CUET UG 2025 — General Test Logical Reasoning

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

Angle $= \left|11M/2 - 30H\right|$=∣11M/2−30H∣

where $M$M = minutes and $H$H = hours (in 12-hour format)

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For (A) 2:20 p.m., $H = 2$H=2 and $M = 20$M=20:

Angle $= \left|\frac{11(20)}{2} - 30(2)\right|$=​211(20)​−30(2)​

$$= |110 - 60|$$=∣110−60∣

$$= 50°$$=50°

This matches with (III)

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For (B) 3:10 p.m., $H = 3$H=3 and $M = 10$M=10:

Angle $= \left|\frac{11(10)}{2} - 30(3)\right|$=​211(10)​−30(3)​

$$= |55 - 90|$$=∣55−90∣

$$= 35°$$=35°

This matches with (I)

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For (C) 5:30 p.m., $H = 5$H=5 and $M = 30$M=30:

Angle $= \left|\frac{11(30)}{2} - 30(5)\right|$=​211(30)​−30(5)​

$$= |165 - 150|$$=∣165−150∣

$$= 15°$$=15°

This matches with (IV)

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For (D) 6:40 p.m., $H = 6$H=6 and $M = 40$M=40:

Angle $= \left|\frac{11(40)}{2} - 30(6)\right|$=​211(40)​−30(6)​

$$= |220 - 180|$$=∣220−180∣

$$= 40°$$=40°

This 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 3.