A. 5:20
B. 6:20
C. 4:21
D. 7:12

Background of Clock Problems in Mathematics

Clock problems are frequently asked in aptitude and competitive examinations. They involve understanding the relative speeds of the hour hand and minute hand of an analog clock. Questions typically ask when the hands coincide, are at right angles, or are opposite each other.

The minute hand moves faster than the hour hand and gains 55 minutes every hour. Mathematical formulas make solving such problems straightforward and are commonly tested in CSS, PMS, FPSC, PPSC, NTS, banking, and military examinations.

Important Key Facts about Clock Problems

• Correct Time: Approximately 4:21:49.
• Formula Used: (60 × H)/11.
• Minute Hand Speed: 6° per minute.
• Hour Hand Speed: 0.5° per minute.
• Relative Speed: 5.5° per minute.
• Clock problems are among the most frequently repeated aptitude questions.

Exam Relevance: Clock Problems, Time and Work Mathematics, Quantitative Aptitude, CSS, PMS, FPSC, PPSC, NTS, OTS, FIA, MOD, ASF, ISSB, Banking Tests, Lecturer Tests, and Competitive Examinations.