Find the odd term in 2, 5, 10, 50, 500, 5000 (consider divisibility and scaling patterns).

Introduction / Context:
When a set primarily comprises even numbers formed through scaling by 10 or by even factors, the lone odd number typically stands out. Here, quick parity and divisibility checks help isolate the odd term without over-engineering a complicated progression rule.

Given Data / Assumptions:

• Numbers: 2, 5, 10, 50, 500, 5000
• Parity: 2, 10, 50, 500, 5000 are even; 5 is odd
• Several terms form a scale-by-10 chain: 50 → 500 → 5000

Concept / Approach:
Use parity as the primary discriminator. Evenness is shared by all but one term; that exception is the odd number 5. Although various multiplicative links exist among the evens (notably powers of 10), 5 does not participate in those “even” continuations, making it the cleanest odd-man-out.

Step-by-Step Solution:
Check parity: 2(E), 5(O), 10(E), 50(E), 500(E), 5000(E)Thus 5 uniquely differs in parityAdditionally, from 50 onward each term is 10 times the previous; 5 does not lie on this scaling chain

Verification / Alternative check:
Modulo checks: 5 mod 2 = 1 (odd), while the others are 0 (even). Any alternative “multiply by 10” chain also excludes 5 as a member.

Why Other Options Are Wrong:
2/10/5000 are even and compatible with the evident scaling/ten-based pattern; they are not unique outliers.

Common Pitfalls:
Forcing a single ratio across the entire list; recognizing parity plus partial ten-scaling is sufficient to identify the anomaly.

Final Answer:
5