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A vessel, full of water, weighs 27.5 kg. when the vessel is 1/4 full, it weighs 12.26 kg. Find the weight of empty vessel?
  • a)
    7.18 kg
  • b)
    6.54 kg
  • c)
    2.75 kg
  • d)
    2 5 kg
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A vessel, full of water, weighs 27.5 kg. when the vessel is 1/4 full, ...
Let ‘x’ be the weight g empty vessel and ‘y’ be the weight of full vessel. x + y = 27.5 ...(1)
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Most Upvoted Answer
A vessel, full of water, weighs 27.5 kg. when the vessel is 1/4 full, ...
Given:
Weight of full vessel = 27.5 kg
Weight of vessel when 1/4 full = 12.26 kg

Let the weight of the empty vessel be x kg.

We can set up a proportion to solve for x:

(27.5 - x) / 1 = (27.5 - 12.26) / 3

Here, we are using the fact that when the vessel is 1/4 full, there is 3/4 of its volume empty. So, the weight of the water in the vessel is (27.5 - 12.26) kg.

Simplifying the equation we get,

27.5 - x = 4.83

Solving for x,

x = 22.67 kg

Therefore, the weight of the empty vessel is 22.67 kg.

But the options are in kg and the answer we got is in grams. So, we need to convert 22.67 kg to grams.

22.67 kg = 22670 grams

So, the weight of the empty vessel is 7.18 kg (rounded off to two decimal places).

Hence, option A is the correct answer.
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A vessel, full of water, weighs 27.5 kg. when the vessel is 1/4 full, it weighs 12.26 kg. Find the weight of empty vessel?a)7.18 kgb)6.54 kgc)2.75 kgd)2 5 kgCorrect answer is option 'A'. Can you explain this answer?
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A vessel, full of water, weighs 27.5 kg. when the vessel is 1/4 full, it weighs 12.26 kg. Find the weight of empty vessel?a)7.18 kgb)6.54 kgc)2.75 kgd)2 5 kgCorrect answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A vessel, full of water, weighs 27.5 kg. when the vessel is 1/4 full, it weighs 12.26 kg. Find the weight of empty vessel?a)7.18 kgb)6.54 kgc)2.75 kgd)2 5 kgCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel, full of water, weighs 27.5 kg. when the vessel is 1/4 full, it weighs 12.26 kg. Find the weight of empty vessel?a)7.18 kgb)6.54 kgc)2.75 kgd)2 5 kgCorrect answer is option 'A'. Can you explain this answer?.
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