The flat tire was on the man's spare wheel which he kept in the car trunk. The four wheels he drove on all had properly inflated tires.

The man fell overboard from a small boat at the seashore. He could not swim well and got into difficulties so he threw away the expensive and heavy binoculars around his neck. He was rescued. He then offered a swimmer a reward to dive down and recover his binoculars. This effort was unsuccessful. Later, however, when the tide went out he was able to pick them up off the sand.

The boy suggested that the man take one wheel nut off each of the oyher three wheels in order to attach fourth wheel. Once he had done this, the man could safely drive to the nearest garage with each wheel firmly attached by three nuts.

A square or rectangular manhole cover can fall down the hole, while a round manhole cover cannot. The square cover will fit down the diagonal of the hole(unless the rim it sits on is very large) but no matter how you turn a circle it never measures less than its diameter. So for safety and practicality all manhole covers should be round.

**5. A man lies dead in a field. Next to him is a long piece of cord. How did he die?**

Incredible as it may seem, some people enjoy leaping off high buildings or bridges with a length of elastic cord fastened to them. This pastime is known as bungee jumping. The poor man in this situation died when he jumped from a high cane in the field and his bungee cord broke.

The postmark used at that time was always black. It was therefore difficult to tell whether a stamp had been frankled or not. This led to people reusing used stamps. On a Penny red the black postmark was clearly visible.

**7. A man had a book which was worth $40,000. Why did he deliberately destroy it?**

The man actually owned two copies of the valuable book. By destroying one copy he increased the value of the other.

When the man parked his car outside the bank he held up twenty-five people who were stuck in traffic behind him. The policeman told him not to park like that again.

Publishers normally include a nonexistent word or a non-existent island in a dictionary or atlas, respectively. If it then appears in somebody else's work, they have clear evidence of copying.

A spherical or oval egg would roll in a straight line. How-ever, an asymmetrical egg, which is narrower at one end than the other, will tend to roll in a circle. (Try it with a normal hen's egg.) if the eggs are on a cliff edge or other precarious place, the tendency to roll around rather than straight is a distinct advantage.

The man drove his car to the beach to watch the sunset over the waves. He fell asleep. The tide came in and seeped in around the car doors and windows. He awoke, but with the pressure of the water, he couldn't get out of the car. The water filled the car and drowned him. Later the tide went out and he was found dead in an empty car.

The so-called village idiot was smart enough to realize that as long as he kept choosing the 50-cent piece, people would keep offering him the choice. If he once took the $5 bill, the stream of coins would stop rolling in.

The fruit is grown in the bottle. The bottle is tied onto the branch shortly after the fruit starts to form.

The fruit is grown in the bottle. The bottle is tied onto the branch shortly after the fruit starts to form.

The cassette had started at the beginning of the man's utterance. Who could have rewound it?

This is the true story from Japan. The man easd a keen golfer and his lifelong ambition was to score a hole in one. But this would prove very expensive as the custom at his golf club was that anyone who scored a hole in one had to buy all the other members a drink.

This is a true story from India. The child was born into a family of beggars in Calcutta. The parents knew that a crippled child would earn more as a beggar than a healthy child would.

The manufacturer sent 5,000 right-hand gloves to Miami and 5,000 left-hand gloves to New York. He refused to pay the duty on them so both sets of gloves were impounded. Since no body claimed them, both lots were subsequently sold off at auction. They went for a very low price (who wants 5,000 left hand gloves?). Naturally, it was the clever Frenchman who one with a very low bid at each auction.

The man put his wife's big-toe print on the knife and left it beside the body. He could have used his own toe-print but that could have been later traced to him. Once his wife was buried, the "fingerprints" could never be traced.

The man knew the name of the town he had left that morning. So he replaced the sign so that it correctly named the direction he had come from. It would then be correct for all the other directions.

The wearing of seat belts was successful in reducing the number of deaths from road accidents. People who with-out seat belts would have been killed (and taken to the morgue) now survived but with injuries. Consequently more people were treated for injuries than before.

The cord around the man's neck was a piece of rawhide which he had soaked in water before entering the room. Once he had it tightly around his neck it naturally grew tighter as it dried.

**23. A man was doing his job but was killed because he lacked a certain piece of furniture. Why**

The man was a circus lion tamer who had unfortunately forgotten his chair when he had to face a bad-tempered lion!

He challenged the Olympic champion to run up a ladder. Since he was the fastest window cleaner in Ireland he won easily!

The challenger was a blind golfer and he arranged to play the champion at midnight on a dark night. The blind man was at no disadvantage in the dark but the champion could not see his ball to hit it. (Blind golfers do play matches and tournaments; they rely on others to indicate where their ball and the hole are.)

