How to solve Clock Problems

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Can this minor-league pitch clock solve all of MLB’s problems?

“Within the ballpark, time moves differently, marked by no clock except the events of the game.” —Roger Angell, “The Summer Game”

“It’s a lot more enjoyable to be a part of a game that’s just over two hours than a game that’s close to four hours.” —Grant Judkins, pitcher for the Stockton Ports

Time never really flies, you know. Not in life. Especially not in baseball. It’s all relative. Tick-tick-tick.


So it isn’t quite true to say that time now flies in that minor league once known, in simpler times, as the California League. But time definitely ticks to a whole different beat these days.

You probably haven’t noticed, unless you’re a resident of someplace like Lake Elsinore or Rancho Cucamonga. But you know who has totally noticed? The office of the commissioner of baseball, where  everyone  has noticed.

And here’s the first thing they’ve noticed, since this league began experimenting with a 15-second pitch clock in June:

2021 Average Game Time, Low-A West League*

Before pitch clock: 3:02 After pitch clock:    2:41

(*Formerly the California League)

Wait. They’ve cut game times  by 21 minutes ? Yeah, they have. Could anyone possibly have known, even three months ago, that it would be possible to lop that many minutes off the average time of every baseball game, just by introducing one simple change — even if that change happens to be the tightest pitch clock in professional baseball?

That answer is no. But we know now. And it’s worth paying close attention, if only because the powers that be are paying even closer attention.

“It really is an incredible experience,” says long-time big-leaguer Raul Ibañez, who is one of the people overseeing this experiment (and lots more) in his new role as a senior vice president of on-field operations for Major League Baseball . “It feels like the baseball games that I grew up watching in the ’80s.”

On the other hand, you know what  doesn’t  feel like the baseball games he grew up watching in the ’80s? The baseball games that kids grow up watching now (or possibly not watching). Here’s why:

Time is relative, remember? So relatively speaking, it’s hard not to get fixated on these two trends:

•  In Major League Baseball, as that chart shows, the average time of a nine-inning game is  up  by nearly 20 minutes, just over the last 10 years — and by more than a half-hour since the ’80s.

•  In the Low-A West League, though, the average game time is down  by more than 20 minutes, just in the last three months, all since they flipped on their pitch clocks.

Hmmm. Any questions about why so many people who have witnessed 15-second-clock life with their own eyes are suddenly incredibly upbeat about their hot new experiment? Like Stockton manager Rico Brogna, for example.

“At first, I’d say I was skeptical,” says Brogna, who spent nine seasons playing first base in the big leagues not so long ago, “because I’m an old-fashioned,  it’s the only game without a clock,  kind of person. And I always thought that’s kind of neat and unique to baseball … But I have been shocked, surprised, and pleasantly, that it has been a really, really good addition.”

But zippier game times aren’t the only reason this rule has people rethinking that whole  Only Game without a Clock  mantra. It’s turned out that playing games with better rhythm and almost no dead time has had an impact on much more than the time of the postgame fist-bump line. Since the arrival of the clock, this league has also seen:

• More runs • More action • More homers • Fewer walks • Fewer strikeouts

So what the heck is happening here — and why? And is it possible that of all the experiments going on in the minor leagues and independent leagues, this is the one that could fix just about everything?

These are important questions. We’ve looked into them. So here’s everything you ever wanted to know about minor-league pitch clocks but never realized you’d ever want to ask.

The pitch clock is 15 seconds (17 seconds with runners on base), down from 20 seconds at the upper levels of the minors. Pitchers have 15 seconds to start their delivery. Otherwise, the umpire can call an automatic ball.

The batter is required to be in the batter’s box and “attentive” to the pitcher with eight seconds left on the clock. Otherwise, it’s an automatic strike.

Why pitch clocks work  

The first time I watched a Low-A West League game, thanks to the miraculous streaming options on, the first word that popped into my head was “rhythm.” These games have it. And once that becomes clear, you can’t stop yourself from being obsessed with it.

I watched a Sept. 7 game between the Stockton Ports and San Jose Giants. It started a little after 6:30 p.m. It was over at 8:47. You know how many nine-inning major-league games have been over in 2 hours and 13 minutes this year? That would be two — out of more than 2,000!

