10 most difficult riddles. The most difficult riddle in the world

Riddles not only help you learn something new, remember some feature of a phenomenon or object, but they can also make you laugh. At the same time, attentiveness and ingenuity develop.

Riddles with a trick (with answers)

Funny riddles are suitable for company. By the fire in the evening, on the veranda during the rain. The guys answer the leader’s question in unison. The most important thing is not to give a lot of time to think about the answer. Then everyone will have fun.

They are composed in such a way that the wrong answer falls into the rhyme. If you answer quickly, it turns out funny. The presenter corrects him, each time making a perplexed face: “Didn’t you know that?”

There is grief on the ice field, there is crying on the ice field.

Upset the goalie of the hockey players in the goal...

/No, not a ball, but a goal/

On the graceful head is a royal crown.

There is no more beautiful bird than this one, its name is...

/No, not a crow, but a peacock/

To the store with great hope

We came to buy clothes.

Our dad was able to try it on

A pair of mittens for...

/No, not for legs, but for arms/

Petya loves her very much

She chops the cabbage finely.

She seems to be two hundred years old,

This Petina...

/No, not the bride, but the turtle/

Old ladies go to the store to buy themselves...

/No, not toys, but dryers for tea/

The path has become drier - I have dry...

/No, not my ears, I have dry feet/

At night he looks out the window,

Poor lighting...

/No, not the sun, the moon is shining through the window/

They promised us frost - Pull your hat on...

/No, not on your nose, pull it tighter over your ears/

Wandered near the apiary

Clubfoot...

/No, not a crocodile. And not Mikhail, but just a bear/

Summer is getting closer,

We'll have it soon...

/No, not skis. We'll get roller skates/

The children fed daddy

They poured meat borscht for him.

Well, he admitted in a deep voice,

That he eats candy with...

/No, not with meat, but with nuts/

Very intently on us

Someone is looking into one eye.

And has one horn,

Who is this?

/No, not a rhinoceros. This is a one-horned cow winking/

Our dad is quick to decide, cutting the fabric takes...

/No, not an axe, the fabric is cut with scissors/

Now we will ask the kids:

Who is the cat afraid of?..

/No, the cat is not afraid of mice, but of dogs/

Caught a mouse and catches a second one

cunning redhead evil...

/No, cows don't catch mice. This is a fox/

Logic riddles

Not all children spend the summer in a camp where teachers work with them. For family vacation Slightly different riddles are suitable, the guessing of which does not require a cheerful crowd.

What kind of animal: a tail like a cat, a muzzle like a cat, but not a cat. Who is this?

You are sitting in the cockpit. Looks like you're in a car.

But there is a horse in front of you, and a galosh behind you. What kind of place is it?

/You are sitting on the carousel/

Older children will be interested in more complex problems. Mom and Dad can write them down on pieces of paper, fold them up and put them in a hat. Especially to help parents - logical riddles with answers, with a trick, funny:

When does it happen that a person finds himself in a room without a head?

/This happens if he stuck it out the window/

What is the same end of day and night?

/Soft sign/

When is the easiest time for a red dog to get into the house?

/When the door in the house is open/

For children's quiz

Not difficult questions for children's quiz does not have to be boring. While thinking about the answer, the guys enjoy the selection of options. There are very funny solutions. How can a teacher prepare for an event? Children's riddles with a trick with answers, funny:

On five aspen trees there are five branches, on each branch there are five pears. How many pears are there in total?

/Pears do not grow on aspen/

Seven oxen were running, how many tails did their necks have?

/Tails don’t grow at the neck/

Granny went to do laundry on the Oka River and met three men, each man had a box, and in each box there was a puppy. How much did it take to go to Oka?

/One granny/

In which month do chatty girlfriends talk the least?

/In February/

For your wits

When conducting the quiz “Clever and clever” or “What? Where? When?" You can’t do without seemingly simple questions. But everyone can hide a secret.

Two brothers are running ahead

Two of them are in a hurry.

But they can’t catch up with the first two,

Don't turn back.

/These are four wheels on a car/

By listening carefully, it is easy to guess the tricky riddles. With answers, funny options:

Masha collected 12 fly agarics, Petya - 2 less, and Kolya - 2 more. How many edible mushrooms do the guys have?

/No one/

What head grows without a nose?

