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UGC-NET-Paper1

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Read the Question carefully and choose the correct option.

Match the column:
A. The numerator of a fraction is increased by 25% and the denominator is increased by 50% leading to a value of 5/3. The original fraction is ___
B. 4 1/3 - 3 1/2 = ___
C. The fraction equivalent to 40% is ___
D. 0.064/(3.25 x 3.20 - 3.20 x 3.05)

1. 1/10
2. 2/5
3. 5/6
4. 2/1

1. A-II B-III C-IV D-I
2. A-III B-II C-IV D-I
3. A-IV B-III C-I D-II
4. A-IV B-III C-II D-I

स्तंभ का मिलान करें:
A. किसी भिन्न के अंश में 25% की वृद्धि की जाती है तथा हर में 50% की वृद्धि की जाती है, जिससे 5/3 का मान प्राप्त होता है। मूल भिन्न ___ है
B. 4 1/3 - 3 1/2 = ___
C. 40% के समतुल्य भिन्न ___ है
D. 0.064/(3.25 x 3.20 - 3.20 x 3.05)

1. 1/10
2. 2/5
3. 5/6
4. 2/1

1. A-II B-III C-IV D-I
2. A-III B-II C-IV D-I
3. A-IV B-III C-I D-II
4. A-IV B-III C-II D-I

This Question came in

UGC-NET-English-27-June-2025-Shift-2-Q9

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Detailed Explanation & Answer

A. Let original fraction be x/y. After increasing numerator by 25%, numerator becomes 1.25x. Denominator increased by 50%, becomes 1.5y. New fraction is 5/3, so
(1.25x) / (1.5y) = 5/3
(1.25/1.5)(x/y) = 5/3
(5/6)(x/y) = 5/3
x/y = (5/3) / (5/6) = (5/3) × (6/5) = 2
So original fraction is 2/1 → matches IV

B. 4 1/3 - 3 1/2 = (13/3) - (7/2) = (26/6) - (21/6) = 5/6 → matches III

C. Fraction equivalent to 40% = 40/100 = 2/5 → matches II

D. 0.064 / (3.25 × 3.20 - 3.20 × 3.05) = 0.064 / (10.4 - 9.76) = 0.064 / 0.64 = 1/10 → matches I

A. मान लीजिए मूल भिन्न x/y है। अंश में 25% की वृद्धि करने पर अंश 1.25x हो जाता है। हर में 50% की वृद्धि करने पर 1.5y हो जाता है। नई भिन्न 5/3 है, अतः
(1.25x) / (1.5y) = 5/3
(1.25/1.5)(x/y) = 5/3
(5/6)(x/y) = 5/3
x/y = (5/3) / (5/6) = (5/3) × (6/5) = 2
अतः मूल भिन्न 2/1 है → मिलान IV

B. 4 1/3 - 3 1/2 = (13/3) - (7/2) = (26/6) - (21/6) = 5/6 → मिलान III

C. 40% के बराबर भिन्न = 40/100 = 2/5 → मिलान II

D. 0.064 / (3.25 × 3.20 - 3.20 × 3.05) = 0.064 / (10.4 - 9.76) = 0.064 / 0.64 = 1/10 → मेल खाता है I

The Correct Answer is 4

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