Find the number that can replace question mark (?) in the series given below:
3, 8, 15, 24, 35, 48, ?नीचे दी गई श्रृंखला में प्रश्नवाचक चिह्न (?) के स्थान पर आने वाली संख्या ज्ञात कीजिए:
3, 8, 15, 24, 35, 48, ?

1. A62
2. B65
3. C63
4. D73

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Correct answer: C. 63

Explanation

The differences are 8−3 = 5, 15−8 = 7, 24−15 = 9, 35−24 = 11, 48−35 = 13 — consecutive odd numbers. The next difference is 15, so the term is 48 + 15 = 63. (Equivalently each term is n² − 1: 2²−1, 3²−1, … , 8²−1 = 63.)अंतर हैं 8−3 = 5, 15−8 = 7, 24−15 = 9, 35−24 = 11, 48−35 = 13 — क्रमागत विषम संख्याएँ। अगला अंतर 15 है, अतः पद = 48 + 15 = 63। (समान रूप से प्रत्येक पद n² − 1 है: 2²−1, 3²−1, …, 8²−1 = 63।)