3+33+333+3333+... या क्रमाने वाढत जाणाऱ्या या मालिकेत एकूण नऊ पदे आहेत. त्यांची बेरीज केल्यावर बेरजेत दशक स्थानी कोणता अंक येईल ?

The correct answer is Option C (6).

Key Points:
• Number Properties and Digit Addition:
• Step-by-step arithmetic computation:
• 1. The series consists of 9 terms: 3, 33, 333, ..., 333333333.
• 2. Units Place:
• The digit '3' appears in the units place of all 9 terms.
• Sum of units digits: 9 × 3 = 27.
• Units digit = 7, with a carry-over of 2 to the tens place.
• 3. Tens Place:
• The digit '3' appears in the tens place of 8 terms (from 33 up to the 9th term).
• Sum of tens digits: 8 × 3 = 24.
• Adding the carry-over 2: 24 + 2 = 26.
• Tens place digit = 6, with a carry-over of 2 to the hundreds place.
• 4. Hence, the digit at the tens place is precisely 6.
• Key Takeaway: Units sum = 9 × 3 = 27 (carry 2); Tens sum = 8 × 3 + 2 = 26, so the tens digit is 6.