Angle traced by the minute hand in 1 minute is, Angle traced by the minute hand in 20 min is. Question - 2: How many times are the hands of a clock at right angle in a day? spaces behind the hour hand,minute hand must gain (20-15) = 5 minutes. 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From the above calculation, it is very clear that the hands point in opposite directions 11 times in 12 hours. The hands of the clock will form a right angle at around $$2h \ 25'$$. At what time between 2 and 3 o’clock will the hands of a clock be together? The minute hand (M.H.) At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions ? So, the angle between the hands is 267.5° - 240° = 27.5° at that time. Question - 1: The angle between the minute hand and the hour hand of a clock when the time is 4 : 20. Some facts about the basic analog clock. It is nothing but the minute spaces between the two hands. At what time (in minutes), between 3 o'clock and 4 o'clock, both the needles will coincide each other ? 2. is also called the long hand and the hour hand (H.H.) If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. These tricks will help you to solve clock problems in the competitive exam in less time. They are at right angles at 4 hrs 5 5⁄11 minutes. Here 30° = .360° is the angle between any two consecutive hour marks in the clock dial (clock-face). Also, the clock is divided into 60 equal minute divisions. At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not … 2. Apart from the stuff given above,  if you need any other stuff in math, please use our google custom search here. So, between 4 and 5 o'clock the hands of a clock point in opposite directions at 4 hrs 54 6⁄11 minutes. spaces ahead of the hour hand, minute hand must gain 5 minutes (20 + 15  =  35). If there is 15 minute space between the hour hand and minute hand, then they are at right angle. So, the hands would be at right angles at 4 hrs 5. if you need any other stuff in math, please use our google custom search here. Reasoning and General Intelligence – Clock And Calendar CLOCK. So they would be at right angle in the following two cases.Case 1 : When the minute hand is 15 min. How much larger a time interval does an identical clock held by an observer at rest on the ground measure? Angle traced by the hour hand in 1 hour is, 4 hrs 20 min  =  4 20⁄60  =  4 1⁄3  =  13/3 hrs. So, the reflex angle between the hands of a clock at 10.25 is 197 1⁄2°. How many times in a day, are the hands of a clock in straight line but opposite in direction ? 7. 2 to 3 ----> 2 times (right angle at 3'o clock included), 3 to 4 ----> 1 time (right angle at 3'o clock not included), 8 to 9 ----> 2 times (right angle at 9'o clock included), 9 to 10 ----> 1 time (right angle at 9'o clock not included). We know, minute hand moves $360^0$ in 60 mins and so moves $6^0$ in 1 min. Medium. Problem How soon after 5:00 o'clock will the hands of the clock form a (a) 60-degree angle for the first time, (b) 60-degree angle for the second time, and (c) 150-degree angle? They are at right angles at 4 hrs 382⁄11 minutes.So, the hands would be at right angles at 4 hrs 5 5⁄11 minutes and 4 hrs 38 2⁄11 minutes. As you can see, we have a problem with 1:50 because of the way we calculate angle difference. When the hands of a clock are in opposite directions, they are 30 minute spaces apart. Angle traced by min. What is the angle between the hands of a clock at 1 o'clock? Clock angle problems relate two different measurements: angles and time.The angle is typically measured in degrees from the mark of number 12 clockwise. 8. These angles are shown on the diagram below, where the angle in each yellow sector is 30$^{\text{o}}$ and the angle … Finding the measurement of angle B measured clockwise from the 12 o'clock position, Fig. The position of the hour hand between the clock’s numbers is crucial in this type of problem, as well as whether we want to include how far it has already traveled between the numbers or how far it still has to go to reach the next number. Clock problems are related to reasoning sections. 1. From the above calculation, it is clear that the hands are at right angle 22 times in 12 hours. If the two hands are coincident, and we want the minute spaces between them to be 10 minutes, then 10 minutes to be gained. 