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Height and Distance Questions

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From height of 8 mts a ball fell down and each time it bounces half the distnace back. What will be the distance travelled


A24

B23

C19

DNone of these

Answer: Option A

Explanation:

8+4+4+2+2+1+1+0.5+0.5+ and etc .. = 24

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Find the area of a rhombus one side of which measures 20 cm and one diagonal


A32 cm.

B22 cm.

C52 cm.

DNone of these

Answer: Option A

Explanation:

Lets assume other diagonal = 2x cm,
Since halves of diagonals and one side of rhombus form a right angled triangle with side as hypotenuse, we have:
(20)^2 =(12)^2+x^2 or x=?(20)^2-(12)^2 =?256=16 cm.
So, other diagonal = 32 cm.

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Satish was looking at a new building Kohli Towers constructed having height of 200 m. The angle of elevation of the top of building from a point on ground is 30°. What is the distance of the point from the foot of the building?


A166 m

B254 m

C346 m

D273 m

Answer: Option C

Explanation:

Given towers Angle APB = 30°. And AB = 200 m
AB/AP = tan 30° = 1/√3
AP = (AB x √3) m
200√3 m = 200 x 1.73 = 346m

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Two vertical ladders length of 6 m and 11 m are kept vertically at a distance of 12 m. Find the top distance of both ladders?


A13

B8

C11

D15

Answer: Option A

Explanation:



So distance between the top points = AD = sqrt(12^2+5^2) = 13

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Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:


A12m.

B5m.

C13m.

D11m.

Answer: Option C

Explanation:

Distance between their tops = sqrt( 12^2+(11-6)^2)
= sqrt 169
= 13m

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If a ladder is 100 m long and distance between bottom of ladder and wall is 60 m. What is the maximum size of cube that can be placed between the ladder and wall.


A34.28

B24.28

C21.42

D28.56

Answer: Option A

Explanation:

8/6 = tan(y)
x/6*10 -x =tan(y)

8/6=x/60-x
x=34.28

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The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is


A1300

B1340

C1480

D1520

Answer: Option C

Explanation:

Here is no explanation for this answer

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