geometry aptitude questions with answers - Wikitechy https://www.wikitechy.com/interview-questions/tag/geometry-aptitude-questions-with-answers/ Interview Questions Tue, 07 Sep 2021 05:31:50 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png geometry aptitude questions with answers - Wikitechy https://www.wikitechy.com/interview-questions/tag/geometry-aptitude-questions-with-answers/ 32 32 Which of the following graph indicates the graph of {(sin t, cos t):- π/2 ≤ t ≤ 0} in xy-plane ? https://www.wikitechy.com/interview-questions/geometry/which-of-the-following-graph-indicates-the-graph-of-sin-t-cos-t-%cf%80-2-%e2%89%a4-t-%e2%89%a4-0-in-xy-plane/ https://www.wikitechy.com/interview-questions/geometry/which-of-the-following-graph-indicates-the-graph-of-sin-t-cos-t-%cf%80-2-%e2%89%a4-t-%e2%89%a4-0-in-xy-plane/#respond Tue, 17 Aug 2021 16:13:15 +0000 https://www.wikitechy.com/interview-questions/?p=1818

Which of the following graph indicates the graph of {(sin t, cos t):- π/2 ≤ t ≤ 0} in xy-plane ?

Plane Geometry

A. d

B. c

C. b

D. a

Answer : C. b

Explanation:

    • When t = -90 then (sin t, cos t) = (-1,0)
    • When t=0 then (sin t, cos t) = (0,1)
    Plot above two points in x-y plane.
]]> https://www.wikitechy.com/interview-questions/geometry/which-of-the-following-graph-indicates-the-graph-of-sin-t-cos-t-%cf%80-2-%e2%89%a4-t-%e2%89%a4-0-in-xy-plane/feed/ 0 What is the radius of the circular plate of thickness 1 cm made by melting a sphere of radius 3 cm ? https://www.wikitechy.com/interview-questions/geometry/what-is-the-radius-of-the-circular-plate-of-thickness-1-cm-made-by-melting-a-sphere-of-radius-3-cm/ https://www.wikitechy.com/interview-questions/geometry/what-is-the-radius-of-the-circular-plate-of-thickness-1-cm-made-by-melting-a-sphere-of-radius-3-cm/#respond Tue, 17 Aug 2021 16:11:06 +0000 https://www.wikitechy.com/interview-questions/?p=1817

What is the radius of the circular plate of thickness 1 cm made by melting a sphere of radius 3 cm ?

A. 6 cm

B. 5 cm

C. 4 cm

D. 7 cm

Answer : A. 6 cm

Explanation :

Given that radius of sphere r = 3 cm
Given that thickness of the plate h = 1 cm

Given that a sphere is melt to produce a circular plate.
Since nothing is added or subtraced then volume of sphere and circular plate both will be equal.
Volume of sphere 
Volume of circular plate 
set both volumes equal to each other



36 = r2
6 = r
Hence the radius is 6 cm.

]]> https://www.wikitechy.com/interview-questions/geometry/what-is-the-radius-of-the-circular-plate-of-thickness-1-cm-made-by-melting-a-sphere-of-radius-3-cm/feed/ 0 In triangle PQR, PQ = 6 cm, PR = 8 cm, and QR = 12 cm. Calculate the area of the triangle PQR ? https://www.wikitechy.com/interview-questions/geometry/in-triangle-pqr-pq-6-cm-pr-8-cm-and-qr-12-cm-calculate-the-area-of-the-triangle-pqr/ https://www.wikitechy.com/interview-questions/geometry/in-triangle-pqr-pq-6-cm-pr-8-cm-and-qr-12-cm-calculate-the-area-of-the-triangle-pqr/#respond Tue, 17 Aug 2021 16:07:57 +0000 https://www.wikitechy.com/interview-questions/?p=1814

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

A. 23.33 cm2

B. 17.5 cm2

C. 21.33 cm2

D. 28.67 cm2

Answer : C. 21.33 cm2

Explanation:

