CAT 2023 Slot 1 QA Question 8

Multiple choice (+3 / −1) · Arithmetic · Time, Speed & Distance · Try it, then check the answer and solution below.

The minor angle between the hours hand and minutes hand of a clock was observed at 8:48 am. The minimum duration, in minutes, after

8.48

am when this angle increases by

50 \%

⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution

Official Convenor Answer Key: A

Answer and solution

Answer: A) $\frac{24}{11}$

📌 Core Concept & Formula

The angle between the hour and minute hands of a clock at any time

H:M

is given by: \[ \theta = \left| 30H - 5.5M \right| \

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