It is equally likely that one couple will have all the trumps as that they will have no trumps between them. For if they have all the trumps if must mean that the other pair has none and vice versa.

The teacher instructed her pupils always to raise their hands when a question was asked whether they knew the answer or not. If they did not know the answer they should raise their left hand. If they were sure they know the answer they should raise their right hand. The teacher chose a different child each time, but always one who had raised his or her right hand.

This is a paradox with no clear-cut answer. Both parties have a good case. It would be interesting to see it argued out in court. Whoever lost could claim to have won-the student in losing would still not have won a case, Protagoras in losing would ensure a first victory for his pupil. Some believe that the most likely outcome of such a situation, if it had come to trial, would have been victory for the student. He was after all under no obligation to practice law and up until that point he had not breached ever, he could sue a second time on grounds that the student had now won a case and was in breach of contract. Protagoras would therefore win the second case and recover his fees. Overall, Protagoras would have won. The student would be smart to choose not to represent himself but to select a good lawyer who could win the first case for him. In that case, since a pupil would still not have won a case, he would have won the contest.

The man who refused to be searched was an aristocrat who had fallen on very hard times but was trying to keep up appearances. He was so poor, however, that he could scarcely afford to eat. So, while at the dinner, he secretly lined his pockets with food from the table to keep him going for the next few days. Obviously if he was searched his secret would be revealed and he would be humiliated.

**30. A girl was eight years old on her first birthday. How could that be?**

She was born on February 29, 1986. The year 1900 was not a leapt year (only centuries divisible by 400 are leap years), so the next February 29 fell in 1904 when she was eight. She was twelve on her second birthday.

He reasoned that she would have called her lover so he simply pressed the redial button on their telephone. When the man answered with his name the husband told him that he had won a prize draw and asked for the address to which it should be sent.

The hospital dressed all their teddy bears with bandages. Then they explained to the little children that the poor teddies had to say at the hospital for their own health and recovery. The children reluctantly but sympathetically agreed.

One of the most important tasks for the golf club professional is giving lessons. Most players are right handed. They can stand opposite a left-handed teacher and watch and copy him more easily. It is just like looking in a mirror, so it makes learning the correct style of swing easier.

The girl filled the jar with water at the school. When she reached the appropriate point at the city center she poured all the water out. What replaced it was a true sample of the surrounding air.

The two men were in a restuarant. The Argentinian fan had a fishbone stuck in his throat and was chocking. The other man was quick-witted enough to give him a strong blow on the back, thereby dislodging the bone and saving his life .

In about 982 a Norseman, Eric the red, discovered Greenland. He wanted to encourage people to settle there so he called it Greenland to make it sound attractive. It is a very early example of deliberately misleading labelling.

No man threw a punch because the boxing match was between two women boxers.

The man filled the barrel with with holes! Since there was now less barrel it weighed less.

The girl was listening to the radio in her father's car. He drove through a tunnel and reception was temporarily interrupted.

**40. Ben was 20 years old in 1980 but only 15 years old in 1985. How come?**

Ben was born in the year 2000 B.C. So in 1985 B.C. he was 15 and in 1980 B.C. he was 20.

Although the guards were looking in opposite directions, they were not back to back. They were facing each other.

The deaf man says to the storekeeper, " I would like to buy a saw, please.

The brothers were siamese twins, joined at the side. They lived in Birmingham, Albama. Because they drove on the right hand side of the road the steering wheel was on the left hand side of the car. The brother who sat on the left always drove. When they were in London, England, the other drove because the steering wheel was on the right hand side of the car.

The man had neglected to buy a new battery for his hearing aid. The old battery failed just as he was coming in to land and he therefore did not hear his tutor's crucial instructions.

The plane was parked on the runway.

**46. William's father was older than his grandfather. How did that happen?**

Let's say that William's father was 60, his mother was 25, and his mother's father was 45. Because everyone has two grandfathers, it is quite possible for a maternal grandfather to be younger than one's father.

The man did not pass a single pub because he went into every one!

The two men were partners playing doubles.

They were the same man. Grover Cleveland (1837 - 1908) served two terms as president of the United States, but the terms were not consecutive. He was president from 1885 to 1889 and from 1893 to 1897.

The first five girls each took an apple. The sixth girl took the basket as well as the apple in it.

The next three numbers in the series are 4, 3, 4.

The pattern is - the number of 1's in the binary expansion of the positive integers starting from 1.

