CAT Exam > CAT Questions > Directions: Question below consists of a que...
Start Learning for Free
Directions: Question 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.
Q. 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.
- 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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
- d)if the data in both the Statements I and II are not sufficient to answer the question.
- e)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?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Directions: Question below consists of a question and two statements ...
Understanding the Question
The question asks for the difference between two two-digit numbers, which can be represented as X and Y.
Analyzing Statement I
- Statement I: The square of the first number (X) is 9 times the second number (Y).
- Mathematically, this can be expressed as: X^2 = 9Y.
- This relationship alone does not provide a direct way to find the difference (X - Y) without additional information about the individual values of X and Y.
Analyzing Statement II
- Statement II: The ratio between the first number (X) and the second number (Y) is 3 : 4.
- This means X/Y = 3/4, or X = (3/4)Y.
- Although we know the relationship between X and Y, we still need the actual values to calculate the difference (X - Y).
Combining Both Statements
- When we combine Statement I and Statement II, we have:
- From Statement II: X = (3/4)Y.
- Substituting this into Statement I: ((3/4)Y)^2 = 9Y.
- Solving this equation will give us the values of X and Y, allowing us to find the difference (X - Y).
Conclusion
- Therefore, both statements together are necessary to determine the difference between the two two-digit numbers.
- This validates that the correct answer is option 'E': both statements together are required to answer the question.
The question asks for the difference between two two-digit numbers, which can be represented as X and Y.
Analyzing Statement I
- Statement I: The square of the first number (X) is 9 times the second number (Y).
- Mathematically, this can be expressed as: X^2 = 9Y.
- This relationship alone does not provide a direct way to find the difference (X - Y) without additional information about the individual values of X and Y.
Analyzing Statement II
- Statement II: The ratio between the first number (X) and the second number (Y) is 3 : 4.
- This means X/Y = 3/4, or X = (3/4)Y.
- Although we know the relationship between X and Y, we still need the actual values to calculate the difference (X - Y).
Combining Both Statements
- When we combine Statement I and Statement II, we have:
- From Statement II: X = (3/4)Y.
- Substituting this into Statement I: ((3/4)Y)^2 = 9Y.
- Solving this equation will give us the values of X and Y, allowing us to find the difference (X - Y).
Conclusion
- Therefore, both statements together are necessary to determine the difference between the two two-digit numbers.
- This validates that the correct answer is option 'E': both statements together are required to answer the question.
Free Test
FREE
| Start Free Test |
Community Answer
Directions: Question below consists of a question and two statements ...
Let the two numbers be x and y
Using statement I:
X2 = 9y
Using statement II:
x/y = ¾
Combining both the statements
x2 = 9 x (4/3)x or x = 3 x 4 = 12, y = (4/3)x = 16
Difference = 16 - 12 = 4
Hence, option 5
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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?
Question Description
Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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 Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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 Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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?.
Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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 Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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 Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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?.
Solutions for Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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? 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.
Here you can find the meaning of Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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 Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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 Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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
ample number of questions to practice Directions: Question 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.Q. 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.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 II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.c)if the data in Statement I alone or in Statement II alone are sufficient to answer the question.d)if the data in both the Statements I and II are not sufficient to answer the question.e)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? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup