यदि दो क्रमागत सम संख्याओं का योग 66 है, तो छोटी सम संख्या है:

Question

यदि दो क्रमागत सम संख्याओं का योग 66 है, तो छोटी सम संख्या है:

1. A. 34
2. B. 32 (Correct answer)
3. C. 42
4. D. 24

Correct Answer

Option B — 32

Detailed Solution & Explanation

The correct answer is 32.

Key Points

• Consecutive even numbers differ by 2. Let them be x and x + 2 → 2x + 2 = 66 → x = 32.
• The pair is 32 and 34, so the smaller is 32.

Exam Tip

• For any two consecutive even (or odd) numbers, the smaller = (sum − 2) ÷ 2.

Additional Information

• For three consecutive even numbers, the middle one = sum ÷ 3, which makes such questions instant.
• The sum of two consecutive even numbers is always even but not divisible by 4; the sum of two consecutive odd numbers is always divisible by 4 — a quick sanity check on the options.