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Area Calculation - Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Area Calculation. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - A room is 49/4 m long and 7 m wide. The greatest length of a square tile to fill the floor of the room with entire number of tiles ought to be.

Answer : B

Explanation

L=1225 cm and b= 700 cm
Maximum length of the square tile= H.C.F of (1225cm, 700cm) =175 cm

Q 2 - The length of a rectangle is expanded by 10% and its expansiveness is diminished by 10%. At that point, the range of the new rectangle is:

A - Neither expanded nor diminished

B - expanded by 1%

C - Diminished by 1%

D - diminished by 10%

Answer : C

Explanation

Let length be L unit and breadth be b unit.
Area = Lb sq.units
New length = (110/100*L) = 11L/10, new breadth = (90/100*b)= 9b/10
New area = (11L/10 *9b/10) Sq. units= (99/100 *Lb)
Area decreased = (Lb-99/100 Lb) sq.units = Lb/100 sq. units
Percent decreased = (Lb/100*1/lb*100) %= 1%

Q 3 - If the proportion of the ranges of two squares, one having twofold it's corner to corner then the other is:

Answer : D

Explanation

Let the length of the diagonals be 2x and x units.
Then, their areas are 1/2 *(2x)² and (1/2*x²)
Required ratio: (1/2*4x²): (1/2x²) = 4:1

Q 4 - A Verandah 40m long and 15 m wide is to be cleared with stones every measuring 6dm by 5dm. The quantity of stones required is:

Answer : B

Explanation

Area of the verandah= (40*15)m²= 600m²
Area of one stone= (6/10*5/10) m²= 3/10m²
No. of stones = (600*10/3) = 2000

Q 5 - The expense of setting up a four divider a room is Rs.480. Every one of the length, expansiveness and tallness of another room is twofold that of this room. The expense of setting up the dividers of new room is:

Answer : C

Explanation

Area of 4 walls of first room= [2(L+b)*h]
Area of 4 walls of another room = [2(2L+2b)*2h]
= 4*[2 (L+b)*h] = 4* original area
∴ required cost = (4*480) =1920 Rs.

Q 6 - The base of a right angled triangle is 5m and its hypotenuse is 13m.Its area will be:

Answer : C

Explanation

h= √(13)²-(5)²  = √169-25 = √144=  12 cm, b= 5m
∴ Area = (1/2*b*h) = (1/2*5*12) m² =30 m²

Q 7 - What is the proportion of the ranges of circles engraved and delineated in a square?

Answer : C

Explanation

Let, each side of the square be x. Then, its diagonal= √2x
Radius of in circle = x/2
Radius of circumcircle= √2x/2 = x/ √2
Required ratio = π(x/2)²: π(x/√2)² = πx²/4: πx²/2 = 2:4= 1:2

Q 8 - The range of a square is equivalent to the territory of a circle. What is the proportion between the side of the square and the span of the circle?

Answer : A

Explanation

Let the side of the square be a and radius of the circle be r.
       Then, a² =πr² ⇒a = √πr⇒ A/R=√π/1 ⇒a: r =√π:1

Q 9 - The territory of a rhombus is 36cm² and the length of one of its inclining is 6 cm. The length of second slanting is:

Answer : C

Explanation

1/2 *d₁* d₂ =36 ⇒1/2*6* d₂ =36 ⇒d₂= 12cm

Q 10 - What is the region of the shaded bit if every side of the square measures 21cm?

Answer : C

Explanation

Area of the shaded region= [(21)²-22/7* (21/2)²]
= (441- 693/2) cm² = (441- 346.5) cm²
= 94.5 cm²

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