Question:
Is p a prime number?
I) p is an odd number
II) p is not divisible by any number other than 1 and itself.
Is p a prime number?
I) p is an odd number
II) p is not divisible by any number other than 1 and itself.
I) p is an odd number
II) p is not divisible by any number other than 1 and itself.
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The definition of a prime number is its only necessary and sufficient condition.
Updated On: Jun 26, 2026
- Statement I alone is sufficient
- Statement II alone is sufficient
- Statements I and II together are sufficient
- Statements I and II together are not sufficient
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The Correct Option is B
Solution and Explanation
Step 1: Concept
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers; it is only divisible by 1 and itself.
Step 2: Analysis of Statement I
'p' is an odd number. Some odd numbers are prime (3, 5), and some are not (9, 15). Not sufficient.
Step 3: Analysis of Statement II
'p' is not divisible by any number other than 1 and itself. This is the exact definition of a prime number. Statement II alone is sufficient.
Step 4: Conclusion
Statement II alone is sufficient, so the answer is (2). Final Answer: (2)
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers; it is only divisible by 1 and itself.
Step 2: Analysis of Statement I
'p' is an odd number. Some odd numbers are prime (3, 5), and some are not (9, 15). Not sufficient.
Step 3: Analysis of Statement II
'p' is not divisible by any number other than 1 and itself. This is the exact definition of a prime number. Statement II alone is sufficient.
Step 4: Conclusion
Statement II alone is sufficient, so the answer is (2). Final Answer: (2)
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II) Rahul's brother, who was born in 1964, is 35 years younger to his mother. - Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights?
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