CAT Exam > CAT Questions > A loaf of bread with weight 60 grams is cut i...
Start Learning for Free
A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?
- a)24 grams
- b)30 grams
- c)36 grams
- d)40 grams
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A loaf of bread with weight 60 grams is cut into three unequal pieces....
Assume the weight of the heaviest piece = 5x
Then, the weight of the lightest piece = x
So, the weight of medium weighted piece = x + 18
∴ (5x) + (x + 18) + (x) = 60
⇒ x = 6
So, the weight of the heaviest piece = 5 × 6 = 30 grams
Then, the weight of the lightest piece = x
So, the weight of medium weighted piece = x + 18
∴ (5x) + (x + 18) + (x) = 60
⇒ x = 6
So, the weight of the heaviest piece = 5 × 6 = 30 grams
Free Test
FREE
| Start Free Test |
Community Answer
A loaf of bread with weight 60 grams is cut into three unequal pieces....
Given:
- Weight of the loaf of bread = 60 grams
- The loaf of bread is cut into three unequal pieces
- Ratio of the weights of the heaviest and the lightest pieces = 5:1
- The middle weighted piece is 18 grams heavier than the lightest piece
To find:
- The weight of the heaviest piece
Solution:
Step 1: Assign variables
Let the weight of the lightest piece be x grams.
Then, the weight of the middle piece is (x + 18) grams.
And the weight of the heaviest piece is 5x grams.
Step 2: Form equations
According to the given information, we can form the following equations:
- x + (x + 18) + 5x = 60 (as the sum of the weights of the three pieces is equal to the weight of the loaf of bread)
- (7x + 18) = 60
Step 3: Solve the equation
(7x + 18) = 60
7x = 60 - 18
7x = 42
x = 42/7
x = 6
Step 4: Find the weight of the heaviest piece
The weight of the heaviest piece = 5x = 5 * 6 = 30 grams
Therefore, the weight of the heaviest piece is 30 grams.
Hence, option B is the correct answer.
- Weight of the loaf of bread = 60 grams
- The loaf of bread is cut into three unequal pieces
- Ratio of the weights of the heaviest and the lightest pieces = 5:1
- The middle weighted piece is 18 grams heavier than the lightest piece
To find:
- The weight of the heaviest piece
Solution:
Step 1: Assign variables
Let the weight of the lightest piece be x grams.
Then, the weight of the middle piece is (x + 18) grams.
And the weight of the heaviest piece is 5x grams.
Step 2: Form equations
According to the given information, we can form the following equations:
- x + (x + 18) + 5x = 60 (as the sum of the weights of the three pieces is equal to the weight of the loaf of bread)
- (7x + 18) = 60
Step 3: Solve the equation
(7x + 18) = 60
7x = 60 - 18
7x = 42
x = 42/7
x = 6
Step 4: Find the weight of the heaviest piece
The weight of the heaviest piece = 5x = 5 * 6 = 30 grams
Therefore, the weight of the heaviest piece is 30 grams.
Hence, option B is the correct answer.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer?
Question Description
A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer?.
A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A loaf of bread with weight 60 grams is cut into three unequal pieces. The ratio of the weights of heaviest and the lightest pieces is 5 : 1. If the middle weighted piece is 18 grams heavier than the lightest, then what is the weight of the heaviest piece?a)24 gramsb)30 gramsc)36 gramsd)40 gramsCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup