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UGC-NET-Paper1

Maths

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The missing two numbers in the following series are
1,4,3,16, 5,36, ?,?, 100,

1. 7, 50
2. 7, 64
3. 8, 72
4. 8, 81

निम्नलिखित श्रृंखला में अगली दो संख्या कया होंगी ?
1,4,3,16, 5,36, ?,?, 100,

1. 7, 50
2. 7, 64
3. 8, 72
4. 8, 81
This Question came in
UGC-NET-13-November-2020-Shift-1-Q16
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Detailed Explanation & Answer
Odd-Indexed Numbers (1st, 3rd, 5th, ...): 1, 3, 5, ?, ?
The next odd number is 7 (7th number)
The next odd number after that is 9 (9th number)

Even-Indexed Numbers (2nd, 4th, 6th, ...):
4, 16, 36, ?, 100
(2^2, 4^2, 6^2, ?, 10^2)
This is a sequence of perfect squares:
The next perfect square is 64 = 8^2

Thus, the missing numbers are 7 and 64.
विषम अनुक्रमित संख्याएँ (पहला, तीसरा, पाँचवाँ,...): 1, 3, 5, ?, ?
अगली विषम संख्या 7 (7वीं संख्या) है
उसके बाद अगली विषम संख्या 9 (9वीं संख्या) है

सम-अनुक्रमित संख्याएँ (दूसरा, चौथा, छठा,...):
4, 16, 36, ?, 100
(2^2, 4^2, 6^2, ?, 10^2)
यह पूर्ण वर्गों का क्रम है:
अगला पूर्ण वर्ग 64 = 8^2 है

इस प्रकार, लुप्त संख्याएँ 7 और 64 हैं।
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