About this quiz
52 questions on area, perimeter, Pythagoras, volume, surface area, unit conversion and Nepali land units. Take π = 22/7.
This Lok Sewa practice set has 52 multiple-choice questions (Subject: Maths and IQ · For: Kharidar, Nayab Subba, Section Officer · Level: Medium). Take the quiz above first; after that, use the study list below to revise every question with its correct answer and a short explanation.
Study list: all 52 questions with answers and explanations
What is the area of a rectangle 12 m long and 8 m wide?
- A) 40 m²
- B) 96 m² ✔
- C) 20 m²
- D) 84 m²
Why: Area = length × breadth = 12 × 8 = 96 m².
What is the perimeter of a rectangle 12 m long and 8 m wide?
- A) 40 m ✔
- B) 96 m
- C) 20 m
- D) 48 m
Why: Perimeter = 2(12 + 8) = 40 m.
What is the area of a square with side 9 cm?
- A) 36 cm²
- B) 18 cm²
- C) 81 cm² ✔
- D) 72 cm²
Why: Area = side² = 9 × 9 = 81 cm².
A square has a perimeter of 48 cm. What is its area?
- A) 144 cm² ✔
- B) 192 cm²
- C) 96 cm²
- D) 48 cm²
Why: Side = 48 ÷ 4 = 12 cm, so area = 12² = 144 cm².
What is the area of a circle with radius 7 cm?
- A) 44 cm²
- B) 49 cm²
- C) 308 cm²
- D) 154 cm² ✔
Why: Area = 22/7 × 7 × 7 = 154 cm².
What is the circumference of a circle with radius 7 cm?
- A) 22 cm
- B) 44 cm ✔
- C) 154 cm
- D) 14 cm
Why: Circumference = 2 × 22/7 × 7 = 44 cm.
What is the area of a triangle with base 10 cm and height 6 cm?
- A) 60 cm²
- B) 16 cm²
- C) 30 cm² ✔
- D) 32 cm²
Why: Area = ½ × 10 × 6 = 30 cm².
The two shorter sides of a right-angled triangle are 6 cm and 8 cm. How long is the hypotenuse?
- A) 10 cm ✔
- B) 14 cm
- C) 12 cm
- D) 9 cm
Why: √(6² + 8²) = √100 = 10 cm.
What is the volume of a cube with side 5 cm?
- A) 25 cm³
- B) 150 cm³
- C) 75 cm³
- D) 125 cm³ ✔
Why: Volume = 5³ = 125 cm³.
What is the total surface area of a cube with side 5 cm?
- A) 125 cm²
- B) 150 cm² ✔
- C) 100 cm²
- D) 25 cm²
Why: Total surface area = 6 × 5² = 150 cm².
What is the volume of a box 6 cm × 4 cm × 3 cm?
- A) 72 cm³ ✔
- B) 13 cm³
- C) 108 cm³
- D) 54 cm³
Why: Volume = 6 × 4 × 3 = 72 cm³.
What is the volume of a cylinder with radius 7 cm and height 10 cm?
- A) 440 cm³
- B) 154 cm³
- C) 1540 cm³ ✔
- D) 770 cm³
Why: Volume = 22/7 × 7 × 7 × 10 = 1540 cm³.
If the side of a square is doubled, its area becomes:
- A) 2 times
- B) 3 times
- C) 8 times
- D) 4 times ✔
Why: Area depends on side squared: 2² = 4.
1 cubic metre is equal to:
- A) 100 litres
- B) 1000 litres ✔
- C) 10 litres
- D) 10,000 litres
Why: 1 m³ = 1000 litres.
What is the area of the four walls of a room 5 m long, 4 m wide and 3 m high?
- A) 60 m²
- B) 27 m²
- C) 54 m² ✔
- D) 45 m²
Why: Area of four walls = 2 × height × (length + breadth) = 2 × 3 × 9 = 54 m².
In the Nepali hill land system, 1 ropani is equal to:
- A) 16 aana ✔
- B) 20 aana
- C) 4 aana
- D) 12 aana
Why: 1 ropani = 16 aana.
In the Terai land system, 1 bigha is equal to:
- A) 16 kattha
- B) 10 kattha
- C) 20 kattha ✔
- D) 25 kattha
Why: 1 bigha = 20 kattha.
In the Terai land system, 1 kattha is equal to:
- A) 16 dhur
- B) 20 dhur ✔
- C) 4 dhur
- D) 10 dhur
Why: 1 kattha = 20 dhur.
Which formula gives the volume of a sphere of radius r?
- A) 4πr²
- B) πr²h
- C) ⅓ πr²h
- D) ⁴⁄₃ πr³ ✔
Why: The volume of a sphere is four-thirds π r cubed; 4πr² is its surface area.
The circumference of a circle is 88 cm. What is its radius?
- A) 14 cm ✔
- B) 7 cm
- C) 28 cm
- D) 21 cm
Why: 2 × 22/7 × r = 88, so r = 88 × 7 ÷ 44 = 14 cm.
Area of a rectangle 12 m long and 8 m wide is:
- A) 96 m² ✔
- B) 40 m²
- C) 192 m²
- D) 20 m²
Why: 12 × 8 = 96 m².
Perimeter of a rectangle 12 m by 8 m is:
- A) 96 m
- B) 40 m ✔
- C) 20 m
- D) 48 m
Why: 2(12 + 8) = 40 m.
Area of a rectangle 25 m long and 14 m wide is:
- A) 78 m²
- B) 700 m²
- C) 350 m² ✔
- D) 39 m²
Why: 25 × 14 = 350 m².
Perimeter of a rectangle 25 m by 14 m is:
- A) 350 m
- B) 39 m
- C) 100 m
- D) 78 m ✔
Why: 2(25 + 14) = 78 m.
