Question

Krishna can just ring a bell which is at a height of 150 cm from the ground. His mother tied a vessel 10 cm long filled with butter to the ceiling such that the base of the vessel is at a height of 200cm from the ground. Krishna sees some bricks of height 5 cm each. He starts piling the bricks one on top of the other, to reach the mouth of the vessel. How many bricks should he collect?
A.6
B.10
C.14
D.12

Answer 1

Hint: Here the given question is a word problem, we have to find the number of bricks Krishna should collect and piling to reach the mouth of the vessel. Here first we need to find the height of the mouth of vessel from the ground level by adding a given height of base of the vessel from the ground and height of vessel and further difference the height of Krishna from heigh of mouth of the vessel to get the height which need more to reach the mouth of vessel then divide that resultant height with height of bricks to get the required solution.

Complete step-by-step answer:
Consider a given question:
The height of Krishna from the ground level \[ = 150cm\]
The height of base of the vessel from the ground level \[ = 200cm\]
The height of mouth of the vessel from its base \[ = 10cm\]
Height of single brick \[ = 5cm\]
We have to find the number of bricks should Krishna collect to reach the mouth of the vessel?
The total height to be Krishna reached means the height of mouth of the vessel from the ground level is:
\[ \Rightarrow 200 + 10\]
\[\therefore 210cm\]
The total height Krishna reached is 210 cm.
The difference height between the mouth of vessel and Krishna’s height from the ground level is
\[ \Rightarrow 210 - 150\]
\[\therefore 60cm\]
The height need’s more to reach the mouth of the vessel using brick is 60 cm.
The number of bricks of 5cm required:
\[ \Rightarrow \dfrac{{60}}{5}\]
\[\therefore 12\] bricks.
Hence, 12 bricks need Krishna to reach the mouth of the vessel from the ground level.
Therefore, option (D) is correct.
So, the correct answer is “Option D”.

Note: In a word problem, read carefully each sentence. It has information about the given problem that is how we are going to solve it and note down the data’s step by step of each sentence. The selection of mathematical methods will be dependent on each sentence so we have to choose an appropriate method while solving.