What should come at the place of question mark? 3, 4, 13, 14, 45, 46, ?

Question

What should come at the place of question mark? 3, 4, 13, 14, 45, 46, ?

1. A. 143 (Correct answer)
2. B. 136
3. C. 140
4. D. 138

Correct Answer

Option A — 143

Detailed Solution & Explanation

The correct answer is 143.

Key Points

• The series alternates between two operations:
  • 3 +1 → 4, then 4 ×3 + 1 → 13
  • 13 +1 → 14, then 14 ×3 + 3 → 45
  • 45 +1 → 46, then 46 ×3 + 5 → 143
• The added constant in the multiplying step rises through the odd numbers 1, 3, 5, which is the pattern's second layer.

Additional Information

• Alternating series apply two different rules in turn; the giveaway here is the repeated "+1" producing consecutive pairs (3,4), (13,14), (45,46).
• When you spot pairs, treat the series as two interleaved sequences and analyse each separately — the first members 3, 13, 45 and the second members 4, 14, 46.
• A magnitude check is useful confirmation: the answer must be roughly three times 46, which immediately rules out 136, 138 and 140 as too small to fit the ×3 step.

प्रश्न (हिन्दी में)

प्रश्नवाचक चिह्न के स्थान पर क्या आएगा? 3, 4, 13, 14, 45, 46, ?

1. A. 143
2. B. 136
3. C. 140
4. D. 138