Quantitative Aptitude Ques 1192

Question: A plot of land is $ 250m\times 200m. $ A trench was dug around it outside. The width is 3 m and depth 5 m. The earth dug out was spread out uniformly over it. Find the rise in level of the land.

Options:

A) 27.36 cm

B) 2.736 cm

C) 24.63 cm

D) 2.463 cm

Show Answer

Answer:

Correct Answer: A

Solution:

  • Outer length $ =250+6=256m $ Outer breadth $ =200+6=206m $ Area of trench $ =(256\times 206)-(250\times 200) $ $ =52736-50000=2736m^{2} $ Volume of the trench $ =2736\times 5=13680m^{3} $ Rise in level $ =\frac{13680}{250\times 200}=0.2736m=27.36cm $