/Cabbage/

Short riddles

Tricky, with answers, funny, short - these are the ones that are easy to remember. They can be wished for from the stage, choosing who will receive the prize. Here are some options:

It is small, gray,

Looks like an elephant. Who is this?

/Baby elephant/

What has never happened and will never happen, but actually exists?

/Today/

Which hand does a left-handed person or a right-handed person stir sugar in tea with?

/They stir the sugar with a spoon/

What can't you have for breakfast?

Imagine that you saw a green man. Your actions?

/You should cross the road/

Why is the cow lying?

/She lies down because she doesn’t know how to sit/

Why does a goose swim?

/He swims from the shore/

You have a ruler, eraser, compass and pencils. Where do you start to draw a circle?

/You don’t have any paper. Start by taking out the paper/

Name the stones that are not found in the river.

/There are no dry stones in the river, all are wet/

Who can speak all languages?

Trick riddles with answers, funny, difficult

And these questions will make some adults think too. Of course, there was a joke too. To develop imagination and humor - the following options:

Two riders argued: each claimed that he would come to the finish line last. They stood like that for a long time, not daring to give spurs to their horses. A man was passing by. They asked him for advice. After his words, they rushed like the wind. What did the passerby say to them?

/He said: “swap horses”/

Boys talk amazing stories which they were eyewitnesses. And then one says: “Yesterday my father forgot his umbrella and hat and came home soaked to the skin. But I was able not to wet a single hair on my head. He did not cover his head with his hands and did not pull his jacket over it.” Is this story really amazing?

/No, father shaves his head/

One man bet that he would place a bottle in the middle of the room and then crawl into it. It was a huge success. How did he do it?

/He crawled into the room, not into the bottle. They applauded him with laughter/

Of course, the guys already know some of the answers. But no one will refuse to remember riddles with a trick and funny answers. Yes, they are remembered better that way. And soon they will begin to quote them in order to defuse the tense atmosphere in the team. This is the culture of speech. This way, education goes unnoticed and fun even during the holidays.

If you want to have fun with your friends, then pick up as entertainment more difficult riddles with answers. In order to guess them, your guests will have to really rack their brains. By and large, such riddles are no different from simple riddles. It just takes more time to guess them. At first sight, difficult riddles may seem easy, but you should treat them carefully, because in this ease lies the catch. By practicing solving challenging puzzles, you will develop your thinking and creative imagination.

Children also love to solve complex riddles. Puzzles are perfect for little ones next type:

Without legs and without arms,
But he is still an artist.

Answer: frost.

Blue sky
Covered with silver.

Answer: starry sky

Red bun,
Blue scarf.
Rolling on a scarf
Smiles at people.

Answer: sun and sky

She was gray and white,
Came young, green

Answer: spring and summer


Complex logic riddles with answers

It's easy to pick up, but difficult to throw it far.

Answer: fluff.

What stones can you not find in the sea?

Answer: dry.

In France it is in second place, and in Russia it is in first place. What is this?

Answer: letter "R".

stood on the table can with lid. It hung 2/3 off the table. After some time, the can fell. What would it contain?

Answer: ice.


There were 16 apples growing on an oak tree. A strong wind blew and 10 apples fell. How many apples are left hanging on the tree?

Answer: apples do not grow on oak trees.

You are a participant in a competition and have overtaken the third runner. What score are you running now?

Answer: If you overtake the third runner, then you have taken his position. Accordingly, you run third.

You are a competitor and have overtaken the last runner. What position do you take now?

Answer: it is impossible to overtake the last runner, because that is why he is the last. The condition of the problem was initially set incorrectly.

Solve this example without using a calculator. Add 40 to 1000, then another 1000, then another 1000 and another 30. Add 20, 1000 and 10. What number did you get?

Answer: you should get 4100. If you get 5000, you counted incorrectly, check yourself on the calculator.

Christy's father has five daughters: Chocho, Chichi, Cheche, Chacha. What is the name of the fifth daughter?

Answer: Christy.


Difficult riddles with answers for adults

What can you see in a woman if she lifts her leg? Does it end with “A” or start with “P”?

Answer: heel

The most inquisitive ones will enjoy the hardest riddles for children.

What increases in size when you pick it up, pass it between your breasts, and stick it into a hole?

Answer: seat belt

In a Jew on the mind, in women - on the body, used on chessboard and in hockey?