I could tell you in writing why that is, but it’s so much easier to show you through the magic of video. So I found a big-league game with a comparable first inning that also went down last week: Blue Jays at Orioles , Game 1 of their Saturday doubleheader.

Both the minor-league game and major-league game featured a scoreless top of the first inning and a two-run homer, for all the scoring, in the bottom of the first. Both games saw 24 pitches thrown in the inning. That’s where the similarities end.

Time of Low-A West League inning*: 8 minutes, 22 seconds Time of Orioles-Blue Jays inning*: 13 minutes, 48 seconds (*not including between-innings breaks)

So why would that big-league inning last nearly 5 ½ minutes longer than that minor-league inning? I had our high-tech guru, Eno Sarris, take a look. Then he produced this side-by-side video of the elapsed time between pitches in each of those games. See if you notice any difference (ho-ho-ho).

Two words: Dead time. With a 15-second pitch clock, every ounce of dead time was suctioned totally out of that minor-league game. Gone. And not missed. Like at all.

Rico Brogna: “The pitcher stays on the rubber. I mean, literally, the catcher throws it back, he gets the sign, and he’s in his delivery. It happens every pitch — for the entire game.”

Raul Ibañez: “It feels like a Cliff Lee versus Mark Buehrle matchup. It’s constant action.”

And it’s not only managers, coaches and folks watching in the seats who don’t ever think: “I wish they could inject more dead time back into these games.” It’s also players, because why wouldn’t they want to play in games with better rhythm?

Stockton catcher CJ Rodriguez: “More things are happening quicker. And there’s not those 30-minute periods of time when there’s nothing going on and you can go to the bathroom and you’ve missed nothing … (This) is how it should be.”

This is how it should be? Wow. But if it was just game time that was affected, how much would that really matter? What’s potentially more significant, though, is …

formula to solve clock problems

What else pitch clocks change

More   runs … higher batting averages … more homers … fewer strikeouts … fewer pitchers throwing ball four. All of that has happened since the pitch clocks began to tick. Here’s the data. See for yourself.

Maybe all those shifts toward more action were some kind of coincidence. We won’t know for sure until we see this clock in more leagues, in future seasons. But it’s safe to say it doesn’t seem like a coincidence to those who have paid attention. What’s harder to pinpoint is why the clock’s effect on the games has been this dramatic. Is it…

RHYTHM?  Is it possible that it actually helps hitters to spend less time fidgeting with their batting gloves, marching around the dirt, messing with pitchers’ timing? Maybe it does.

Rico Brogna: “Hitting is rhythm. There is a physical part of hitting, an energy, transfer of weight, transfer of motion. And if you stop your energy, or divert it in a different direction, I always thought it prevents you from being as good as you can be as a hitter.”

LESS VELOCITY?  The data doesn’t support the theory that pitchers delivering a pitch every 15 seconds lose velocity, because average fastball velocity without a clock (92.3 mph) and with it (92.4) is almost identical. But questions remain about that impact, despite the raw numbers.

Raul Ibañez: “I don’t think it did anything to the radar-gun fastball. But who knows if it did something to the pitch characteristics or the quality of the fastball.”

None of this is clear, at least not yet. But this is an area people throughout baseball remain highly curious about. And not just inside the Low-A West League.

One high-ranking AL executive:  “A pitch clock would address a lot of concerns. There’s no one silver bullet. But having to throw more pitches more quickly would reduce velocity (because of less recovery time). What you’d expect to see is less break, less velocity, more contact and quicker pace. So it would address a lot of concerns.”

In other words, if there really is a direct cause and effect, think about what this means. Isn’t it worth asking …

Could a pitch clock fix everything?

Let’s reflect on this. When we talk about what has happened in this league over the last three months, we are talking about a world in which…

• Baseball games take less time – a lot less, actually.

• Those games are cramming more offense and more action into a lot less time.

• And virtually everyone who has seen this raves about how much they enjoy watching a brand of baseball with a smoother pace and almost no dead time.

