Multiple choice

Two same-sized clocks, one in London and another in India, show 7:00 am and 12:30 pm, respectively, at a given point of time. What will be the ratio of their minor sector areas at that time?

  1. 14 : 11

  2. 10 : 11

  3. 5 : 11

  4. 11 : 7

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The clock in London shows 7:00, where the minute hand is at 0 degrees and the hour hand is at 210 degrees, creating a minor sector angle of 150 degrees. The clock in India shows 12:30, where the minute hand is at 180 degrees and the hour hand is at 15 degrees, creating a minor sector angle of 165 degrees. Because the area of a sector is directly proportional to its angle, the ratio of their minor sector areas is 150:165, which simplifies to 10:11.