# What is the formula for clock problems?

## What is the formula for clock problems?

Clock formula: 11/12. This is a very important point for solving aptitude questions on clocks. As minute hand covers one full circle i.e. 360 degrees in one hour, that means it travels 360/60 = 6 degrees/min. This 11/2 degrees will be useful in finding the angle between the two hands of the clock.

## How do you solve problems with a clock?

Solved Examples The angle between the hour hand and minute hand is = 120-110 = 10 degrees. Example 2: The angle between the minute hand and the hour hand of a clock when the time is 3:30 is: Solution:At 4:00, hour hand was at 90 degrees. The angle between the hour hand and minute hand is = 165-90= 75 degrees.

How would you solve clock and calendar problems in aptitude?

Counting of Odd Days

1. 1 ordinary year = 365 days = (52 weeks + 1 day.)
2. 1 ordinary year has 1 odd day.
3. 1 leap year = 366 days = (52 weeks + 2 days)
4. 1 leap year has 2 odd days.
5. 100 years = 76 ordinary years + 24 leap years = (76 × 1 + 24 × 2) odd days = 124 odd days.
6. Number of odd days in 100 years = 5.

What is clock formula?

Clock Formula: 60-minute space = 360° = 1 hour. 1-minute space = 6° = 1 minute. 5-minute space = 6° x 5 = 30° = 5 minutes. Right Angle or Perpendicular = 15-minute spaces apart. Right Angle or Perpendicular = 22 times in 12 hours or 44 times in 24 hours (1 day)

### How 55 minutes are gained in 60 minutes?

As you say, in one hour the minute hand moves 360∘, which the answer calls 60 minutes. In one hour, the hour hand moves 30∘, so the minute hand gains 330∘=55 minutes. In an hour the hour hand moves to a distance of only 5 minute spaces. But the minute hand moves to a distance of 60 minute spaces.

### What is the angle traced by hour hand in 15 minutes?

Since eachhour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees.

How is clock related to math?

Clocks are used to measure time. A clock in general has 12 numbers written on it, from 1 to 12, an hour hand, and a minute hand. Clock angle problems relate two different measurements: angles and time. A method to solve such problems is to consider the rate of change of the angle in degrees per minute.

What is reflex angle in clock?

Obtuse angle Between 90° and 180° Straight angle Exactly 180° Reflex angle Between 180° and 360°

#### Which year has the same calendar as 1700?

Type 3: Solve Quickly Calendar’s Ques. (Identify the year having same calendar.)

Year 1700 1701
Number of Odd days 1 1

#### How are 55 min spaces gained in 60 minutes?

Answer: In 60 minutes, minute hand gains 55 minute spaces over the hour hand. (In 60 minutes, hour hand will move 5 minute spaces while the minute hand will move 60 minute spaces. In effect the space gain of minute hand with respect to hour hand will be 60 – 5 = 55 minutes.)

Why 55 minutes are gained in 60 minutes?

In one hour, the hour hand moves 30∘, so the minute hand gains 330∘=55 minutes. In an hour the hour hand moves to a distance of only 5 minute spaces. But the minute hand moves to a distance of 60 minute spaces. Thus the minute hand gains (60-5)=55 minutes on the hour.

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