Vidyalelo
Aptitude · Q61

Chain Rule

Competitive Exams · Aptitude · question 61

Q61

Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships, 3 medium ships carry the same amount of water as 2 large ships and 1 small ship. 15 large, 7 medium and 14 small ships, each made 36 journeys and brought a certain quantity of water. In how many journeys would 12 large, 14 medium and 21 small ships bring the same quantity ?

A.
25
B.
29
Answer
C.
32
D.
49

Answer: Option B

Solution

Answer: Option B
Solution:
Let, L = large ships, M = medium ships, S = small ships
Now from the question,
4L ≡ 7S

Let the required number of journeys be x
More ships, Less journeys (Indirect proportion)


Alternate:
Now from the question,

Thus, ratio of large, medium and small = 7 : 6 : 4
So, numbers of journeys: