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How many times in a span of 24 hours are the hands of a clock straight that is either overlap or exactly opposite to each other?
In a span of 24 hours, the hands of a clock are in opposite directions exactly 22 times & hands of a clock coincide exactly 22 times in a span of 24 hours. Therefore, they are straight 22 + 22 i.e. 44 times in a span of 24 hours.
How is a 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. The angle is typically measured in degrees from the mark of number 12 clockwise.
What is the formula of clock?
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.
What is a clock problem?
Clock angle problems relate two different measurements: angles and time. The angle is typically measured in degrees from the mark of number 12 clockwise. The time is usually based on a 12-hour clock. A method to solve such problems is to consider the rate of change of the angle in degrees per minute.
What is the formula of clock in reasoning?
A clock is a complete circle having 360 degrees where 1 hour is equivalent t60 minutes, 1 minute is equivalent to 60 seconds, and 1 hour is equivalent to 3600 seconds….What is the Clock Reasoning Section?
| Hour Hand | 12 hours = 360 1 hour = 30 1 Minute = 0.5 |
|---|---|
| Second Hand | 60 Seconds = 360 1 Second = 6 |
At what time between 4 and 5 o’clock will the hands of a clock be at right angle?
To this the minute hand will have to gain ( 20 + 15 ) = 35 minutes; Now, 55 minutes of space is gained in 60 minutes. So, they are at a right angle at 38 2 11 minutes past to 4. Hence, the correct answer is 38 2 11 minutes past to 4.
How many times between 2 pm and 8 pm will both the hands of clock hour hand and straight line and opposite in direction?
Answers ( ) The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours.
What is clock algebra?
The mathematical way to say “in clock math” is just “working modulo 12”. This is our way of saying to consider 12 and 0 to be the same number. This method, doing the operation as usual and then subtracting or adding 12 until we have a number from 0 to 11, also works with multiplication.
How 55 minutes are gained in 60 minutes?
(In 60 minutes, hour hand will move 5 minute spaces while the minute hand will move 60 minute spaces. Thus, in every 60 minutes minute hand gains 55 minutes on the hour hand.
How soon after 2 o’clock will the hands of a clock form a 60 degree angle?
First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.
How do you solve clock problems How many times do the hands of a clock coincide in a day explain both?
Also, the hour and minute hand coincide only once between 11 and 1 o’clock i.e. at 12 o’clock. So, from both the above statements we can say that the two hands coincide exactly 11 times in a 12 hour span. times. So, the number of times the two hands coincide in a day is 22 times.
At what time between 12 and 1 o’clock both the hands will be at right angles?
Explanation : At 12 o clock the minute hand and hour hand coincide (i.e) they are 0° apart. Now, when the two hands are at right angles, they are 15 min. 55 minutes spaces are gained in = 60 min.
What is the time between 5.30 and 6?
To be at right angles between 5.30 and 6, the minute hand has to gain (25+15)=40 min spaces. 55 min. Spaces are gained in 60 min. min past 5, the hands of the clock are inclined at 90°.
How many times from 4pm to 10pm the hands are at right angles?
Solution. Explanation: Every hour the hands of a clock are at right angles twice i.e. in 6 hours (4 to 10) they would be right angles to each other 12 times.
How many times from 4 pm to 10 pm the hands of clock are at right angles?
What are clock problems?
Clock problems are the problems on the angle between clock’s hands. – what is the angle between the large (minute) clock’s hand and the small (hour) clock’s hand at a given time, for example, at 11:55 pm or 12:05 am? – how long does it take for the large hand and the small hand to get the same direction counting from a given time moment?
How to read the hands of a clock?
The above approach works fine but you need to mentally visualize the hands of the clock to get the proper sign (positive or negative) and value of the coordinates. See for example if the given time is 10:00 pm, the hands will be in straight line for the first time with the hour hand advancing the minute hand by 30 dials.
How many hands does a clock have?
Every clock would have two hands. The smaller one is called short hand or hour hand and the larger one is called long hand or minute hand. 3. The face of a clock would be a circle whose circumference is divided in to 60 equal parts called minute spaces
What is the angle between the hands of the clock?
After 1 hour, that is at 4:00 pm, the minute hand advanced the right hand by 330° – 90° = 240°, thus coordinates (60, 240) (a) Together for the first time: The angle between the hands of the clock is zero.