So could it be possible? Could just this one rule solve so many of baseball’s self-proclaimed problems — and produce the style of baseball we would certainly design if we were sculpting this sport from scratch here in the 21st century?

Yeah, well, sorry! Too soon to answer that question. But there’s a long list of people who would like to find out.

Raul Ibañez: “This is the most exciting development that I’ve seen, as far as impacting the game, as far as having a positive impact on the game of baseball.”

So bear that in mind. But before we get too excited, we should remember …

Big-league players still hate the clock

Ah, yes. None of this can happen, in the complicated world we live in, without players signing off on it. And that’s how it should be. None of this  should  happen without players giving their thumbs-up.

But how likely are they to do that, as another stormy labor negotiation looms? You know the answer. Major-league players are, by far, the most wary group of all, when it comes to pitch clocks.

Mets catcher James McCann is one of baseball’s most thoughtful players. As a hitter, he also takes more time between pitches with runners on base than all but a handful of men in the big leagues (29.2 seconds per pitch, according to Baseball Prospectus). And as a catcher, he leads a Mets staff that has a number of pitchers on the Most Time Between Pitches leader board.

So it’s no surprise that he told The Athletic ’s Tim Britton this week that he’s not a fan of pitch clocks. Not this clock. Not any kind of clock.

James McCann: “I think it’s ridiculous. One of the beautiful things about baseball is the fact that there is no time associated with it. There’s no way for the winning team to hold on to the ball a little bit longer and not let the opponent have a shot to come back and score. Every team gets the same amount of outs. For me, that’s something (special) about baseball, that there is no time factor.”  

McCann’s biggest reservation about clocks is one shared by many big-league players. This isn’t some beer-league softball game. This is the major leagues, and there’s a weight attached to every pitch that isn’t there in any other setting, including any minor league you want to study. So that time between pitches shouldn’t be rushed, they believe — for any pitcher, catcher or hitter, because there’s so much to process.

James McCann: “It’s huge. As a catcher, on defense, there’s a time period for me. I’m going through my head what our scenario is, how we’re going to attack this hitter. Then I have to put down a sign, and he agrees or disagrees with me, (so) there could be another sign.  

“From a hitter’s standpoint, I probably rank as one of the longest hitters to get in the box. I remember vividly having a conversation with Victor Martínez. I was young in Detroit. He was obviously a veteran who’d had a lot of success in his career. One of the things he talked about is: ‘This is your at-bat. Take your time. Do what you’ve got to do to get ready. This at-bat doesn’t go on the back of anyone’s baseball card but yours.’”

McCann has every right to think that, and all of us should understand why he does. But here’s something else to consider: He’s also among a shrinking percentage of big-league players who have been in the big leagues so long, all they know is life without a clock.

In the minor leagues, pitch clocks of some sort have been in place for the last  seven  seasons. It had only been in Double A and Triple A before this year. And those clocks are less aggressive (20 seconds per pitch with no one on base) than those Low-A West clocks. They also have more leeway than the Low-A West rule allows, which has let pitchers evade the dwindling clock digits by calling time or stepping off the rubber.  Nevertheless …

The number of hitters who have never played in one of those leagues with a clock is now down to slightly more than two per team. The number of pitchers who fit the same profile is around three per team.

Now let’s do that math. It essentially means that more than 80 percent of all players in the major leagues in 2021 have now played with some kind of pitch clock. So they know it’s possible. And it didn’t stop them from doing what they do successfully enough to make it to the big leagues.

So in time, shouldn’t the firm opposition of big-league players melt away? After all, some day, that number will be 100 percent, right?

James McCann: “It could be something that, over the course of time, it just becomes part of the game, as far as grandfathered in — and guys are so accustomed to it at the minor-league level that when they get to the big leagues, you don’t have to have a clock up there because guys’ routine is to get it and go.”

But meanwhile, there is also some level of curiosity building among big-league players about many of these minor-league rules experiments, and especially this one.

Andrew Miller, Cardinals reliever and member of the executive board of the players’ union: “My instinct is to be against any clock in the game of baseball. (But) I also see the other side and appreciate that dead time isn’t any good to watch, and cutting that down is good for the game. Ultimately for me, I think it’s great that there is a good experience being had in a testing ground so that we can learn from it.”

