CAT Exam > CAT Questions > Answer the following question based on the in...
Start Learning for Free
Answer the following question based on the information given below.
A cuboid is to be painted with red, blue and green colours.
Conditions:
(1) A surface has only one colour.
(2) Each of the three colors must be used.
(3) All six surfaces must be painted.
The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.
Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?
- a)268
- b)252
- c)244
- d)236
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Answer the following question based on the information given below.A c...
We have cut the cuboid by 8, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.
Hence, We have:
Hence, We have:
2 surfaces of the cuboid with (8x7) = 56 squares
2 surfaces of the cuboid with (8x6) = 48 squares
and remaining 2 surfaces of the cuboid with (7x6) = 42 squares
Total number of cubes formed = 8 x 7 x 6 = 336 In order to have maximum number of cubes without green or blue colour,
(i) one of the surfaces of cuboid with 42 squares must have painted with green and the other with blue. (Green and Blue should be used at least once.)
(ii) remaining 4 surfaces must be red.
Cubes having blue colour on them = 42 Cubes having green colour on them = 42 Cubes having blue and green on them = 0 Cubes without blue or green on them = 336 - 84 = 252 Hence, option 2.
Cubes having blue colour on them = 42 Cubes having green colour on them = 42 Cubes having blue and green on them = 0 Cubes without blue or green on them = 336 - 84 = 252 Hence, option 2.
Most Upvoted Answer
Answer the following question based on the information given below.A c...
To find the maximum number of cubes that do not have either blue or green color on them, we need to analyze the given conditions and the cutting of the cuboid.
Conditions:
1) A surface has only one color.
2) Each of the three colors must be used.
3) All six surfaces must be painted.
Cutting of the Cuboid:
The cuboid is cut by 5, 6, and 7 equally spaced planes parallel to the xy, yz, and xz planes respectively.
Let's analyze each condition and the cutting of the cuboid to determine the maximum number of cubes without blue or green color.
Condition 1: A surface has only one color.
The cuboid has 6 surfaces, and each surface can have only one color. Therefore, each of the 3 colors (red, blue, and green) must be used on 2 surfaces.
Condition 2: Each of the three colors must be used.
Since each of the 3 colors must be used on 2 surfaces, we can assign the colors as follows:
- Red: Top and bottom surfaces
- Blue: Front and back surfaces
- Green: Left and right surfaces
Condition 3: All six surfaces must be painted.
As per the assigned colors, all six surfaces are painted with red, blue, and green.
Cutting of the Cuboid:
The cuboid is cut by 5, 6, and 7 equally spaced planes parallel to the xy, yz, and xz planes respectively. This creates multiple smaller cubes within the cuboid.
To find the maximum number of cubes without blue or green color, we need to determine the number of cubes that have only the red color.
Let's analyze the cutting of the cuboid and the number of cubes created with only the red color:
- Cutting parallel to the xy plane (5 equally spaced planes): This creates 6 cubes in each row, giving a total of 6 * 5 = 30 cubes.
- Cutting parallel to the yz plane (6 equally spaced planes): This creates 7 cubes in each column, giving a total of 7 * 6 = 42 cubes.
- Cutting parallel to the xz plane (7 equally spaced planes): This creates 8 cubes in each layer, giving a total of 8 * 7 = 56 cubes.
Therefore, the maximum number of cubes without blue or green color is 30 + 42 + 56 = 128.
Hence, the correct answer is option B) 128.
Conditions:
1) A surface has only one color.
2) Each of the three colors must be used.
3) All six surfaces must be painted.
Cutting of the Cuboid:
The cuboid is cut by 5, 6, and 7 equally spaced planes parallel to the xy, yz, and xz planes respectively.
Let's analyze each condition and the cutting of the cuboid to determine the maximum number of cubes without blue or green color.
Condition 1: A surface has only one color.
The cuboid has 6 surfaces, and each surface can have only one color. Therefore, each of the 3 colors (red, blue, and green) must be used on 2 surfaces.
Condition 2: Each of the three colors must be used.
Since each of the 3 colors must be used on 2 surfaces, we can assign the colors as follows:
- Red: Top and bottom surfaces
- Blue: Front and back surfaces
- Green: Left and right surfaces
Condition 3: All six surfaces must be painted.
As per the assigned colors, all six surfaces are painted with red, blue, and green.
Cutting of the Cuboid:
The cuboid is cut by 5, 6, and 7 equally spaced planes parallel to the xy, yz, and xz planes respectively. This creates multiple smaller cubes within the cuboid.
To find the maximum number of cubes without blue or green color, we need to determine the number of cubes that have only the red color.
Let's analyze the cutting of the cuboid and the number of cubes created with only the red color:
- Cutting parallel to the xy plane (5 equally spaced planes): This creates 6 cubes in each row, giving a total of 6 * 5 = 30 cubes.
- Cutting parallel to the yz plane (6 equally spaced planes): This creates 7 cubes in each column, giving a total of 7 * 6 = 42 cubes.
- Cutting parallel to the xz plane (7 equally spaced planes): This creates 8 cubes in each layer, giving a total of 8 * 7 = 56 cubes.
Therefore, the maximum number of cubes without blue or green color is 30 + 42 + 56 = 128.
Hence, the correct answer is option B) 128.
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
|
|
Top Courses for CATView all
Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct answer is option 'B'. Can you explain this answer?
Question Description
Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct 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 Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct 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 Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct answer is option 'B'. Can you explain this answer?.
Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct 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 Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct 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 Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct answer is option 'B'. Can you explain this answer?.
Solutions for Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct 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 Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Answer the following question based on the information given below.A cuboid is to be painted with red, blue and green colours.Conditions:(1) A surface has only one colour.(2) Each of the three colors must be used.(3) All six surfaces must be painted.The cuboid is then cut by 5, 6 and 7 equally spaced planes parallel to xy, yz and xz planes respectively.Q.What can be the maximum number of cubes that do not have ether blue or green colour on them?a)268b)252c)244d)236Correct 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