrectly include capital expenditures.

Multiple choice

A hall 25 m long and 20 m broad is surrounded by a veranda of uniform width of 5 m. The cost of flooring the veranda at the rate of Rs. 9.50 per sq. metre is

  1. Rs. 2375

  2. Rs. 2325

  3. Rs. 2350

  4. Rs. 2500

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

 Area of hall = 25*20 = 500 sq. metres Length of hall with veranda = 25 + 5 = 30 m Breadth of hall with veranda = 20 + 5 = 25 m Area of hall with veranda = 30*25 = 750 sq. metres Then, area of veranda = 750 - 500 = 250 sq. metres Cost of flooring = 250*9.50 = Rs. 2375

Multiple choice

The cost of fencing a rectangular park of length 175 m is Rs. 7200. If the rate of fencing is Rs. 12 per metre, then find the breadth of the park.

  1. 250 m

  2. 150 m

  3. 75 m

  4. 125 m

  5. -
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This is the correct answer. The total cost of fencing is Rs. 7200. The rate of fencing is Rs. 12/m.

Perimeter x rate of fencing = total cost Perimeter = total cost/rate = 7200/12 = 600 m Length = 175  Breadth = ? Perimeter = 600 P = 2(L + B) 600 = 2(175 + b) = 350 + 2b 600 - 350 = 2b 250 = 2b b = 250/2 = 125 m