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A paint can is in the shape of a right circular cylinder. A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?
(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can
(2) The height of the can is five times the height of the paper label.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
  • d)
    EACH statement ALONE is sufficient to answer the question asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A paint can is in the shape of a right circular cylinder. A rectangula...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
  • A right circular cylinder
    • Let radius = R units
    • Let height = H units
  • A paper label of area 12 square units
    • Let height of paper label = h units
    • Length of the paper label = Circumference of the top-view circle of the cylinder = 2πR
  • So, area of paper label = 2πRh=12
 
To find: The curved surface area of the paint can
  • Curved Surface Area = A=2πRH . . . (II)
  • Substituting (I) in (II):
  • A=12H/h  . . . (III)
Thus, in order to find the required area, we need to find the ratio H/h
Step 3: Analyze Statement 1 independently
(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can
  • H = 5 + 5 = 10
  • But we don’t know the value of h yet.
So, statement 1 is not sufficient.
Step 4: Analyze Statement 2 independently
(2) The height of the can is five times the height of the paper label.
Since we now know the value of , we can find a unique value of A.
Sufficient.
Step 5: Analyze Both Statements Together (if needed)
Since we’ve already arrived at a unique answer in Step 4, this step is not required
Answer: Option B
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A paint can is in the shape of a right circular cylinder. A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?
Question Description
A paint can is in the shape of a right circular cylinder. A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A paint can is in the shape of a right circular cylinder. A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A paint can is in the shape of a right circular cylinder. A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?.
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A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. 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A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. 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A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. 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A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A paint can is in the shape of a right circular cylinder. A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can(2) The height of the can is five times the height of the paper label.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. 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