Number series (primes): 11, 13, 17, 19, 23, 29, 31, 37, 41, (…) Identify the next term that correctly continues this prime-number sequence.

Introduction / Context:
This question tests recognition of prime-number sequences in quantitative aptitude. Primes are integers greater than 1 with exactly two positive divisors: 1 and the number itself. Spotting primes and continuing a prime sequence is a foundational skill for many number series problems.

Given Data / Assumptions:

• Sequence provided: 11, 13, 17, 19, 23, 29, 31, 37, 41.
• Terms are strictly increasing and appear to be consecutive primes in ascending order.
• We must find the next prime after 41.

Concept / Approach:
To extend a prime sequence, test successive integers after the last term for primality (no divisors other than 1 and itself). Typical quick checks include divisibility by small primes (2, 3, 5, 7).

Step-by-Step Solution:

Verification / Alternative check:
List known consecutive primes around 40: 37, 41, 43, 47. The next after 41 is indeed 43.

Why Other Options Are Wrong:

• 47, 53: These are primes but not the immediate next prime.
• 51: Composite (51 = 3 * 17).

Common Pitfalls:
Confusing “any prime” with “next prime.” Always ensure immediacy in ordered prime sequences.

Final Answer:
43