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Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.
What is the volume of the cuboid?
Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,
1440 cm2
Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.
- a)Only Statement I is sufficient to answer the question
- b)Only Statement II is sufficient to answer the question
- c)Both Statement I and Statement II together are necessary to answer the question
- d)Either Statement I alone or Statement II alone is sufficient to answer the question
- e)Both Statement I and Statement II together are not sufficient to answer the question
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Each question below is followed by two statements I and II. You have ...
From Statement I,
Let the length, breadth and height of the cuboid are l, b and h respectively.
The area of the three adjacent sides of the cuboid are 1632 cm2, 1020 cm2, 1440 cm2.
⇒ lb x bh x lh = 1632 x 1020 x 1440
⇒ lbh2 = 16 x 102 x 102 x 10 x 144 x 10
⇒ lbh = 4 x 102 x 10 x 12
⇒ lbh = 48960 cm3
Volume of the cuboid = lbh = 48960 cm3
So Statement I is sufficient to answer the question.
From Statement II,
Let the side of the square = a
Perimeter of the square = 120 cm
4a = 120
a = 30 cm
The height of the cuboid is equal to the side of a square.
Height of the cuboid = a = 30 cm
Let the breadth of the cuboid = b
The length of the cuboid is twice the breadth.
Length of the cuboid = 2b
No more information is given regarding the length and breadth of the cuboid. We cannot find the length and breadth of the cuboid. We cannot find the volume of the cuboid without length and breadth.
So Statement II is not sufficient to answer the question
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Community Answer
Each question below is followed by two statements I and II. You have ...
Understanding the Problem
To find the volume of the cuboid, we need the dimensions: length (l), breadth (b), and height (h). The formula for the volume is:
Volume = l × b × h
We will analyze the sufficiency of each statement provided.
Statement I: Area of Three Adjacent Sides
- The areas of the three adjacent sides are given as:
- Area 1 = l × b = 1632 cm²
- Area 2 = b × h = 1020 cm²
- Area 3 = h × l = 1440 cm²
- We can use these equations to derive the values of l, b, and h. By solving the equations, we can find the individual dimensions.
- Since we can calculate all three dimensions from these areas, Statement I alone is sufficient to determine the volume.
Statement II: Length and Height Relationships
- This statement provides:
- Length (l) is twice the breadth (b): l = 2b
- The height (h) is derived from the perimeter of a square: Perimeter = 4 × side = 120 cm, so side = 30 cm, thus h = 30 cm.
- With l = 2b and h = 30 cm, we can express the volume as:
Volume = l × b × h = (2b) × b × 30 = 60b².
- However, we still do not have a specific value for b, making it impossible to calculate the exact volume.
Conclusion
- Statement I alone is sufficient to calculate the volume of the cuboid.
- Statement II alone is not sufficient since it leads to a variable volume based on the breadth.
Hence, the correct answer is option 'A': Only Statement I is sufficient to answer the question.
To find the volume of the cuboid, we need the dimensions: length (l), breadth (b), and height (h). The formula for the volume is:
Volume = l × b × h
We will analyze the sufficiency of each statement provided.
Statement I: Area of Three Adjacent Sides
- The areas of the three adjacent sides are given as:
- Area 1 = l × b = 1632 cm²
- Area 2 = b × h = 1020 cm²
- Area 3 = h × l = 1440 cm²
- We can use these equations to derive the values of l, b, and h. By solving the equations, we can find the individual dimensions.
- Since we can calculate all three dimensions from these areas, Statement I alone is sufficient to determine the volume.
Statement II: Length and Height Relationships
- This statement provides:
- Length (l) is twice the breadth (b): l = 2b
- The height (h) is derived from the perimeter of a square: Perimeter = 4 × side = 120 cm, so side = 30 cm, thus h = 30 cm.
- With l = 2b and h = 30 cm, we can express the volume as:
Volume = l × b × h = (2b) × b × 30 = 60b².
- However, we still do not have a specific value for b, making it impossible to calculate the exact volume.
Conclusion
- Statement I alone is sufficient to calculate the volume of the cuboid.
- Statement II alone is not sufficient since it leads to a variable volume based on the breadth.
Hence, the correct answer is option 'A': Only Statement I is sufficient to answer the question.
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Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?.
Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question or not and mark the option accordingly.What is the volume of the cuboid?Statement I: The area of the three adjacent sides of the cuboid are 1632 cm2 , 1020 cm2 ,1440 cm2Statement II: The length of the cuboid is twice the breadth. The height of the cuboid is equal to the side of a square whose perimeter is 120 cm.a)Only Statement I is sufficient to answer the questionb)Only Statement II is sufficient to answer the questionc)Both Statement I and Statement II together are necessary to answer the questiond)Either Statement I alone or Statement II alone is sufficient to answer the questione)Both Statement I and Statement II together are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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