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Area Questions

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Ramnath and Company was celebrating Silver Jubilee celebrations and the authorities wanted to present a Square cardboard momento fitted with decorative pins on all the four sides. They fitted 36 decorative pins with 1 cm distance between any two pins and with equal number of pins when counted on any side. Find the dimension of the cardboard.


A10 cm X 10 cm

B9 cm X 9 cm

C12 cm X 12 cm

DNone of these

Answer: Option A

Explanation:

To find the dimension, we have to find the number of pins on each of the sides of the square cardboard.
Similar to solutions of previous questions, there will be 4 corner pins. Corner pins when added with pins on edges should amount to 36 as given. Let the number of pins in between the corner pins on each of the edges be x.
Total Pins = 4 corner pins + 4 x number of pins on each of the edges in between corner pins
36 = 4 + 4x
32 = 4x or 8 = x
Therefore number of pins on any of the edge = 2 corner pins + 8 pins in between the corner pins = 10 pins.
Distance between each of the pins is 1 cm. Therefore the length of each of the sides = 9cm. Dimension of the square = 9 cm X 9 cm

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A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?


A280.5625

B333.0625

C333.0125

D400

Answer: Option A

Explanation:

add all sides 25+11+31 to get rope length rope length =67,rope is made in to as square
So side of square is 67/4=16.75 and so area is 16.75*16.75=280.5625

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One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?


A21,500

B30,000

C21,000

D20,000

Answer: Option C

Explanation:

Total area required is 20*30 = 600 cm^2.



35 bricks are needed for 1 cm^2  therefore for 600 cm^2 …… 35* 600 = 21000 required.

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Raj drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 minutes 30 seconds. If the ratio of the length to the breadth of the park is 5 : 7, what are its dimensions?


A1500m x 700m

B375m x 525m

C35m x 49m

D100m x 100m

Answer: Option B

Explanation:

Let the length be 5x then breadth will be 7x

Perimeter of rectangle is 2(l b) = 2(12x) = 24x

Speed in m/sec = 24*5/18 = 20/3m/sec.

Time Taken = 270sec

=> 24x = 20/3*270….. Hence x =75

So, length = 325m and breadth = 525m

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There is a pool of radius X and there is a pathway around the pool with a width of 4 feet. Find the radius of the pool if the path area/ pool area=11/25.


A12

B5

C25

D20

Answer: Option D

Explanation:

(PI.(X+4)^2-PI.X^2)/PI.X^2=11/25
(X+4)^2/X^2-1=11/25
(X+4)^2/X^2=36/25
(X+4)/X=6/5
X=20

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A sphere is cut into 4 identical pieces after it was painted. What is the ratio of the painted area to the unpainted area?


A1:1

B2:1

C1:2

D3:1

Answer: Option A

Explanation:

After cutting into four pieces we have each piece having two semicircular planes perpendicular to each other giving a (unpainted)surface area of pi*r^2..hence ratio is 1:1

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If the depth of a tree is 3 levels, then what is the size of the Tree?


A2

B4

C6

D8

Answer: Option D

Explanation:

formula is 2^n , where n is depth of the tree
2^3 = 8

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In a square , all the mid points are joined. the inner square is shaded. If the area of the square is A, what is the shaded area?


AA/2

B(A^2)

C(A^2)/2

DNone of these

Answer: Option A

Explanation:

Let A=a^2 means side of sqr=a
for inner sqr side=sqrt(a^2/4+a^2/4)=a/sqrt(2)
area of inner=a/sqrt(2)*a/sqrt(2)=a^2/2=A/2

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A thermal chimney of circular cross section has outer and inner radii of 3m and 2m respectively. Find the cost of cement finishing for the inner and outer surface at Rs20 per sq.meter, if the height of the chimney is 56m.


ARs 80000

BRs 45760

CRs 35200

DRs 7040

Answer: Option C

Explanation:

Here is no explanation for this answer

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A store owner is packing small radios into larger boxes that measure 25 in. by 42 in. by 60 in. If the measurement of each radio is 7 in. by 6 in. by 5 in., then how many radios can be placed in the box?


A300

B400

C420

D480

Answer: Option A

Explanation:

No of radios that can be placed in the box = (25*42*60)/(7*6*5)=300

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