CUET UG 2025 — General Test Logical Reasoning

The angle between the hour and minute hands of a clock can be found using the formula:

Angle $= |30H - 5.5M|$=∣30H−5.5M∣

where $H$H is the hour and $M$M is the minutes.

If the angle is greater than $180°$180°, use $360° - \text{angle}$360°−angle.

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For (A) 2:20 p.m.:

$H = 2$H=2, $M = 20$M=20

Angle $= |30(2) - 5.5(20)|$=∣30(2)−5.5(20)∣

$$= |60 - 110|$$=∣60−110∣

$$= |-50|$$=∣−50∣

$$= 50°$$=50°

Therefore, (A) matches with (III)

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For (B) 3:10 p.m.:

$H = 3$H=3, $M = 10$M=10

Angle $= |30(3) - 5.5(10)|$=∣30(3)−5.5(10)∣

$$= |90 - 55|$$=∣90−55∣

$$= 35°$$=35°

Therefore, (B) matches with (I)

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For (C) 4:30 p.m.:

$H = 4$H=4, $M = 30$M=30

Angle $= |30(4) - 5.5(30)|$=∣30(4)−5.5(30)∣

$$= |120 - 165|$$=∣120−165∣

$$= |-45|$$=∣−45∣

$$= 45°$$=45°

Therefore, (C) matches with (IV)

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For (D) 5:40 p.m.:

$H = 5$H=5, $M = 40$M=40

Angle $= |30(5) - 5.5(40)|$=∣30(5)−5.5(40)∣

$$= |150 - 220|$$=∣150−220∣

$$= |-70|$$=∣−70∣

$$= 70°$$=70°

Therefore, (D) matches with (II)

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The correct matching is:

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

Therefore, the correct answer is Option 4.