4. At 5.25, angle traced by the hour hand is 160° and the minute hand is 120°. Angle traced by the minute hand in 60 minutes is 360°. For detailed examples, please look at the problems given below. If the minute hand traces 60 minutes, the time will be 1'o clock. 40, the hour hand and the minute hand of a clock form an angle of A. Solution by Calculator Technique MODE → 3:STAT → 2:A+BX A. At 1 o'clock the minute hand (red) points to the 12 and the hour hand (blue) points to the 1. What is the angle between the hands of the clock at 7:20. If we want them to be at right angle, they have to be 15 min. However, you must take into account that in the half hour that has passed from 3:00 to 3:30, the hour hand has moved half the distance between the 3 and 4. Angle traced by minute hand in 1 minute is, 12. Find the angle of the hour hand from 12 o'clock. spaces between the hands for being opposite in directions. Using the concept of relative distance, the minute hand will cover = =165 degrees 446 106 Add to List Share. Find the angle between the hour hand and minute hand of a clock when the time is 4.20 ? This geometry & Trigonometry video tutorial explains how to solve clock aptitude problems with shortcuts and tricks provided. Submit Tips. spaces between hour hand and minute hand is 20. Practice Aptitude Clocks Problems or Questions that are frequently asked in exams and shortcuts to improve your problem-solving skills. If there is 10 minutes spaces between the two hands and we want them to be coincident, then 10 minutes to be gained. This problem is known as Clock angle problem where we need to find angle between hands of an analog clock at a given time. 8. The clock measures a time interval of 3600 s when the jet moves with speed 400 m/s. Solved Examples for Clock Problem. 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 … 9. So they would be at right angle in the following two cases. of minutes gained. No. 1 minute is gained in 12/11 minutes (see the notes). Angle traced by hour hand in 1 hour is, 10. Answer. Clock Problem Solution 2: At 20 minutes past 2 the minute hand points at 4 and has moved from zero position through an angle of $6^0\times{20} = 120^0$. A. In the above clock,  the two hands are coincident and the time is 12'o clock. 1. Clock Problems: Alarm clock angle Math Problems, Clock Angle problems with solutions, Clock Problems Shortcut formulas. 10(10/11)min. If the correct time is 9 and a clock indicates 8.45, it is said to be 15 minutes too slow. How many times are the hands of a clock at right angle in a day ? spaces behind the hour hand. Through how many radians do the minute and the hour hand move between 1:00 P.M. and 6:45 P.M. (on the same day)? When the minute hand is 15 min. In 24 hours, the hands are at right angle in 44 times. 75° B. The face of a clock would be a circle whose circumference is divided in to 60 equal parts called minute spaces. 85° C. 80° D. 70° Answer : A 8. = Difference between the angles traced by the two hands. Problem (CE Board Problems November 2016) What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark? We have to measure minute spaces from hour hand to minute hand in clock wise direction. = 360°. 3. If there is 30 minute space between the hour hand and minute hand, then they are in opposite directions. So, between 4 and 5 o'clock the hands of a clock point in opposite directions at 4 hrs 54, So, the reflex angle between the hands of a clock at 10.25 is. A clock has two hands: Hour hand and Minute hand. To be coincident, the minute hand must must gain 15 min.spaces. To fix that we need to take the difference between 360° and the absolute value of that negative value angle (in our case 360° - |-245°| => 115°).This operation will not have any impact on angle value whatsoever but will help us to get the correct numerical value. of minutes taken > No. In every hour, both the hands coincide once. The clock has 12 hours numbered from 1 to 12. Solution : Visualize the clock as a 360 degree circle.As we know that Hour handle completes 360 degree in 12 hours.In 1 hour or 60 minutes it complete 360/12 i.e. At 3. Math problem. Angle traced by hour hand in 12 hours is 360°. In 24 hours, they point in opposite directions in 22 times. spaces between hour hand and minute hand is 20.To be in opposite directions, there must be 30 min.spaces between the two hands. They point in opposite directions, there must be 30 min.spaces between the hour hand move 1:00... 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