Answer: combination.

He has a head, but no brains?

Answer: garlic, onion.

To fly - not to reach
To run - not to reach

Answer: horizon

Blue fur coat
Covered the whole world

Answer: sky

A white cat climbs into the window

Answer: rays of the sun

Gray boars covered the whole field

Answer: fog

Without legs and without arms,
And the gate opens

Answer: wind


Russian difficult riddles with answers

Looked out the window
Long Antoshka is walking there

Answer: rain

Hanging across the river
Scarlet rocker

Answer: rainbow

It won't drown in water,
It won't burn in fire

Answer: ice

Not land, not sea,
Ships don't sail here
And you can't walk

Answer: swamp

What does half a pear look like?

Answer: for the other half of the pear


Complex funny riddles with answers

2 nails fell into the water. What is the surname of a Georgian?

Answer: Rusted.

How does night and day end?

Answer: soft sign

Who can speak any language?

Answer: echo

Tell me what it is: with a mustache, big, blue, carrying hares?

Gray, small, looks like an elephant.

Answer: baby elephant

The granny is standing on the floor, her hole slightly open

Answer: stove

The hard part itself is inserted into the soft part. There are only balls dangling nearby...

Answer: earrings

This woman will first rub herself against you, and then demand money too...

Answer: conductor

Very difficult riddles with answers.

10 difficult riddles with answers.

1. One girl dropped her bracelet into a cup of coffee during breakfast. Why did he remain dry? Answer: there was no water in the cup, only instant or ground coffee.
2. This is given to us three times: the first 2 times are free, but for the third you will have to pay. Answer: teeth.
3. When do we look at the number 2 but say 10? Answer: when we look at the clock and the hand points to 10 minutes of some hour.
4. Imagine that there are two doors in front of you. One of them says “Happiness”, and the other says “Death”. Both doors are guarded by two identical guards. One of them constantly tells the truth, and the second constantly lies. You don't know which one is which. You can only ask the guards one question. What kind of question should this be so that you do not make a mistake in choosing a door? Answer: “If I ask you to show me the door leading to happiness, which door will the second guard show me?” After this question, choose the second door.
5. A man bought apples for 5 rubles per piece, but sold them for 3 rubles per piece. After some time, he became a millionaire. How did he do this? Answer: he was a billionaire.

6. You have plenty of water, as well as a three-liter and a five-liter jar. You need to fill a five-liter jar with exactly 4 liters of water. How to do it? Answer: fill a five-liter jar with water, pour water from it into a three-liter jar. Pour water from a three-liter jar, pour 2 liters of water from a five-liter jar into it. Fill a five-liter jar with water, pour water from it into a three-liter jar of water, where there is just the required amount of space left.
7. Imagine that you are sitting in a boat floating in a pool. The spoon itself contains a cast iron anchor, which is not attached to it. If you drop an anchor into the water, how will the water level in the pool change? Answer: The water level will decrease. As long as the anchor lies in the boat, the boat itself displaces the volume of water that corresponds to the volume of the anchor, as well as its own weight. If an anchor is thrown overboard, it will displace a volume of water equal to its own volume.
8. The father went on a hike with his two sons. On their way they will meet a river with a raft on the shore. The raft can support either two sons or one father. How can the whole family swim to the other shore? Answer: The two sons are sent first. One son returns back to his father and swims with him to the other shore.
9. A steel ladder was lowered from the side of the ship. The 4 lower steps are submerged under water. Each of the steps is 5 centimeters thick. There is a distance between two steps, and it is 30 centimeters. The water level began to rise at a rate of 40 cm per hour as the tide began to rise. How many steps do you think will remain underwater after two hours? Answer: After 2 hours there will also be 4 steps under water, because as the water level rises, the steps will also rise.
10. In 3 days, 3 chickens lay 3 eggs. How many eggs will twelve hens lay in twelve days? Answer: one hen can lay 1 egg in 3 days, therefore, in twelve days she will lay 4 eggs. Multiply 4 by 12 (the number of chickens) - you get 48 eggs.

The most difficult riddles with answers

Masha and Vanya were playing in a dark and dirty attic. After the game they went downstairs. Masha's face was clean, and Vanya's face was dirty. However, only Masha went to wash herself. Why?

