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In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?
(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD
(2) The length of side PQ is 20% greater than the length of side QR
  • 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 'C'. Can you explain this answer?
Verified Answer
In the figure above, rectangle PQRS is a shaded region inside the squa...
Steps 1 & 2: Understand Question and Draw Inferences
Given: The figure that shows rectangle PQRS inside square ABCD
To find: Probability that a randomly chosen point from the square lies inside the rectangle PQRS
Step 3: Analyze Statement 1 independently
Statement 1 says that ‘The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD’
The above equation has 2 unknowns:
  • So, we cannot find a unique value of the required ratios from this single equation
  • Therefore, Statement 1 is not sufficient.
Step 4: Analyze Statement 2 independently
Statement 2 says that ‘The length of side PQ is 20% greater than the length of side QR’
However, in order to answer the question, we need to know the value of
  • Since Statement 2 doesn’t provide us with these ratios, it is not sufficient.
 
Step 5: Analyze Both Statements Together (if needed)
  • Rejecting the negative root since the ratio of two lengths cannot be negative
  • Thus, by combining the 2 statements, we get a unique value of the ratio QR/AB
  • By substituting the equation from Statement 2, we can also get a unique value of the ratio PQ/AB
  • So, we will be able to find the value of 
  • Thus, the 2 statements together are sufficient to answer the question
 
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Most Upvoted Answer
In the figure above, rectangle PQRS is a shaded region inside the squa...
Steps 1 & 2: Understand Question and Draw Inferences
Given: The figure that shows rectangle PQRS inside square ABCD
To find: Probability that a randomly chosen point from the square lies inside the rectangle PQRS
Step 3: Analyze Statement 1 independently
Statement 1 says that ‘The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD’
The above equation has 2 unknowns:
  • So, we cannot find a unique value of the required ratios from this single equation
  • Therefore, Statement 1 is not sufficient.
Step 4: Analyze Statement 2 independently
Statement 2 says that ‘The length of side PQ is 20% greater than the length of side QR’
However, in order to answer the question, we need to know the value of
  • Since Statement 2 doesn’t provide us with these ratios, it is not sufficient.
 
Step 5: Analyze Both Statements Together (if needed)
  • Rejecting the negative root since the ratio of two lengths cannot be negative
  • Thus, by combining the 2 statements, we get a unique value of the ratio QR/AB
  • By substituting the equation from Statement 2, we can also get a unique value of the ratio PQ/AB
  • So, we will be able to find the value of 
  • Thus, the 2 statements together are sufficient to answer the question
 
Free Test
Community Answer
In the figure above, rectangle PQRS is a shaded region inside the squa...
Steps 1 & 2: Understand Question and Draw Inferences
Given: The figure that shows rectangle PQRS inside square ABCD
To find: Probability that a randomly chosen point from the square lies inside the rectangle PQRS
Step 3: Analyze Statement 1 independently
Statement 1 says that ‘The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD’
The above equation has 2 unknowns:
  • So, we cannot find a unique value of the required ratios from this single equation
  • Therefore, Statement 1 is not sufficient.
Step 4: Analyze Statement 2 independently
Statement 2 says that ‘The length of side PQ is 20% greater than the length of side QR’
However, in order to answer the question, we need to know the value of
  • Since Statement 2 doesn’t provide us with these ratios, it is not sufficient.
 
Step 5: Analyze Both Statements Together (if needed)
  • Rejecting the negative root since the ratio of two lengths cannot be negative
  • Thus, by combining the 2 statements, we get a unique value of the ratio QR/AB
  • By substituting the equation from Statement 2, we can also get a unique value of the ratio PQ/AB
  • So, we will be able to find the value of 
  • Thus, the 2 statements together are sufficient to answer the question
 
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In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. Can you explain this answer?
Question Description
In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. 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 In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. Can you explain this answer?.
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What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. Can you explain this answer?, a detailed solution for In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. 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What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the figure above, rectangle PQRS is a shaded region inside the square ABCD. What is the probability that a point chosen at random from the square ABCD will lie inside the shaded rectangle PQRS?(1) The length of a diagonal of rectangle PQRS is 55% the length of a diagonal of square ABCD(2) The length of side PQ is 20% greater than the length of side QRa)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 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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