Then Miller added something of special significance: “The experience of players will be huge, though. And I would expect to lean on their experience with it when it does come up.”

So if they’re sincerely interested in what their peers who have had that experience would report …

What minor leaguers would tell big leaguers (so far)

See how helpful us sportswriters can be sometimes? Every once in a while, we show up and ask the big questions so players don’t have to. So, yeah, I volunteered for that heroic duty.

In this case, I asked two guys who play for the Stockton Ports — pitcher Grant Judkins, signed by the A’s in 2020 out of the University of Iowa, and catcher CJ Rodriguez, a 2021 fifth-round pick by the A’s out of Vanderbilt. For what it’s worth, Rodriguez did play with a clock at Vandy, but one that was rarely enforced. This is Judkins’ first go-round with a clock.

QUESTION NO. 1: Do hitters ever feel rushed by this clock?

CJ Rodriguez: “I like to work pretty quick. When I’m in the box, I try to take my time a little bit more. But when I’m catching, I try to work quick to keep the defense on their toes. I think if the game slows down, the pace gets really bad. The defense falls asleep. The fans fall asleep. And you want to keep everybody engaged. So I’m trying to keep the game going as fast as I can.”

QUESTION NO. 2: Is there any part of their between-pitch routine they had to give up because there wasn’t enough time?

CJ Rodriguez: “Honestly, no. I’m just kind of a straight up, I’m a there-to-do-my-job, kind of guy, and that’s it. So it didn’t really play a big role in what I do.”

The Athletic : So you still have time to tighten your batting gloves between every pitch?

Rodriguez: “Yeah, but that’s half a second. So it doesn’t really affect me.”


Grant Judkins: “Actually, there have been quite a few times where the pitcher either had to rush or the catcher had to call time because the hitter was taking too much time getting ready. So I guess it’d be nice to see that enforced more often to where it’s not always called on the pitcher because they’re waiting on the hitter. But do I feel rushed? I wouldn’t say that.”


  Grant Judkins: “It’s definitely hard when things aren’t going your way. You have to kind of slow down, think about what’s going on, how you can make an adjustment to fix it. So I mean, when things aren’t going well, it’s definitely harder. But when you’re in the groove and you’re pitching well, it kind of all just flows.”


Grant   Judkins: “I think it could be implemented in the big leagues in the future. I think they’d have to really make sure that it’s been used universally throughout the league in the same way, because one thing I’ve kind of run into is, it’s up to the scorekeeper, or whoever is running the clock. So … that could definitely be improved upon to make sure it’s the same everywhere you go. But if that’s the case, I think it definitely can be used in the big leagues.”

The Athletic : “How about the idea that in the late innings, with men on base, should there be a slightly longer clock than earlier in games, and with nobody on base?

Judkins: “I like the idea that it would be longer with people on base, but I think not necessarily. And I don’t think it shouldn’t matter what inning it is, because every inning’s important. Every inning matters. It doesn’t matter if you score early or late. You still can win the game. So I think definitely, with runners on, it should be more than without (runners on). But I think it should be the same no matter what inning it is.”


Raul Ibañez: “I would say that players — every player — would rather play a two-hour-and-30-minute game than a three-hour-and-15-minute game. If you ask them honestly, nobody wants to stand on the field for three hours and 30 minutes to play a nine-inning game. Nobody …

“So I actually think it’s going to be beneficial to all the players — hitters and pitchers. That constant action is going to be better — for focus, for intensity of focus, for crispness and for quality of play. And I also think there’s something to knocking 20 minutes off a game, times 162 games. That’s a lot of time, guys. That’s a lot of extra recovery time for players.”

Rico Brogna: “I’m a players’ union guy. I was a rep for two teams. So … I have a lot of different perspectives, and I understand a lot of different sides. But this one is easy. Believe me, it’s easy.”

All right, take a breath now, because it’s not that easy. It can’t possibly be easy. So finally, let’s ask:

Where do they go from here?