Number Binary Equivalent # of 1's

1 1 1

2 10 1

3 11 2

4 100 1

5 101 2

6 110 2

7 111 3

8 1000 1

9 1001 2

10 1010 2

11 1011 3

12 1100 2

13 1101 3

14 1110 3

15 1111 4

16 10000 1

17 10001 2

18 10010 2

19 10011 3

20 10100 2

21 10101 3

22 10110 3

23 10111 4

24 11000 2

25 11001 3

26 11010 3

27 11011 4

28 11100 3

29 11101 4

C=0, U=1, S=2, T=3, O=4, M=5, I=6, Z=7, E=8, D=9

It is obvious that U=1 (as U*STEM=STEM) and C=0 (as I-C=I).

S*O is a single digit and also S*T is a single digit. Hence, their values (O, S, T) must be 2, 3 or 4 (as they can not be 0 or 1 or greater than 4).

Consider, STEM*O=DMOC, where C=0. It means that M must be 5. Now, its simple. O=4, S=2, T=3, E=8, Z=7, I=6 and D=9.

O U T 4 1 3

------------- -------------

S T E M | D E M I S E 2 3 8 5 | 9 8 5 6 2 8

| D M O C | 9 5 4 0

------------- -------------

T U I S 3 1 6 2

S T E M 2 3 8 5

---------- ----------

Z Z Z E 7 7 7 8

Z U M M 7 1 5 5

-------- --------

I S T 6 2 3

Also, when arranged from 0 to 9, it spells CUSTOMIZED.

The numebr is 420.

If statement 6 is false, it creates a paradox. Hence, Statement 6 must be true.

Consider Statement 2:

* If it is true, it must be the first true statement. Otherwise, it creates a paradox.

* If it is false, it must be the second false statement. Otherwise, it creates a paradox.

In both the cases, Statement 1 is false.

As Statement 1 is false, Statement 9 and Statement 10 both are false i.e. there are three consecutive true statements.

1 2 3 4 5 6 7 8 9 10

False - - - - True - - False False

Let's assume that Statement 3 is false i.e. there are no three consecutive false statements. It means that Statement 2 and Statement 8 must be true, else there will be three consecutive false statements.

1 2 3 4 5 6 7 8 9 10

False True False - - True - True False False

Also, atleast two of Statements 4, 5 and 7 must be true as there are three consecutive true statements.

According to Statement 8, the number that is to be found is the percentage of true statements. Hence, number is either 50 or 60. Now if Statement 7 is true, then the number of each true statement divides the number, that is to be found. But 7 and 8 do not divide either 50 or 60. Hence, Statement 7 is false which means that Statement 4 and 5 are true. But Statement 5 contradicts the Statement 8. Hence, our assumption that Statement 3 is false is wrong and Statement 3 is true i.e. there are 3 consecutive false statements which means that Statement 8 is false as there is no other possibilities of 3 consecutive false statements.

Also, Statement 7 is true as Statement 6 is not the last true statement.

1 2 3 4 5 6 7 8 9 10

False - True - - True True False False False

According to Statement 7, the number of each true statement divides the number, that is to be found. And according to Statement 5, the sum of the numbers of the true statements is the number, that is to be found. For all possible combinations Statement 5 is false.

There 3 consecutive true statements. Hence, Statement 2 and Statement 4 are true.

1 2 3 4 5 6 7 8 9 10

False True True True False True True False False False

Now, the conditions for the number to be found are:

1. The numebr is divisible by 5 (Statement 4)

2. The numebr is divisible by 2, 3, 4, 6, 7 (Statement 7)

3. The number of divisors of the number, that is to be found, (apart from 1 and itself) is not greater than the sum of the numbers of the true statements. (Statement 9)

The minimum possible number is 420.

The divisors of 420, apart from 1 and itself are 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210. There are total of 22 divisors. Also, the sum of the numbers of the true statements is 22 (2+3+4+6+7=22), which satisfies the third condition.

**54. Which number in the series does not fit in the given series:
1 4 3 16 6 36 7 64 9 100?**

This is a series with odd positions containing position number whereas even positions containing square of the position.i.e. even position numbers are 4 16 36 64 100 and odd position numbers are 1 3 5 7 9

Hence, 6 does not fit in the series. It should be 5.

Total 4 persons (including you) required.

It is given that each person can only carry enough rations for five days. And there are 4 persons. Hence, total of 20 days rations is available.

1. First Day : 4 days of rations are used up. One person goes back using one day of rations for the return trip. The rations remaining for the further trek is for 15 days.

2. Second Day : The remaining three people use up 3 days of rations. One person goes back using 2 days of rations for the return trip. The rations remaining for the further trek is for 10 days.

3. Third Day : The remaining two people use up 2 days of rations. One person goes back using 3 days of rations for the return trip. The rations remaining for the further trek is for 5 days.

4. Fourth Day : The remaining person uses up one day of rations. He stays overnight. The next day he returns to the coast using 4 days of rations.

Thus, total 4 persons, including you are required.