Area of a rectangle 9 m long and 6 m wide is:
- A) 54 m² ✔
- B) 30 m²
- C) 108 m²
- D) 15 m²
Why: 9 × 6 = 54 m².
Perimeter of a rectangle 9 m by 6 m is:
- A) 54 m
- B) 30 m ✔
- C) 15 m
- D) 36 m
Why: 2(9 + 6) = 30 m.
Area of a square with side 7 cm is:
- A) 28 cm²
- B) 14 cm²
- C) 49 cm² ✔
- D) 98 cm²
Why: 7² = 49 cm².
Area of a square with side 15 cm is:
- A) 60 cm²
- B) 30 cm²
- C) 450 cm²
- D) 225 cm² ✔
Why: 15² = 225 cm².
A square field has area 144 m². Its perimeter is:
- A) 48 m ✔
- B) 12 m
- C) 36 m
- D) 24 m
Why: Side = √144 = 12; perimeter = 4 × 12 = 48 m.
Area of a circle of radius 7 cm (π = 22/7) is:
- A) 44 cm²
- B) 154 cm² ✔
- C) 22 cm²
- D) 308 cm²
Why: πr² = 22/7 × 7 × 7 = 154 cm².
Circumference of a circle of radius 7 cm (π = 22/7) is:
- A) 154 cm
- B) 22 cm
- C) 44 cm ✔
- D) 88 cm
Why: 2πr = 2 × 22/7 × 7 = 44 cm.
Area of a circle of radius 14 cm (π = 22/7) is:
- A) 88 cm²
- B) 44 cm²
- C) 1232 cm²
- D) 616 cm² ✔
Why: πr² = 22/7 × 14 × 14 = 616 cm².
Circumference of a circle of radius 14 cm (π = 22/7) is:
- A) 88 cm ✔
- B) 616 cm
- C) 44 cm
- D) 176 cm
Why: 2πr = 2 × 22/7 × 14 = 88 cm.
Area of a circle of radius 21 cm (π = 22/7) is:
- A) 132 cm²
- B) 1386 cm² ✔
- C) 66 cm²
- D) 2772 cm²
Why: πr² = 22/7 × 21 × 21 = 1386 cm².
Circumference of a circle of radius 21 cm (π = 22/7) is:
- A) 1386 cm
- B) 66 cm
- C) 132 cm ✔
- D) 264 cm
Why: 2πr = 2 × 22/7 × 21 = 132 cm.
Area of a triangle with base 10 m and height 6 m is:
- A) 60 m²
- B) 16 m²
- C) 20 m²
- D) 30 m² ✔
Why: ½ × 10 × 6 = 30 m².
Area of a triangle with base 16 m and height 9 m is:
- A) 72 m² ✔
- B) 144 m²
- C) 25 m²
- D) 48 m²
Why: ½ × 16 × 9 = 72 m².
Volume of a cube with edge 4 cm is:
- A) 16 cm³
- B) 64 cm³ ✔
- C) 96 cm³
- D) 12 cm³
Why: 4³ = 64 cm³.
Volume of a box 5 m × 4 m × 3 m is:
- A) 23 m³
- B) 94 m³
- C) 60 m³ ✔
- D) 12 m³
Why: 5 × 4 × 3 = 60 m³.
Volume of a box 10 m × 6 m × 2 m is:
- A) 62 m³
- B) 184 m³
- C) 18 m³
- D) 120 m³ ✔
Why: 10 × 6 × 2 = 120 m³.
Volume of a cylinder of radius 7 m and height 10 m (π = 22/7) is:
- A) 1540 m³ ✔
- B) 440 m³
- C) 220 m³
- D) 154 m³
Why: πr²h = 1540 m³.
Volume of a cylinder of radius 14 m and height 5 m (π = 22/7) is:
- A) 440 m³
- B) 3080 m³ ✔
- C) 220 m³
- D) 616 m³
Why: πr²h = 3080 m³.
1 ropani is equal to how many aana?
- A) 4
- B) 20
- C) 16 ✔
- D) 64
Why: 1 ropani = 16 aana.
1 aana is equal to how many paisa?
- A) 16
- B) 20
- C) 10
- D) 4 ✔
Why: 1 aana = 4 paisa.
1 bigha is equal to how many kattha?
- A) 20 ✔
- B) 16
- C) 4
- D) 10
Why: 1 bigha = 20 kattha.
1 kattha is equal to how many dhur?
- A) 16
- B) 20 ✔
- C) 4
- D) 25
Why: 1 kattha = 20 dhur.
1 ropani is about how many square feet?
- A) 3645
- B) 7290
- C) 5476 ✔
- D) 342.25
Why: 1 ropani = 74 ft × 74 ft = 5476 sq ft.
1 aana is about how many square feet?
- A) 5476
- B) 182.25
- C) 1000
- D) 342.25 ✔
Why: 5476 ÷ 16 = 342.25 sq ft.
1 kattha is about how many square feet?
- A) 3645 ✔
- B) 5476
- C) 72900
- D) 182.25
Why: 1 kattha = 3645 sq ft.
8 aana of land is what part of a ropani?
- A) Quarter
- B) Half ✔
- C) One-third
- D) Full
Why: 16 aana = 1 ropani, so 8 aana = ½ ropani.
1 hectare is equal to:
- A) 1,000 m²
- B) 100 m²
- C) 10,000 m² ✔
- D) 1,00,000 m²
Why: 1 hectare = 100 m × 100 m.
1 litre is equal to:
- A) 100 cm³
- B) 10 cm³
- C) 1 m³
- D) 1000 cm³ ✔
Why: 1 L = 1000 cubic centimetres.