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Directions: Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q. How much cardboard will it take to make an open cubical box with no top?
(I) The area of the bottom of the box is 4 square meters.
(II) The volume of the box is 8 cubic meters.
  • a)
    Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient.
  • b)
    Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
  • d)
    EACH statement ALONE is sufficient.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Each of the questions below consists of a question and tw...
(I) → Area of the open cubical box with no top = 4 x 5 = 20 sq m
(II) → Edge of box = 2m. Therefore required area = 5 x (II)2 = 20 sq.m
Hence we can get answer with statement (I) alone and statement (II) alone.
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Community Answer
Directions: Each of the questions below consists of a question and tw...
Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient.
To calculate the amount of cardboard required to make an open cubical box with no top, we need to know the surface area of the box.

The surface area of the box is the sum of the areas of all its sides. Since the box is open and has no top, there are only five sides to consider - the bottom and the four sides.

Statement (I) tells us that the area of the bottom of the box is 4 square meters. This means that the length times the width of the bottom face is 4 square meters.

Since a cube has all sides equal in length, we can find the length of one side by taking the square root of the area of the bottom face. So, the length of one side of the bottom face is √4 = 2 meters.

So, the area of each side of the cube is 2 meters × 2 meters = 4 square meters.

Therefore, the total surface area of the cube is 5 × 4 = 20 square meters.

Knowing the surface area of the cube, we can calculate the amount of cardboard required. Each square meter of cardboard will cover one square meter of the cube's surface. Therefore, the amount of cardboard required is 20 square meters.

Statement (I) alone is sufficient to answer the question.

Statement (II) ALONE is not sufficient.
Statement (II) tells us the volume of the box is 8 cubic meters. However, the volume alone does not provide any information about the surface area of the box.

The volume of a cube is calculated by taking the length of one side and cubing it. So, if we know the volume is 8 cubic meters, we can find the length of one side by taking the cube root of 8. The cube root of 8 is 2. Therefore, the length of one side is 2 meters.

However, knowing the length of one side does not give us the surface area of the box. We need to know the length and width of the bottom face to calculate the surface area.

Statement (II) alone is not sufficient to answer the question.

Both statements TOGETHER are sufficient to answer the question.
By combining the information from both statements, we know that the area of the bottom of the box is 4 square meters and the volume of the box is 8 cubic meters.

Using statement (I), we can find that the length of one side of the bottom face is 2 meters.

Using statement (II), we can find that the length of one side of the box is also 2 meters.

With this information, we can calculate the surface area of the box. The area of each side of the box is 2 meters × 2 meters = 4 square meters.

Therefore, the total surface area of the box is 5 × 4 = 20 square meters.

Knowing the surface area, we can calculate the amount of cardboard required, which is 20 square meters.

Both statements together are sufficient to answer the question.

Therefore, the correct answer is option D.
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Directions: Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. How much cardboard will it take to make an open cubical box with no top?(I) The area of the bottom of the box is 4 square meters.(II) The volume of the box is 8 cubic meters.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient.b)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. Can you explain this answer?
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Directions: Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. How much cardboard will it take to make an open cubical box with no top?(I) The area of the bottom of the box is 4 square meters.(II) The volume of the box is 8 cubic meters.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient.b)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. 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 Directions: Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. How much cardboard will it take to make an open cubical box with no top?(I) The area of the bottom of the box is 4 square meters.(II) The volume of the box is 8 cubic meters.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient.b)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. How much cardboard will it take to make an open cubical box with no top?(I) The area of the bottom of the box is 4 square meters.(II) The volume of the box is 8 cubic meters.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient.b)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Q. How much cardboard will it take to make an open cubical box with no top?(I) The area of the bottom of the box is 4 square meters.(II) The volume of the box is 8 cubic meters.a)Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient.b)Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.d)EACH statement ALONE is sufficient.Correct answer is option 'D'. 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.
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