As the train had traveled a little bit distance to reach the bridge. hence the fuel has been reduced a little. thus the paper weight gets equated..

The next letters in the series are N, O, R, S, U, X.

The pattern is - letters whose English names (Phonetic Pronunciations) start with vowels.

No one is taller, both are same as A and B are the same person.

As it is mentioned that 500 men are arranged in an array of 10 rows and 50 columns according to their heights. Let's assume that position numbers represent their heights. Hence, the shortest among the 50, 100, 150, ... 450, 500 is person with height 50 i.e. A. Similarly the tallest among 1, 2, 3, 4, 5, ..... 48, 48, 50 is person with height 50 i.e. B

Now, both A and B are the person with height 50. Hence both are same.

In that question you mention 500 mens know then how will you say a&b both are persons

please clarify my doubt

We tried to find out some simple mathematical method and finally we wrote small C program to find out the answer. The answer is 3121 coins.

Here is the breakup:

First son = 624 coins

Second son = 499 coins

Third son = 399 coins

Forth son = 319 coins

Fifth son = 255 coins

Daughters = 204 each

7.5 degrees

At 3:15 minute hand will be perfactly horizontal pointing towards 3. Whereas hour hand will be towards 4. Also, hour hand must have covered 1/4 of angle between 3 and 4.

The angle between two adjacent digits is 360/12 = 30 degrees.

Hence 1/4 of it is 7.5 degrees.

in a one minute minute hand travel six degree and in a one minute hour hand travel half degree.in a three o clock there is nienty degree angle so when minute hand travel ninty degree in 15 minute and hour hand also travel 7.5 degree.so there is 7.5 degree angle is formed.

3 square marks initially at location (1,1), (1,2) and (2,1). Then it marks all square by considering atleast 2 marks square.

For an nxn grid of square, initially n squares should be marked in appropriate places so as to obtain solution....

Appropriate places should be chosen such that 2 initially marked squares should be neighbor of an unmarked square... Other initially marked squares should be placed such that, it should help in marking further squares...

Players from left to right : Bhavik, (Bhadrik/Bhanu), (Bhola/Bhumit), Bhagat, (Bhola/Bhumit), BHUVAN, Bhairav, (Bharat/Bhavesh), (Bharat/Bhavesh), (Bhadrik/Bhanu), Bhavin

Let's number the positions 1 to 11 from left to right. Hence, the captain is at position 6. Now, looking at the clues 7, 5, 2 and 8 together:

Poistion 1 - Bhavik or Bhairav

Position 3 - Bhumit or Bhola

Position 4 - Bhagat

Position 5 - Bhumit or Bhola

Poistion 7 - Bhavik or Bhairav

Position 11 - Bhavin

From clue (3), the only possible positions for Bhadrik and Bhanu are Position 2 and Position 10.

Now there are 3 positions remaining - 6, 8 and 9 and remaining 3 players are Bhuvan, Bharat and Bhavesh. But from clue (1), Bharat stood to the right of the captain i.e. Bharat must be on position 8 or 9 as position 6 is for the captain. So either Bhuvan or Bhavesh is the captain.

From (4), Bhavesh stood to the right of Bhuvan. Hence, Bhuvan is the captain.

Players from left to right are : Bhavik, (Bhadrik/Bhanu), (Bhola/Bhumit), Bhagat, (Bhola/Bhumit), BHUVAN, Bhairav, (Bharat/Bhavesh), (Bharat/Bhavesh), (Bhadrik/Bhanu), Bhavin.

Thus,

* Bhavik(1), Bhagat(4), Bhuvan(6), Bhairav(7) and Bhavin(11) are the players whose positions are fixed.

* Bhadrik and Bhanu are at position 2 or 10.

* Bhola and Bhumit are at position 3 or 5.

* Bharat and Bhavesh are at position 8 or 9.

The value of L must be one more than W i.e. L=W+1 and there must be one carry from S+I=I. Also, the value of S must be 9 as S+I=I with one carry from T+T=M, which means that the value of T must be greater than 4.

From I+H=I, the value of H must be 0 as the value of S is 9.

Now, applying all those constraints and using trial-n-error, we get two possible answers.

9 7 1 6 6 9 8 5 3 3

+ 5 1 7 0 1 3 + 2 5 8 0 5 6

--------------- ---------------

6 1 4 1 7 9 3 5 6 5 8 9

The second answer

258056

+98533

---------

356589

is wrong as the value of both N and M is 6 here.

I have tried all the combinations and there seems to be only one solution i.e. the first one

517013

+ 97166

----------

614179

The other constraints that i have found while solving the question are :

L cant be 1

N cant be 8

H = 0

T can have only values 6/7/8

and corresponding M is 2/4/6