In baseball, it’s never simple to peer into the future and see it clearly. What lies ahead on the other side of the almost certain labor war to come? Not even the ghost of Marvin Miller could predict that. But here is what seems likely:

Barring some surprise agreement with the players on phasing in a clock, there would seem to be an excellent chance that by next season, every minor league is playing with a 15-second clock. MLB wouldn’t need union approval for that. And here’s why expanding this clock to all leagues seems obvious:

• Vastly increases the sample size so everyone can see if the impact on the game in the Low-A West League replicates itself on every level, in every way.

• Allows more players to experience life with a 15-second clock. Which gives big-league players more firsthand input, from fellow players, on the pros and cons.

Then, if the results are similar, it feels logical for MLB to approach the union to try to negotiate the arrival of this — or any sort of clock — in the big leagues in 2023, 2024 or pick a year that works. Players are a good bet to resist. We’ve seen this movie before. But here’s what people who have spent the summer living with this rule would like to see them try:

Keep an open mind — because amid the two gazillion rule experiments being tried out across the minor leagues, there might be more potential in this one, to pave a path for a better game, than all the others put together.

Rico Brogna: “I’ll admit that I’m still scared about the some of the other changes being talked about. But that’s one way to do it. You make 10 rule changes, but really, you’re just looking for the one … That’s why you experiment — to find out what works and what doesn’t.

“And this — this is the one. I mean it. This one’s OK.”

— The Athletic ’s Tim Britton and Eno Sarris contributed to this story.

(Top photo of a pitch clock in Grapefruit League spring training in 2019: Michael Reaves / Getty Images)

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Jayson Stark

Jayson Stark is the 2019 winner of the BBWAA Career Excellence Award for which he was honored at the Baseball Hall of Fame. Jayson has covered baseball for more than 30 years. He spent 17 of those years at ESPN and, and, since 2018, has chronicled baseball at The Athletic and MLB Network. He is the author of three books on baseball, has won an Emmy for his work on "Baseball Tonight," has been inducted into the Philadelphia Sports Hall of Fame and is a two-time winner of the Pennsylvania Sportswriter of the Year award. In 2017, Topps issued an actual Jayson Stark baseball card. Follow Jayson on Twitter @ jaysonst


Clock Angle Calculator

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Introduction to clock angle calculator

A clock angle calculator with seconds is an online tool that can calculate the angle between the minute and hour arm of the clock. It uses the angle from minute to hour hand and the hour-to minute hand formula to calculate grades. Clock degrees calculator calculates the angle between the arms of a clock by taking time as input from the user.

The clock angle concept is an exciting concept that can make geometry easy for most students. So we introduce angle between hour and minute hand calculator that can make the concepts of angles more interesting for students.

The formula used by clock hand angle calculator

The term clock angle calculator refers to the angle between the hour and minute hand of a clock. The angle clock calculator uses the following formulas to calculate the angle between the clock arms.

angle form to hour hand is = hours × 30 - (minutes - 5.5)

30 o = is the angle between two consecutive arms

5.5 o = is the angle between 2 minutes

angle from hour to min is=360-angle from min to hours hand

Where 360 is the total angle of the clock.

How to calculate the clock angle of 3:20?

You can calculate clock angle between hour 3 and minutes 20 with angle of clock hands calculator as:

$$ hour \;=\; 30^o \;×\; 3\; =\; 90^o $$

Since the angle between hours is 30 degrees.

$$ minutes \;=\; 5.5 \;×\; 20 \;=\; 110^o $$

So the angle from minutes to hours is:

$$ angle \;from \;minutes \;to \;hour \;=\; 110 \;-\; 90 \;=\; 20^o $$

How to use angle between clock hands calculator?

This minute of angle calculator makes it easy to calculate the angle between clock arms. You need to follow the given steps:

Clock hands angle calculator will show step-by-step solution within a few seconds of clicking on the calculate button.

Why use Hour Angle Calculator?

A digital tool is more beneficial than solving problems by hand. The clock hand angle calculator is made to evaluate the issues related to clock angles. It can make the concept of angle easier than the other methods, like finding the angle using the sides of the triangle. It is the smart way to use such an online tool.

