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Area Questions

Home > Quantitative Aptitude > Area > General Questions
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Difference between the perimeteres of two concentric circles is 66. Find the difference between radius.


A9

B10.5

C10

D9.5

Answer: Option B

Explanation:

2pi(r1-r2) = 66



=>  pi(r1-r2) = 33



=> r1-r2 = 33/3.14



=>r1-r2 = 10.50

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If the area of a square region having sides of length 6 cms is equal to the area of a rectangular region having width 2.5 cms, then the length of the rectangle, in cms, is?


A41

B14

C14.4

D13

Answer: Option C

Explanation:

area of square region = area of rectangular region
side*side=length*width
6*6=2.5*length
hence length=(6*6)/2.5
14.4 square cm

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The two sides of a triangle are 32 and 68. the area is 960 sq.cm. Find the third side of triangle.


A45

B55

C60

DNone of these

Answer: Option C

Explanation:

We see 68^2-32^2=(68+32)*(68-32)=100*36=60^2
now (1/2)*60*32=960(match with given options)
(i.e area of a right angled triangle whose sides are 32,60,68)
third side=60

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A rectangular block has the dimensions 5*6*7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm.if the level of the fluid in the cylinder rises by 4 cm, what portion of the block is immersed in the fluid.


A22/7*15/18

B22/7*24/35

C22/7*22/34

D22/7*12/15

Answer: Option B

Explanation:

Since level of water increased in cylinder by height 4.
This is because of the rectangular block .

Therefore , area of rectangular block immersed in water is = 22/7 * (6)^2 * 4

Thats why portion of block immersed in water is= (22/7 * 36* 4) / total vol of rectangle
= (22/7 *36*4)/ (7*5*6)
= 22/7 *24/35.

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In triangle PQR, PQ=6 cm,PR=8 cm and QR=12 cm. Calculate the area of the triangle PQR.


A23.33 cm^2

B17.5 cm^2

C21.33 cm^2

D28.67 cm^2

Answer: Option C

Explanation:

s=(a+b+c+)/2 [Formula]
Here a=6cm, b=8cm , c=12cm
Therefore s=(6+8+12)/2
=26/2
=13
Area of tringle=sqrt [ s (s-a) (s-b) (s-c) [Formula]
=sqrt [ 13* (13-6) *(13-8)* (13-12)
=sqrt [ 13*7*5*1]
=sqrt [455]
=21.33 cm^2

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From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is


A225_/3

B500/_/3

C275/_/3

D250/_/3

Answer: Option B

Explanation:

Here is no explanation for this answer

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Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is


A3_/2

B3

C4

D_/3

Answer: Option B

Explanation:

Here is no explanation for this answer

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If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is


A220

B120

C300

D200

Answer: Option D

Explanation:

Here is no explanation for this answer

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Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB,BC,and CA is 4(_/2-1) cm,then the area, in sq cm, of the triangle ABC is


A12

B19

C16

D18

Answer: Option C

Explanation:

Here is no explanation for this answer

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The shortest distance of the point (1/2,1) from the curve y = |x-1| + |x+1| is


A1

B0

C_/2

D_/3/2

Answer: Option A

Explanation:

Here is no explanation for this answer

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