At what time between 2 oclock and 3 oclock will be the hour hand and minute hand of a clock be 12 minutes division apart?

283

Q:

Answer:   B) (10 + 10/11) min past 2

Explanation:

At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart. 

To be together, the minute hand must gain 10 minutes over the hour hand. 

Now, 55 minutes are gained by it in 60 min.

The hands will coincide at 101011 min. past 2.

I find it easiest to work problems involving the angle between the hands of a clock by measuring all angles relative to 12 o'clock. The arithmetic required to solve this kind of problem is based on the fact that the hour hand moves 1/12 of a revolution, or 30 degrees, in 1 hour (60 minutes), so its rate of rotation is 0.5 degrees per minute; and the minute hand moves one full rotation (360 degrees) in an hour (60 minutes), so its rate of rotation is 6 degrees per minute. You want to find the time between 2 and 3 o'clock when the minute hand is "12 minutes" ahead of the hour hand. 12 minutes is 1/5 of an hour; so you want the minute hand to be 1/5 of 360 degrees, or 72 degrees, ahead of the hour hand. At x minutes after 2, the angle the hour hand makes with 12 o'clock, in degrees, is

The Staff Selection Commission has released the admit card for all regions for Paper I of the SSC JE CE 2022 exam on 9th November 2022. Paper I of the SSC JE CE will be conducted from 14th November 2022 to 16th November 2022. Candidates can check out SSC JE CE Admit Card in the linked article. Candidates can refer to the SSC JE CE previous years' papers to analyze the pattern of the exam and important questions. The candidates who will clear the exam will get a salary range between Rs. 35,400/- to Rs. 1,12,400/-.