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Is the number X, divisible by 33?
Statement 1: X-11 is divisible by 3 and X is divisible by 11
Statement 2: The number formed by reversing the digits of X is divisible by 33
  • a)
    The question can be answered using one of the statements alone and not by using the other statement
  • b)
    The question can be answered using either of the statements alone.
  • c)
    The question can't be answered by either of the statements alone, but can be answered by using both
  • d)
    The question can't be answered by using both the statements together.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Is the number X, divisible by 33?Statement 1: X-11 is divisible by 3 ...
Statement 1:
Given that X-11 is divisible by 3 and X is divisible by 11, we can say:
- X-11 is divisible by 3 means X is 11 more than a multiple of 3.
- X is divisible by 11 means X is a multiple of 11.
From the above information, we can find the value of X by considering multiples of 11 that are 11 more than multiples of 3. For example, 33, 66, 99, etc. So, Statement 1 alone is sufficient to determine if X is divisible by 33.

Statement 2:
Given that the number formed by reversing the digits of X is divisible by 33, we can say:
- X = 10*a + b (where a and b are digits of X)
- Reversing the digits of X gives us 10*b + a
- The number formed by reversing the digits of X is divisible by 33 means 33 divides (10*b + a)
- This implies 33 divides (10*b + a) = 3*(10*a + b), which shows 33 divides X
Therefore, Statement 2 alone is also sufficient to determine if X is divisible by 33.
Thus, the answer is option 'B' as the question can be answered using either of the statements alone.
Community Answer
Is the number X, divisible by 33?Statement 1: X-11 is divisible by 3 ...
X is divisible by 33 if and only if X is divisible by bother 3 and 11.
Statement 1 implies that X is not divisible by 3.
Hence, we can conclude that X is not divisible by 33.
Statement 2 implies that X is divisible by both 3 and 11 and hence divisible by 33.
Hence, the question can be answered using either of the two statements alone.
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Is the number X, divisible by 33?Statement 1: X-11 is divisible by 3 and X is divisible by 11Statement 2: The number formed by reversing the digits of X is divisible by 33a)The question can be answered using one of the statements alone and not by using the other statementb)The question can be answered using either of the statements alone.c)The question can't be answered by either of the statements alone, but can be answered by using bothd)The question can't be answered by using both the statements together.Correct answer is option 'B'. Can you explain this answer?
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Is the number X, divisible by 33?Statement 1: X-11 is divisible by 3 and X is divisible by 11Statement 2: The number formed by reversing the digits of X is divisible by 33a)The question can be answered using one of the statements alone and not by using the other statementb)The question can be answered using either of the statements alone.c)The question can't be answered by either of the statements alone, but can be answered by using bothd)The question can't be answered by using both the statements together.Correct answer is option 'B'. 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 Is the number X, divisible by 33?Statement 1: X-11 is divisible by 3 and X is divisible by 11Statement 2: The number formed by reversing the digits of X is divisible by 33a)The question can be answered using one of the statements alone and not by using the other statementb)The question can be answered using either of the statements alone.c)The question can't be answered by either of the statements alone, but can be answered by using bothd)The question can't be answered by using both the statements together.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is the number X, divisible by 33?Statement 1: X-11 is divisible by 3 and X is divisible by 11Statement 2: The number formed by reversing the digits of X is divisible by 33a)The question can be answered using one of the statements alone and not by using the other statementb)The question can be answered using either of the statements alone.c)The question can't be answered by either of the statements alone, but can be answered by using bothd)The question can't be answered by using both the statements together.Correct answer is option 'B'. Can you explain this answer?.
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