Answer: Masha looked at Vanya’s dirty face and thought that she was also dirty. And Vanya looked at Masha’s clean face and thought that he had a clean face.

The day before yesterday Mitya was 16 years old, next year he will turn 19 years old. How is this possible?

Answer: Mitya’s birthday is December 31st. Today is January 1st. The day before yesterday the boy was 16 years old, after which on December 31 he turned 17 years old. This year he will be 18 years old, and next year - 19 years old.

The man was found murdered in his own office. He had a pistol in his hand, a voice recorder on the table, and his body was bent over the table. The police turned on the recorder, on which they heard the following words: “I want to leave this life, for me it has ceased to have any meaning.” After this, a shot rang out. The police immediately realized that the man did not die himself, but that he was killed. How did they figure this out?

Answer: the tape of the recorder was rewound to the beginning.

5 challenging riddles with answers.

1. To allow people to access underground utilities, hatches are used. As a rule, manhole covers are round in shape. Why? Answer: A round lid will never fail, but square or rectangular lids may fail.
2. Is it possible to boil water in paper cup on an open flame. Answer: The boiling point of water is less than the ignition temperature of paper. Boiling water prevents the paper from getting hot enough to catch fire. Based on this, the water in the paper glass may boil.
3. You are about to drink a cup of coffee with milk, but you only managed to pour coffee into the glass. You are asked to leave for just a few minutes. What is the best way to ensure that the coffee is hot when you return: pour milk after you arrive or before you leave? Answer: the cooling rate is proportional to the difference in temperature between the surrounding air and the heated body. Based on this, milk must be poured before leaving so that its further cooling occurs more slowly.

4. Kolya and Misha bought one box of chocolates each. Each of them contains 12 candies. Kolya ate several sweets from his box, and Misha ate the same amount of sweets that were left in Kolya’s box. How many sweets do Kolya and Misha have left? Answer: 12 candies.
5. There is an opinion that a bird’s egg has one blunt end for a reason. Why? Answer: oval and spherical bodies roll in a straight line. If a body has a blunt end at one end, it will roll in a circle. If the egg is on the side of a mountain, then having this shape is a great advantage for it.

Exercising in the morning is very beneficial for the body, but exercise for the brain is doubly beneficial. Most ancient way make your head think and work - riddles. With a trick, with answers, funny, for children and adults - there are so many of them! Children especially love this genre. They are ready to search for the right answers for days without receiving any clues. This is very useful for kids: it develops logical thinking, ingenuity. Immerse yourself in this amazing world! Gather the whole family around the table and give them a real brainstorming session!

A gift from the ancestors

Who came up with the first riddle remains a mystery. After all, their roots go back to ancient times. Our ancestors did not perceive them as a simple mental exercise. It was something more, they believed that if you solved the riddle, then everything would come true cherished desires. The most popular motive folk epic- guessing tricky riddles to avoid trouble and misfortune. In Russian fairy tales there are very often situations when main character Instead of a battle, it unleashes such mental puzzles!

Ancient people composed mythical riddles; with a trick, with answers, funny - this is the creation of modern authors. How interesting it can sometimes be to find out the answer to a very difficult question! But many old riddles contain deep meaning. They remind only sound in a question form.

Be smart

At any holiday, you can arrange brain gymnastics as entertainment. Guests will be happy to take part in such an action, because boring feasts have long been boring. You need to prepare in advance. Write down riddles on paper: with a trick, with answers, funny, difficult. And prepare small prizes for correct answers. This could be stationery, souvenirs, sweets. You can start charging:

  • A language spoken silently? (Sign language.)
  • He runs down the mountain, then up the mountain, but stays in place. (Road.)
  • Why do they rarely drive, but do they walk constantly? (On the stairs.)
  • A word with five e's and no more vowels? (Displaced person.)
  • What animal do cars drive on and people walk on? (Along the zebra crossing.)
  • A small shack is on fire, and next to it is a huge house? Which of these houses will the police put out first? (No, the firefighters will put out the fire.)
  • How many years are there in a year? (One summer.)
  • What kind of cork can't stop any bottle? (Road.)
  • Are there metal ones or liquid ones? (Nails.)

This kind of entertainment will go off with a bang if adults gather around the table. Trick riddles with funny and serious answers will appeal to all brainstorming participants! Even older children can answer some simple questions. You just need to think a little and use your wits!

