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UGC-NET-Paper1

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Find the number that can replace the question mark (?) in the series given below: 4,27, 16, 125, 36, ? , 64, 729

1. 343
2. 81
3. 49
4. 161

उस संख्या का पता लगाएं जो नीचे दी गई श्रृंखला में प्रश्न चिह्न (?) को बदल सकता है:
4,27, 16, 125, 36 ,? , 64, 729

1. 343
2. 81
3. 49
4. 161
This Question came in
UGC-NET-Commerce-07-January-2025-Shift-1-Q10
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Detailed Explanation & Answer
The series is: 4, 27, 16, 125, 36, ?, 64, 729

Split into two alternate sequences:

First sequence (1st, 3rd, 5th, 7th numbers):
4, 16, 36, 64 — these are perfect squares (2², 4², 6², 8²)

Second sequence (2nd, 4th, 6th, 8th numbers):
27, 125, ?, 729 — these are perfect cubes (3³, 5³, ?, 9³)

So the missing number is 7³ = 343
श्रृंखला है: 4, 27, 16, 125, 36, ?, 64, 729

दो वैकल्पिक अनुक्रमों में विभाजित करें:

पहला अनुक्रम (पहला, तीसरा, पांचवां, सातवां अंक):
4, 16, 36, 64 — ये पूर्ण वर्ग हैं (2², 4², 6², 8²)

दूसरा अनुक्रम (दूसरा, चौथा, छठा, आठवां अंक):
27, 125, ?, 729 — ये पूर्ण घन हैं (3³, 5³, ?, 9³)

अतः लुप्त अंक 7³ = 343 है
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