The clock angle calculation is an essential concept in understanding geometry. It is the basics of mathematics. But when you are calculating it manually, there are a lot of chances of error. Many students got confused while calculating the angle from minutes to hours and vice versa. So it would be helpful for you if you use the clock hands calculator .

Benefits of using Clock Arm Angle Calculator

Calculatores offers you a fantastic tool that can solve the given problem in such a way that is helpful for students and mathematicians. You can get many other benefits by using a clock angle calculator . Some of these are:

Other Related Tools

What are the degrees on a clock?

Since the clock is of a circle shape so there are 360 degrees on a clock.

What is the angle between 1 and 3 hours?

The angle of an hour is about 30 degrees. So the angle between 1 and 3rd hour is 30+30=60 degrees.

Is angle formed by clock hands calculator accurate?

Yes, clock time to degrees calculator is accurate and efficient. It provides you step by step results instantly.

Alan Walker

Alan Walker

Studies mathematics sciences, and Technology. Tech geek and a content writer. Wikipedia addict who wants to know everything. Loves traveling, nature, reading. Math and Technology have done their part, and now it's the time for us to get benefits.


A clock has three hands – Hour Hand (Smallest in size), Minute Hand, and Second Hand.

For hour hand ,

formula to solve clock problems

For minute hand ,

formula to solve clock problems

From the above conclusions, if we intend to find the relative speed of the minute hand with respect to the hour hand h 1 min, then it will be 

formula to solve clock problems

That means, 

In 1 min, the gap between the minute hand and the hour hand will increase or decrease by 

formula to solve clock problems

Relative Speed of Minute Hand (faster) with respect to Hour Hand 

formula to solve clock problems

There are three types of questions that come in SSC state level exams and other competitive exams having general intelligence –

#   Calculation of Angle between Hour and Minute Hands from a given time

#   Calculation of Exact Time within a given time interval and a given Angle between Hour and Minute Hands

#   Miscellaneous 


There are two approaches to solve this type of question –

1. Ordinary Method

2. Formula Method

Suppose the given time is  8:15 PM

The minute hand is on ‘3’ and the hour hand is on ‘8’. But actually, the hour hand is slightly away from 8. The reason is that when the minute hand on 8.00 PM traveled towards ‘3’, then the hour hand moved slightly away from ‘8’.

formula to solve clock problems

So, the angle subtended between ‘8’ and ‘3’ is –

formula to solve clock problems

This is a very important formula required in solving most of the clock problems.

Here, H = 8 and M = 15, A = Angle

formula to solve clock problems

Q1) The reflex angle between the hands of a clock at 10 : 30 is:

formula to solve clock problems

By Ordinary Method:

formula to solve clock problems

As the hour hand moves away from ‘10’ when the minute hand travel from 10 : 00 to 10 : 30. 

In addition to that, the hour hand moves away from the minute hand, 

formula to solve clock problems

By how much greater?

formula to solve clock problems

Option (c).

By Formula Method

formula to solve clock problems

Q2) The reflex angle between the hands of a clock at 4 : 40 is:

formula to solve clock problems

Here the hour hand moves towards the minute hand, 

formula to solve clock problems

By how much?

formula to solve clock problems

Option (b).

formula to solve clock problems

Here, the formula method is the time-saving method, which is essential for any competitive exam. Hence, from now on we will avoid the conventional approach to save our valuable time.


formula to solve clock problems

A = θ for the first time and second time. 

For the first θ angle,

formula to solve clock problems

For the second θ angle,

formula to solve clock problems

‘Subtraction’ for first θ

‘Addition’ for second θ

Q1) At what time between 6 : 00 to 7 : 00  o’clock both hands of the clock coincides?

formula to solve clock problems

Q2) At what time between 7 : 00 to 8 : 00  o’clock both hands of the clock be in a straight line but not together?

formula to solve clock problems


In this type, questions come on the frequency of occurring a particular situation in which the two hands either coincide or make an angle in 12 hrs or in a day, i.e. 24 hrs.

