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UGC-NET-Paper1

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Statement I: (0.5625)10 = (0.9)16
Statement II: (0.3)10 = (0.4BBB....)16

(1) Both Statement I and Statement I are correct
(2) Both Statement I and Statement II are incorrect
(3) Statement I is correct but Statement II is incorrect
(4) Statement I is incorrect but Statement 11 is correct

कथन I: (0.5625)10 = (0.9)16
कथन II: (0.3)10 = (0.4BBB....)16

(1) कथन I और कथन I दोनों सही हैं
(2) कथन I और कथन II दोनों गलत हैं
(3) कथन I सही है लेकिन कथन II गलत है
(4) कथन I गलत है लेकिन कथन 11 सही है

This Question came in

UGC-NET-Law-14-December-2023-Shift-2-Q37

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Detailed Explanation & Answer

(0.9)16 = (?)10
=> 9x16^-1
=> 9/16
=> 0.5625
Hence, statement I is true

(0.3)10 = (?)16
=> 16 x 0.3 = 4.8
=> 16 x 0.8 = 12.8 (C)
=> 16 x 0.8 = 12.8 (C)
=> 0.4CCC...
Hence, statement II is false

(0.9)16 = (?)10
=> 9x16^-1
=> 9/16
=> 0.5625
इसलिए, कथन I सत्य है

(0.3)10 = (?)16
=> 16 x 0.3 = 4.8
=> 16 x 0.8 = 12.8 (सी)
=> 16 x 0.8 = 12.8 (सी)
=> 0.4CCC...
इसलिए, कथन II गलत है

The Correct Answer is 3

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