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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. Read both the statements.
What will be the difference between two two-digit numbers ?
I. The square of the first number is 9 times the second number.
II. The ratio between the first number and the second number is 3 : 4 respectively.
(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- a)If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- b)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
- c)if the data in both the Statements I and II are not sufficient to answer the question.
- d)if the data in both the Statements I and II together are necessary to answer the question
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
Each of the questions below consists of a question and two statements...
Let the two numbers be x and y
View all questions of this test
Using statement I:
X2 = 9y
Using statement II:
x/y = ¾
Combining both the statements
x2 = 9 * (4/3)x or x = 3 * 4 = 12, y = (4/3)x = 16
Difference = 16 - 12 = 4
Hence, option 5
Most Upvoted Answer
Each of the questions below consists of a question and two statements...
Understanding the Problem
To find the difference between two two-digit numbers, we have two statements:
- Statement I: The square of the first number is 9 times the second number.
- Statement II: The ratio between the first number and the second number is 3:4.
Analysis of Statements
- Statement I
- Let the first number be x and the second number be y.
- The equation from the statement can be written as: x^2 = 9y.
- This equation alone does not provide enough information to determine the specific numbers or their difference without additional context.
- Therefore, Statement I alone is not sufficient.
- Statement II
- From the ratio 3:4, we can express the numbers as:
- x = 3k and y = 4k for some integer k.
- The difference can be calculated as:
- Difference = y - x = 4k - 3k = k.
- However, without knowing the value of k, we cannot definitively determine the difference.
- Hence, Statement II alone is also not sufficient.
Combining Statements
When we combine both statements:
- From Statement I, we know x^2 = 9y. Substituting y = 4k into this gives us x^2 = 36k.
- From Statement II, x = 3k leads to:
- (3k)^2 = 36k.
- This simplifies to 9k^2 = 36k, resulting in k(k - 4) = 0.
- The valid solution is k = 4 (since k cannot be 0 for two-digit numbers).
- Thus, x = 12 and y = 16. The difference is 16 - 12 = 4.
Conclusion
The answer to the question regarding the difference between the two numbers requires both statements. Hence, the correct answer is option 'E': if the data in both the Statements I and II together are necessary to answer the question.
To find the difference between two two-digit numbers, we have two statements:
- Statement I: The square of the first number is 9 times the second number.
- Statement II: The ratio between the first number and the second number is 3:4.
Analysis of Statements
- Statement I
- Let the first number be x and the second number be y.
- The equation from the statement can be written as: x^2 = 9y.
- This equation alone does not provide enough information to determine the specific numbers or their difference without additional context.
- Therefore, Statement I alone is not sufficient.
- Statement II
- From the ratio 3:4, we can express the numbers as:
- x = 3k and y = 4k for some integer k.
- The difference can be calculated as:
- Difference = y - x = 4k - 3k = k.
- However, without knowing the value of k, we cannot definitively determine the difference.
- Hence, Statement II alone is also not sufficient.
Combining Statements
When we combine both statements:
- From Statement I, we know x^2 = 9y. Substituting y = 4k into this gives us x^2 = 36k.
- From Statement II, x = 3k leads to:
- (3k)^2 = 36k.
- This simplifies to 9k^2 = 36k, resulting in k(k - 4) = 0.
- The valid solution is k = 4 (since k cannot be 0 for two-digit numbers).
- Thus, x = 12 and y = 16. The difference is 16 - 12 = 4.
Conclusion
The answer to the question regarding the difference between the two numbers requires both statements. Hence, the correct answer is option 'E': if the data in both the Statements I and II together are necessary to answer the question.
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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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?
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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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. 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 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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. 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 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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?.
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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. 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 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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. 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 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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?.
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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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for 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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of 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. Read both the statements.What will be the difference between two two-digit numbers ?I. The square of the first number is 9 times the second number.II. The ratio between the first number and the second number is 3 : 4 respectively.(b). if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.a) If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.b) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.c) if the data in both the Statements I and II are not sufficient to answer the question.d) if the data in both the Statements I and II together are necessary to answer the questionCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
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