To do this, the below table must be referred:

formula to solve clock problems

From the above chart, some important points are noted here as follows:

#   Both hands of the clock coincide one time in one hour but 11 times in 12 hours or 22 times in 24 hours.

#   Both hands of the clock opposite one time in one hour but 11 times in 12 hours or 22 times in 24 hours.

#   Both hands of the clock right-angled twice in one hour but 22 times in 12 hours or 44 times in 24 hours.

#   Both hands of the clock acute-angled or reflex – angled twice in one hour but 22 times in 12 hours or 44 times in 24 hours.

#   In 24 hours, both hands of the clock lie 44 times in a straight line, 

formula to solve clock problems

WTSkills- Learn Maths, Quantitative Aptitude, Logical Reasoning

Clock logical Reasoning solved problems

In this post we will discuss logical reasoning questions related to clocks. Clock is one of the important chapter of verbal ability syllabus and lot of questions are frequently asked in the competition exams.

In order to solve questions fast, try to draw picture in your mind how clock needles move 1. Minute hand travels 360 degree in 60 minutes ==> So, Minute hand moves 6 degree in 1 minute 2. Hour hand moves 360 degree in 12 hours ==> So, Hour hand moves 30 degree in 1 hour ==> Also, Hour hand moves 0.5 degree in 1 minute

clocks logical reasoning questions

Try to remember the above points, it will help you solve questions faster.

Clock Questions Verbal Ability

(Q.1) The minute hand of clock overtakes the hour hand at intervals of 64 minute of correct time. How much a day clock gain or lose ? (a) 360/11 minutes (b) 360/12 minutes (c) 360/13 minutes (d) 360/14 minutes

Remember that in ideal watch, the minute hand overtakes hour hand in 65\frac { 5 }{ 11 } minutes

How to solve clock logical reasoning questions

But in this watch minute hand overtakes hour hand in 64 minutes This means that the watch is moving fast

Clock quantitative aptitude questions for competition exams like GRE, GMAT, SSC, CAT, NMAT, VMAT, IBPS, SBI po,

Hence for every 64 minutes, the clock is moving 16/11 minute fast

==> In 64 minutes clock gains => 16/11 minutes ==> In 1 minute clock gain=> 16/11 * 1/64 ==> In 1 day clock gains => 16/11 * 1/64 * 60 *24 minutes ==> 360/11 minutes

Hence in 1 day, the clock gains 360/11 minutes option (a) is the right answer

(Q.2) A clock is set right at 8 a.m. on Sunday. It gains 8 mins in 24 hours. What is the correct time when the clock indicates 9 p.m. on upcoming Sunday ?  

(a) 9 PM (b) 8 PM (c) 11 PM (d) 7 PM

Total hours from Sunday  8 a.m. to next Sunday 9 PM = 181 hours

Important clock questions fully solved

According to question the clock gains 8 min. in 24 hours ==>24 hours ideal time => clock gained 8 mins ==> 24 hours ideal time ==> 24 hours + 8 mins (clock time) ==> 24 hours + 8/60 hrs ==> 362/15 hours

Hence in 24 hours, the clock covers 362/15 hours So, in 1 hour, the clock gained ==> \frac { 362 }{ 15 \quad \times \quad 24 } Now in 181 hours, the clock covers ==> \frac { 362\quad \times \quad 181 }{ 15\quad \times \quad 24 } ==> 182 hours

So in this time period, our clock is fast by = 182-181 = 1 hours From the above calculation we can see that in the given time period, the clock is fast by 1 hour so on next Sunday, if the clock is showing 9 PM, it means that the actual time is ==> 9 – 1 => 8 PM

So, 8 PM is the real time option (b) is the right answer

Q.3 A clock is set right at 10 a.m. on Sunday it loses 8 mins. In 24 hours. What is the correct time when the clock indicates 9 p.m. on next Sunday ?

(a) 9 PM (b) 8 PM (c) 11 PM (d) 10 PM

Total hours of clock from 10 a.m. Sunday to 9 p.m. on following Sunday = 179 hours

Clocks questions, tricks, problems and solutions

According to question , the looses 8 min in 24 hours In 24 hours ideal time, the clock covers => 24 hours – 8 min. = 23 hours 52 min. ==> 23 + 52/60 ==> 345 + 13 / 15 => 358/15 hours of given clock Hence in 24 hours, the clock covers = 358/15 hours 358/15 hours of given clock = 24 hours of correct clock 1 hour of given clock =  24 X 15/358 hours of correct clock

179 hours of given clock = 24X15X179 / 358 = 180 hours of correct clock

It means 1 hour more

Correct time = 9 p.m. + 1 hour = 10 p.m. Option (d) is the right answer

(Q.4) A watch which gains uniformly is 4 min. slow at 9 a.m. on Sunday, and is 4 min 15 sec. fast at 9 p.m. on upcoming Friday. When was it correct ?  

