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DIRECTIONS for the question: Solve the following question and mark the best possible option.
Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?
- a)> 8.00 feet and < 8.20 feet
- b)> 8.21 feet and < 8.40 feet
- c)> 8.41 feet and < 8.60 feet
- d)> 8.61 feet and < 8.80 feet
- e)> 8.81 feet and < 9.00 feet
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
Let us assume the largest possible circle that can be cut from the remaining portion has radius r feet.
And O, A, B and C be the centers of the circles with radius 15 feet, 10 feet, 5 feet and r feet respectively. Also, circle with centre A and B touch each other at D.
Now, AO = OD = BD = 5 cm
► AC = 10 + r; BC = 5 + r; OC = 15 – r; and Let DC = x
Applying Apollonius Theorem in triangle ADC,
► AC2 + CD2 = 2 (OC2 + AO2)
► (10 + r)2 + x2 = 2 [(15 - r)2 + 52]
Similarly, applying Apollonius Theorem in triangle OCB,
► (15 - r)2 + (5 + r)2 = 2 (x2 + 52)
Solving both the equations, we get r = 30/7
Hence, diameter = 2.r = 60/7 = 8.57
Thus, correct answer is Option C.
And O, A, B and C be the centers of the circles with radius 15 feet, 10 feet, 5 feet and r feet respectively. Also, circle with centre A and B touch each other at D.
Now, AO = OD = BD = 5 cm
► AC = 10 + r; BC = 5 + r; OC = 15 – r; and Let DC = x
Applying Apollonius Theorem in triangle ADC,
► AC2 + CD2 = 2 (OC2 + AO2)
► (10 + r)2 + x2 = 2 [(15 - r)2 + 52]
Similarly, applying Apollonius Theorem in triangle OCB,
► (15 - r)2 + (5 + r)2 = 2 (x2 + 52)
Solving both the equations, we get r = 30/7
Hence, diameter = 2.r = 60/7 = 8.57
Thus, correct answer is Option C.
Most Upvoted Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
Let us assume the largest possible circle that can be cut from the remaining portion has radius r feet.
And O, A, B and C be the centers of the circles with radius 15 feet, 10 feet, 5 feet and r feet respectively. Also, circle with centre A and B touch each other at D.
Now, AO = OD = BD = 5 cm
► AC = 10 + r; BC = 5 + r; OC = 15 – r; and Let DC = x
Applying Apollonius Theorem in triangle ADC,
► AC2 + CD2 = 2 (OC2 + AO2)
► (10 + r)2 + x2 = 2 [(15 - r)2 + 52]
Similarly, applying Apollonius Theorem in triangle OCB,
► (15 - r)2 + (5 + r)2 = 2 (x2 + 52)
Solving both the equations, we get r = 30/7
Hence, diameter = 2.r = 60/7 = 8.57
Thus, correct answer is Option C.
And O, A, B and C be the centers of the circles with radius 15 feet, 10 feet, 5 feet and r feet respectively. Also, circle with centre A and B touch each other at D.
Now, AO = OD = BD = 5 cm
► AC = 10 + r; BC = 5 + r; OC = 15 – r; and Let DC = x
Applying Apollonius Theorem in triangle ADC,
► AC2 + CD2 = 2 (OC2 + AO2)
► (10 + r)2 + x2 = 2 [(15 - r)2 + 52]
Similarly, applying Apollonius Theorem in triangle OCB,
► (15 - r)2 + (5 + r)2 = 2 (x2 + 52)
Solving both the equations, we get r = 30/7
Hence, diameter = 2.r = 60/7 = 8.57
Thus, correct answer is Option C.
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DIRECTIONSfor the question:Solve the following question and mark the b...
20 feet
b) 15 feet
c) 10 feet
d) 5 feet
b) 15 feet
c) 10 feet
d) 5 feet
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer?.
DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer?.
Solutions for DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice DIRECTIONSfor the question:Solve the following question and mark the best possible option.Carpenter Rajesh has a circular piece of plywood of diameter 30 feet. He has cut out two disks of diameter 20 feet and 10 feet. What is the diameter of the largest disk that can be cut out from the remaining portion of the plywood piece?a)> 8.00 feet and < 8.20 feetb)> 8.21 feet and < 8.40 feetc)> 8.41 feet and < 8.60 feetd)> 8.61 feet and < 8.80 feete)> 8.81 feet and < 9.00 feetCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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