    • In triangle PQR, by using heron’s formula
    • S = P + Q + R / 2
    • S = 6 + 8 + 12 / 2
    • = 26 / 2 = 13
    • S = 13
    • Area of the triangle PQR = sqrt ( S (S – P) * (S – Q) * (S – R) )
    • = sqrt ( 13 (13 – 6) * (13 – 8) * (13 – 12) )
    • = sqrt ( 455 )
    • Area of the triangle PQR =

21.33 cm2

]]> https://www.wikitechy.com/interview-questions/geometry/in-triangle-pqr-pq-6-cm-pr-8-cm-and-qr-12-cm-calculate-the-area-of-the-triangle-pqr/feed/ 0 An oblong piece of ground measures 19m 2.5dm by 12m 5dm.From center of each side of the ground, a path 2m wide goesacross to the center of the opposite side.What is the area of the path ? https://www.wikitechy.com/interview-questions/geometry/an-oblong-piece-of-ground-measures-19m-2-5dm-by-12m-5dm-from-center-of-each-side-of-the-ground-a-path-2m-wide-goesacross-to-the-center-of-the-opposite-side-what-is-the-area-of-the-path/ https://www.wikitechy.com/interview-questions/geometry/an-oblong-piece-of-ground-measures-19m-2-5dm-by-12m-5dm-from-center-of-each-side-of-the-ground-a-path-2m-wide-goesacross-to-the-center-of-the-opposite-side-what-is-the-area-of-the-path/#respond Tue, 17 Aug 2021 15:43:50 +0000 https://www.wikitechy.com/interview-questions/?p=1810

An oblong piece of ground measures 19m 2.5dm by 12m 5dm.From center of each side of the ground, a path 2m wide goesacross to the center of the opposite side.What is the area of the path ?

A. 59.5 m2

B. 54 m2

C. 78.54 m2

D. 34 m2

Answer : C. 78.54 m2

Explanation:

Area of path horizontal = 20 * 192.5
= 3850 dm2
Area of path vertical = 20 * 125
= 2500 dm2
Since center path is covered twice so total area,
= (3850 + 2500) – (20 * 20)
= 5950 dm2
Total cost = 1.32 * 59.5 m2
= 78.54 m2

]]> https://www.wikitechy.com/interview-questions/geometry/an-oblong-piece-of-ground-measures-19m-2-5dm-by-12m-5dm-from-center-of-each-side-of-the-ground-a-path-2m-wide-goesacross-to-the-center-of-the-opposite-side-what-is-the-area-of-the-path/feed/ 0 A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside. Find the area of the path ? https://www.wikitechy.com/interview-questions/geometry/a-rectangular-grassy-plot-is-112-m-by-78-m-it-has-a-gravel-path-2-5-m-m-wide-all-around-it-on-the-inside-find-the-area-of-the-path/ https://www.wikitechy.com/interview-questions/geometry/a-rectangular-grassy-plot-is-112-m-by-78-m-it-has-a-gravel-path-2-5-m-m-wide-all-around-it-on-the-inside-find-the-area-of-the-path/#respond Tue, 17 Aug 2021 15:39:25 +0000 https://www.wikitechy.com/interview-questions/?p=1808

A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside.Find the area of the path ?

A. 952 m²

B. 925 m²

C. 912 m²

D. 950 m²

Answer : B. 925 m²

Explanation:

Outer length of the grassy plot = 112 m
Outer breadth of the plot = 78 m

Outer area of the plot = 112 x 78
= 8736 sq m
Width of the path = 2.5 m

Inner length of the plot = 112 – (2 x 2.5)
= 107 m
Inner breadth of the plot = 78 – (2 x 2.5)
= 73 m

Inner area of the plot = 107 x 73
= 7811 sq m

Area of the path = Outer area of the plot – inner area of the plot
= 8736 – 7811
= 925 m²

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