Only humor

Everyone loves jokes and fun, so it’s a good idea to prepare a few unusual questions. It’s very easy to show off your humor and become the life of the party. You don't have to litter vulgar jokes, you can prepare riddles with a trick, with answers, funny and unusual.

  • How to get up blue sky will you get it? (Rainbow.)
  • In the pouring rain, who doesn't get their hair wet? (Bald man.)
  • Earrings for simpletons? (Noodles.)
  • This word always sounds wrong. (The word "wrong".)
  • What does half an orange look like? (For the second half.)
  • When is the easiest time for a black cat to get into the house? (When the door is open.)
  • If a green ball is thrown into the Red Sea, what will it become? (Wet.)
  • Is it better to stir sugar in coffee with your right or left hand? (It's better to do this with a spoon.)

Such riddles with tricky answers, funny and funny, will help defuse the situation in any society.

The best for children

Entertaining children is a difficult task. Little fidgets quickly get tired of one activity and demand something new. Competitions, games, dances are already over, the children need to rest a little and gain new strength. But they still won’t sit idle. Prepare them children's riddles with tricky answers, funny and creative. Kids love to learn something new. First, give them hints, ask them suggestive questions, let them get carried away with this activity. Then start asking more difficult questions and let them use their brains.

  • What can you cook, but cannot eat? (Lessons.)
  • How many chocolates can you eat on an empty stomach? (One.)
  • How many chips can fit on a plate? (They don't know how to walk.)
  • Pet, first letter "t"? (Cockroach.)
  • How many times does a chicken crow when she lays an egg? (The rooster crows.)
  • Birthday is around the corner, we baked... (Cake.)
  • Ninety bananas grew on a birch tree, the wind blew and ten of them fell. How many bananas are left on the tree? (Bananas don’t grow on birch trees.)
  • Small, gray, looks like an elephant. (Baby elephant.)
  • Old women go to the market to buy themselves... (Groceries.)
  • Hockey players can be heard crying, let the goalie let them through... (Ball.)
  • The bunny went out for a walk, the hare's paws are exactly... (Four.)

Develop and smile

Riddles are useful for both children and adults. They train memory, ingenuity, expand horizons and perception of the world around us! They are appropriate in any company; the evening will become more fun with a cup of tea and funny riddles. Develop yourself and give people smiles!

The most difficult riddle is different for each person. The one he struggled with for many hours or even days. But in the end I figured it out and found the answer on my own. He will definitely never forget the solution.

But still, among those ever invented, there are those that can confidently be classified as the most intricate. We will talk about them.

First group of riddles: for children

Don't think that any adult can handle them easily. Even not the most difficult riddle in the world can seriously puzzle you. Moreover, there will be a big embarrassment if a child can cope with it, but an adult will find it too tough.

  • Life gives this as a gift twice. You have to pay for the third set. (Teeth.)
  • A birch tree grew in the garden. There were 45 apples hanging on it. The wind blew and 9 of them fell. How many apples are left on it? (Not at all, because apples don’t grow on birch trees.) Note. Although if you come across a person with creative thinking, he can say that nowhere is it said that apples actually grew on the tree. They just hung there. And it is unknown how they were secured, that’s why they fell.

The list of tasks that can be described as “the most difficult riddle” continues.

  • During the race, the athlete overtook the one who was in second position. Where did he end up? (On the second, because he didn’t catch up with the first.)
  • The same athlete in another competition overtook the one who was last. What place did he get? (It is impossible to overtake the last one; if someone was ahead of him, then he was not the last.)
  • This thing is thrown away if it is needed. And when it turns out to be unnecessary, they raise it. What is this? (Sea anchor.)

The second group of riddles: for those who like to count

These tasks will require some math and some reasoning. And then any of the most difficult riddles in the world can be solved.

  • A specialist is invited to a well-known company for the position of financial analyst. He is offered a starting salary of 10 thousand per month. It can be increased according to two schemes. The first promises an increase of 15 thousand per year. The second guarantees an increase of 5 thousand in six months. Which option will be more profitable? (Second.) Note. You will need to calculate your salary for an arbitrary number of years. Even the first two will be enough. In both cases, the annual salary is the same - 120 thousand. Increase plan for the first scenario: 120 thousand, 135 thousand and so on. The second scenario will give the following breakdown: 60 for the first six months and 65 for the second part of the year, resulting in 125 thousand for the 1st year. Second year: 70 and 75, which will give 145 thousand per year.
  • There is a heavy anchor at the bottom of the boat. She floats on the surface of the water in the pool. What will happen to the water level if the untied anchor is thrown out of the boat? (Will go down.) Note. While the anchor lies in the boat, the part of it immersed in water is much larger than the volume of the anchor itself.

