# Clock Aptitude Formula, Clock Problem Shortcuts and Tricks

**Clock Important Questions - Page 2**

** Clock Video Lecture - Page 3**

* Clock: * The Face or dial of a watch is a circle whose circumference is divided into 60 equal parts, called minute spaces. A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called the minute hand or long hand.

## Clock Important Formulas

- In 60 minutes, the minute hand gains 55 minutes on the hour hand
- In every hour, both the hands coincide once.
- The hands are in the same straight line when they are coincident or opposite to each other.
- When the two hands are at right angles, they are 15 minute spaces apart
- When the hand's are in opposite directions, they are 30 minute spaces apart
- Angle traced by hour hand in 12 hrs = 360°.
- Angle traced by minute hand in 60 min. = 360°.
- Too Fast and Too Slow: If a watch or a clock indicates 8.15, when the correct time , 8 is said to be 15 minutes too fast.
*On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow.*

## Solved Examples for Clock Problem

**Question - 1:** The angle between the minute hand and the hour hand of a clock when the time is 4 : 20

**Solution:** Angle traced by hour hand in hrs =

Angle traced by min. hand in 20 min. =

Required angle = (130 - 120)º = 10º.

**Question - 2:** How many times are the hands of a clock at right angle in a day?

**Solution:** In 12 hours, they are at right angles 22 times.

In 24 hours, they are at right angles 44 times.

**Question -3:** How many times in a day, are the hands of a clock in straight line but opposite in direction?

**Solution:** The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o' clcok only).

So, in a day, the hands point in the opposite directions 22 times

**Question - 4: At what time between 9 and 10 o'clock will the hands of a watch be together?
Solution: To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces. 55 min. spaces gained in 60 min.**

45 min. spaces are gained in min

The hands are together at min past 9