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Each question is followed by two statements, A and B. Answer each question using the following instructions:
Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.
Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.
Mark option (3) if the question can be answered by using either statement alone.
Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark option (5) if the question cannot be answered on the basis of the two statements.
Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.
Mark option (3) if the question can be answered by using either statement alone.
Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark option (5) if the question cannot be answered on the basis of the two statements.
Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?
A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.
B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.
A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.
B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.
- a)1
- b)2
- c)3
- d)4
- e)5
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Each question is followed by two statements, A and B. Answer each ques...
Let the length and the breadth of the rectangle be denoted as / and b respectively.
From the given statement, (b + 2) * (l - 3) = lb
∴ 2l - 3b = 6 ...(i)
From the given statement, (b + 2) * (l - 3) = lb
∴ 2l - 3b = 6 ...(i)
Using statement A alone:
(b -1)x (l+ 3) = lb
∴ 3b - l = 3 ...(ii)
From (i) and (ii), l = 9 and b = 4.
Thus, the question can be answered using statement A alone.
∴ 3b - l = 3 ...(ii)
From (i) and (ii), l = 9 and b = 4.
Thus, the question can be answered using statement A alone.
Using statement B alone:
(l + 2) x (b+ 1) = 2lb
∴ Ib + 2b + l + 2 = 2lb
∴ 2b+ l+2 = lb ...(iii)
Now from (i),
I = (3b+ 6)/2 ...(iv)
Substituting from (iv) in (iii) we get,
2b + [{3b + 6)/2] + 2 = [(3b + 6)/2] x b
∴ 4b + 3b + 6 + 4 = 3 x b2 + 6b
∴ 3b2 - b - 10 = 0
∴ 3b2 - 6b + 5 b - 10 = 0
∴ 3b(b - 2) + 5(b - 2) = 0
∴ (3b + 5) x (b - 2) = 0
b = 2
Since b is known, / and consequently the area can be found.
Thus, the question can be answered using statement B alone.
Thus, the question can be answered using either of the statements alone.
Hence, option 3.
∴ Ib + 2b + l + 2 = 2lb
∴ 2b+ l+2 = lb ...(iii)
Now from (i),
I = (3b+ 6)/2 ...(iv)
Substituting from (iv) in (iii) we get,
2b + [{3b + 6)/2] + 2 = [(3b + 6)/2] x b
∴ 4b + 3b + 6 + 4 = 3 x b2 + 6b
∴ 3b2 - b - 10 = 0
∴ 3b2 - 6b + 5 b - 10 = 0
∴ 3b(b - 2) + 5(b - 2) = 0
∴ (3b + 5) x (b - 2) = 0
b = 2
Since b is known, / and consequently the area can be found.
Thus, the question can be answered using statement B alone.
Thus, the question can be answered using either of the statements alone.
Hence, option 3.
Most Upvoted Answer
Each question is followed by two statements, A and B. Answer each ques...
Understanding the Question
The question asks for the area of a rectangle given a condition about changes in its breadth and length that keep the area unchanged.
Statement Analysis
- Statement A: States that if the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.
- Statement B: Claims that if the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.
Evaluating Statement A
- This statement implies a relationship between the breadth and length adjustments while maintaining the area.
- By analyzing the changes described, one can infer the original area since it provides a specific adjustment scenario.
Evaluating Statement B
- This statement suggests a different adjustment and indicates that the area doubles with those changes.
- However, it does not provide enough information to determine the original area, as it focuses on the doubling effect rather than maintaining a specific area.
Conclusion on Statements
- Both statements provide insights into changes to the rectangle's dimensions, but neither alone can determine the area.
- Since each statement presents different scenarios regarding area changes, they do not overlap in providing sufficient information to ascertain a single area value.
Final Answer Selection
- Since the area of the rectangle can be deduced from either statement alone due to their implications about area consistency, the correct answer is option 3 (can be answered by using either statement alone).
The question asks for the area of a rectangle given a condition about changes in its breadth and length that keep the area unchanged.
Statement Analysis
- Statement A: States that if the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.
- Statement B: Claims that if the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.
Evaluating Statement A
- This statement implies a relationship between the breadth and length adjustments while maintaining the area.
- By analyzing the changes described, one can infer the original area since it provides a specific adjustment scenario.
Evaluating Statement B
- This statement suggests a different adjustment and indicates that the area doubles with those changes.
- However, it does not provide enough information to determine the original area, as it focuses on the doubling effect rather than maintaining a specific area.
Conclusion on Statements
- Both statements provide insights into changes to the rectangle's dimensions, but neither alone can determine the area.
- Since each statement presents different scenarios regarding area changes, they do not overlap in providing sufficient information to ascertain a single area value.
Final Answer Selection
- Since the area of the rectangle can be deduced from either statement alone due to their implications about area consistency, the correct answer is option 3 (can be answered by using either statement alone).
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Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?
Question Description
Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct 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 Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct 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 Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?.
Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct 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 Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct 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 Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?.
Solutions for Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct 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 Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. If the breadth of a rectangle is increased by 2 units and the length is decreased by 3 units, the area is unchanged. What is the area of the rectangle?A. If the breadth is decreased by 1 unit and the length is increased by 3 units, the area remains the same.B. If the breadth is increased by 1 unit and the length is increased by 2 units, the area gets doubled.a)1b)2c)3d)4e)5Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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