  • How to collect 4 liters of water if only containers of 5 and 3 are available? (Fill 5, pour into 3, empty the second, pour the remaining 2 from the first into it, fill with 5 again, pour 1 liter from it into the three-liter.)

The third group of riddles: to reason

A creative approach is impossible without thinking carefully and moving away from the standards into which society has driven people. Therefore, the most complex logic riddles turn out to be simple after the answer is found.

  • In a large room there is a partition behind which there are three light bulbs. Moreover, they are not visible from the remote control with three switches. It is required to determine which one is from each light bulb. You can only enter the partition once. The solution requires two steps. The first is to turn on one light bulb and turn it off after a few minutes. During this time it will have time to warm up. The second action is to turn on the second light bulb. Now you can take a look. The one that is hot is the first. The other one glows - the second one. And the third is the one that was not touched at all.
  • One hotel has seven floors. The first one accommodated 4 guests. On each subsequent floor their number increases by 3. On which floor is the elevator button pressed most often? (On the first.)
  • One person only has one match left in the box. He enters a room in which there is a kerosene lamp on the fireplace and a gas stove. What will a person light first? (Match.)

And this is perhaps the most difficult logic riddle.

You need to bake 6 pies. They need to be fried on each side for 5 minutes. Only 4 pies can be placed on the frying pan at a time. How can you fry them in 15 minutes?

The solution consists of the following moves:

  • put 4 pies for 5 minutes;
  • Turn 2 over, remove the others, put two more not yet fried for another 5 minutes;
  • 2 remove (they are already ready), 2 turn over and put those that were previously removed for the remaining 5 minutes.

The fourth group of riddles: ingenuity

They require intelligence. A savvy person will easily solve all the most complex logical riddles.

  • The girl took the ring out of the coffee cup. Why didn't the ring get wet? (Coffee powder, granules or beans.)

  • One businessman bought apples for 6 rubles, and sold them for 4. How did he manage to become a millionaire? (Before this action, he was a billionaire.)
  • The steamer moored to the pier, and the 4 lower steps were in the water. Thickness and height of the steps: 5 and 30 cm. While the ship was at the pier, the tide began, and the water rose by 40 cm every hour. How many steps will be under water 3 hours after the tide starts? (Still 4, the steamer will rise with the water.)

Fifth group of riddles: with a catch

Logic and the ability to count well will not always help in solving such problems. These most difficult riddles have a catch. That is, those in which you need to look for something unusual.

  • There are three tractor drivers working on the collective farm, who have a brother, Sergei. But he has no brothers. How can this be? (They are sisters.)
  • There were 10 candles burning on the candlestick. The owner blew out 3 of them. How many candles will be left by morning? (3: those that are blown out will not burn.)
  • It's 12 o'clock at night. It is raining outside. How confident can you be that the sun will be shining in 72 hours? (Not at all, it will be night again.)
  • In what situation is it easier for a black cat to enter the house? (When the door is open.)

And a few more mysteries

  • It is impossible to hold it for more than 5-10 minutes. But at the same time it weighs almost nothing (Breathing.)
  • There were so many apples on the plate that there were enough for all the children. How did it happen that all the guys took one, but there was only one left on the plate? (The latter took it along with the plate.)

And here is the most difficult riddle, which has two solutions.

The patient needs to leave for 30 days. The doctor gives him two medications, 30 tablets each. They cannot be distinguished by color, taste, smell, shape or size. The course of treatment cannot be interrupted. Every day you need to take one tablet of each drug. One day a person took 1 tablet out of the first package, and 2 fell out of the second. They got mixed up. How can a patient follow the doctor’s recommendations?

1. Take another tablet from the first one. Cut everything in half and put all the left halves in one direction, and the right halves in the other. It will turn out that there will be one of each type in each pile.

2. Again, take another tablet. Grind everything into powder and divide into two equal parts.