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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 is the value of prime number x?
I. x2 + x is a two digit number greater than 50
II. x3 is a three digit number.
  • a)
    If the question can be answered with the help of statement I alone,
  • b)
    If the question can be answered with the help of statement II alone,
  • c)
    If both, statement I and statement II are needed to answer the question
  • d)
    If the question cannot be answered even with the help of both the statements.
  • e)
    If the data in either statement I or statement II alone is sufficient to answer the question
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: Question below consists of a question and two statements ...
From statement I
(x2 + x) should be less than 100 and greater than 50
This is possible only for 3 numbers i.e. 7, 8, 9
72 + 7 = 56
82 + 8 = 72
92 + 9 = 90
But only 7 is prime number. Hence, x = 7
From statement II:
The value of x can 5 or 7, since both 53 and 73 is a three digit number
Hence, only statement I alone is sufficient to answer the question
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Community Answer
Directions: Question below consists of a question and two statements ...

Given Question:
What is the value of prime number x?

Statement I:
x^2 + x is a two digit number greater than 50

Statement II:
x^3 is a three digit number

Explanation:
In this question, we are asked to find the value of the prime number x. Let's analyze both statements to see if we can determine the value of x.

Statement I Analysis:
- If x is a prime number, then x^2 + x being a two-digit number greater than 50 implies that x must be a single-digit prime number (as the square of a double-digit number will always be greater than 50).
- From this information alone, we can determine the possible values of x (2, 3, 5, or 7), thus statement I is sufficient to answer the question.

Statement II Analysis:
- If x^3 is a three-digit number, then x must be a single-digit prime number (as the cube of a double-digit number will always be greater than 100).
- Similar to statement I, this information alone allows us to determine the possible values of x (2, 3, 5, or 7).

Therefore, it can be concluded that the question can be answered with the help of statement I alone. Hence, the correct answer is option 'A'.
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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 is the value of prime number x?I. x2 + x is a two digit number greater than 50II. x3 is a three digit number.a)If the question can be answered with the help of statement I alone,b)If the question can be answered with the help of statement II alone,c)If both, statement I and statement II are needed to answer the questiond)If the question cannot be answered even with the help of both the statements.e)If the data in either statement I or statement II alone is sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?
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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 is the value of prime number x?I. x2 + x is a two digit number greater than 50II. x3 is a three digit number.a)If the question can be answered with the help of statement I alone,b)If the question can be answered with the help of statement II alone,c)If both, statement I and statement II are needed to answer the questiond)If the question cannot be answered even with the help of both the statements.e)If the data in either statement I or statement II alone is sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 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 is the value of prime number x?I. x2 + x is a two digit number greater than 50II. x3 is a three digit number.a)If the question can be answered with the help of statement I alone,b)If the question can be answered with the help of statement II alone,c)If both, statement I and statement II are needed to answer the questiond)If the question cannot be answered even with the help of both the statements.e)If the data in either statement I or statement II alone is sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 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 is the value of prime number x?I. x2 + x is a two digit number greater than 50II. x3 is a three digit number.a)If the question can be answered with the help of statement I alone,b)If the question can be answered with the help of statement II alone,c)If both, statement I and statement II are needed to answer the questiond)If the question cannot be answered even with the help of both the statements.e)If the data in either statement I or statement II alone is sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?.
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