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What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

A.

814

B.

802

C.

836

D.

900

Answer with explanation

Answer: Option AExplanation

Lenght of the room=15m 17cm=

15×100+17=1517

breadth=9m2cm=902 cm

the HCF of the 1517 and 902 will be size of saure tiles

HCF 1517 and 902 = 41cm

area of room= leanth×breadth=1517×902cm²

area of tiles=41×41cm²1

so num. of tiles required(1517×902)(41×41)

=814 tiles

Workspace

The length of a rectangular plot is 2020 metres more than its breadth. If the cost of fencing the plot @Rs.26.50 per metre is Rs.5300 , what is the length of the plot in metres?

A.

60 m

B.

100 m

C.

75 m

D.

50 m

Answer with explanation

Answer: Option AExplanation

Workspace

The length of a room is 5.55.5 m and width is 3.753.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800800 per sq. metre.

A.

Rs.12000

B.

Rs.19500

C.

Rs.18000

D.

Rs.16500

Answer with explanation

Answer: Option DExplanation

Area =5.5×3.75=5.5×3.75 sq. metre.

Cost for 11 sq. metre. = Rs.800800

Hence, total cost

=5.5×3.75×800=5.5×3000= Rs.16500

Workspace

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 99 feet, and the sum of the lengths of the painted sides is 3737 feet, find out the area of the parking space in square feet?

A.

126 sq. ft.

B.

64 sq. ft.

C.

100 sq. ft.

D.

102 sq. ft.

Answer with explanation

Answer: Option AExplanation

Workspace

A rectangular park 6060 m long and 4040 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 21092109 sq. m. what is the width of the road?

A.

5 m

B.

4 m

C.

2 m

D.

3 m

Answer with explanation

Answer: Option DExplanation

Please refer the diagram given above.

Workspace

On a field whose length is 25 meters and width is 12 meters a house was built the shape of a square whose side is 9 meters. What’s the area of the garden?

A.

259 m^{2}

B.

249 m^{2}

C.

229 m^{2}

D.

219 m^{2}

Answer with explanation

Answer: Option DExplanation

The field is a rectangle whose length is 25 meters and width is 12 meters. The area is L × W = 25 × 12 = 25 × 4 × 3 = 100 × 3 = 300 m^{2}

The field covered by the house is a square with the side of 9 meters. The area is 9 × 9 = 81 m^{2}

The garden’s area will be 300 – 81 = 219 m^{2}

Workspace

The length of a rectangle is 6 cm and the width is 4 cm. If the length is greater by 2 cm, what should the width be so that the new rectangle have the same area as the first one?

A.

6 cm

B.

4 cm

C.

2 cm

D.

3 cm

Answer with explanation

Answer: Option DExplanation

The area of the first rectangle is L × W = 6 × 4 = 24 cm^{2}

The new length is 6 + 2 = 8 cm

8 × W = 24 then W = 24 ÷ 8 = 3 cm

Workspace

A box whose every side is a rectangle has a length of 10 cm, a width of 6 cm and a height of 8 cm. What is the total area of the box?

A.

314 cm^{2}

B.

357 cm^{2}

C.

336 cm^{2}

D.

376 cm^{2}

Answer with explanation

Answer: Option DExplanation

The sides of the box are equal in pairs. Two of the sides have edges of 10 cm and 6 cm.

Their area is (10 × 6) × 2 = 60 × 2 = 120 cm^{2}

Two of the sides have edges of 10 cm and 8 cm.

Their area is (10 × 8) × 2 = 80 × 2 = 160 cm^{2}

Two of the sides have edges of 8 cm and 6 cm.

Their area is (8 × 6) × 2 = 48 × 2 = 96 cm^{2}

The total area is 120 + 160 + 96 = 376 cm^{2}

Workspace

A.

6 cm

B.

4 cm

C.

2 cm

D.

3 cm

Answer with explanation

Answer: Option DExplanation

The area of the first rectangle is L × W = 6 × 4 = 24 cm^{2}

The new length is 6 + 2 = 8 cm

8 × W = 24 then W = 24 ÷ 8 = 3 cm

Workspace

If the ratio of areas of two squares is 289:121, then the ratio of their perimeters is

A.

11:17

B.

17:11

C.

2:1

D.

18:11

Answer with explanation

Answer: Option BExplanation

Let the side of the squares for the first and second square be ‘a’ & ‘b’ respectively

a^{2}/b^{2} = 289/121 = 17^{2}/11^{2}

Therefore, a/b = 17/11

Ratio of perimeters = 4a/4b

= (4 * 17)/(4 * 11)

= 17 : 11

Workspace

If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is

A.

isosceles

B.

scalene

C.

equilateral

D.

right angled

Answer with explanation

Answer: Option CExplanation

Let first angle be x and other two equal angle be y.

Then from the question

x = (y + y)/2 = y

That mean x = y

So, x + x + x = 180^{0}

Or, 3x = 180^{0}

Or, x = 60^{0}

Hence, ∆ is equilateral triangle.

Workspace

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