(a) 1:00 AM (b) 4:00 AM (c) 5:00 AM (d) 2:00 AM

Time period is between Sunday 9 a.m. and upcoming Friday 9 p.m. (total 132 hours)

Total watch gains 4 min + 4 min 15 sec => 8 min 15 sec Converting into minutes ==> 8 + 15/60 = 8 + ¼ = 33/4 min.

Hence in 132 hours the clock gained 33/4 minutes Total hours = 132 hours

33/4 min gain in 132 hours 1 minute gain in = 132 X 4 / 33 hours

As the clock was slow 4 minutes, total time taken to get into right time 4 minute gain in==> 132 X 4 X 4 / 33 ==> 64 hours

Hence in 64 hours, the clock will gain 4 minute and get into right time 9 a.m. Sunday + 64 hours = 9 a.m. Sunday + 2 days 16 hours = 1 a.m. Wednesday

(05) After 9’0 clock at what time between 9 p.m and 10 p.m will the hour and minute hands of a clock point in opposite direction?

(a)15 minutes past 9 (b)16 minutes past 9 (c) 16 \frac{4}{11} minutes\ past\ 9 (d) 17 \frac{4}{11} minutes\ past\ 9 \\ \\ Read Solution Using the Formula \theta =30H-\frac{11}{2} M Where H = Hour Hand M = Minute Hand \theta = Angle between Minute hand and Hour hand

(06) At what time are the hand of clock together between 6 and 7?

To overlap the minute hand has to gain 30 minutes.

We know that: In 60 minutes, Minute hand cover 360 degrees, In 60 minutes, Hour hand cover 30 degrees, Hence in every 60 min. minute hand cover 330 degrees more than the hour hand Also, 330 degrees = 55 min. in clock So, in every 60 min. minute hand is 55 min. ahead of hour hand

So the hands will overlap e 32\frac{8}{11} minutes past 6

Option (a) is the right answer

(07) A clock goes fast by one minute during the first hour, by two minutes at the end of second hour, by 4 minutes at the end of 3 rd hour, by 8 minutes by the end of 4 th hour, and so on. At the emd of which hour, will it be fast by just over sixty minutes? a)  fifth  b) sixth  c) seventh d) eighth

(08) A clock goes slow from midnight by 5 min. at the end of the 1st hour, by 10 min. at the end of the 2nd hour, by 15 min. at the end of the 3 rd hour and so on. What will be the time by this clock after 6 hours?

a) 6:00am   b) 5:30am  c) 6:30am  d) 5:15am

(09) A clock only with dots marking 3,6,9 and 12 0′ clock positions has been kept upside down in front of mirror. A person reads the time in the reflection of the clock as 12:30. What is the actual time?

(a) 12 O’ clock  (b) 12:30 (c) 6 O’ clock              (d) 03:45

For actual Time we have to subtract 12:30 from 17:90, because both hands of clock are between 6 to 12.


Concept : If hour hand lies between 6 to 12 and minute hand is lies between 6 to 12 then we have to subtract time from 17:90 to get actual time.

Option (c) is the right answer

(10) A clock only with dots marking 3,6,9 and 12 0′ clock positions has been kept upside down in front of mirror. A person reads the time in the reflection of the clock as 9.50. What is the actual time?

(a) 2:15  (b) 8:40 (c) 8:50 (d) 4:15

For actual Time we have to subtract 9:50 from 17:90, because both hands of clock are between 6 to 12. 17:90 – 9:50 = 8:40

Concept: If hour hand lies between 6 to 12 and minute hand is lies between 6 to 12 then we have to subtract time from 17:90 to get actual time. Option (b) is the right answer

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