Three countrymen met at a cattle market. ‘Look here,’ said Hari to Jaggu, ‘I’ll give you six of my pigs for one of your horses, and then you’ll have twice as many animals here as I’ve got.’

‘If that’s your way of doing business,’ said Dinanath to Hari, ‘I’ll give you fourteen of my sheep for a horse, and then you’ll have three times as many animals as I.’

‘Well, I’ll go better than that,’ said Jaggu to Dinanath; ‘I’ll give you four cows for a horse, and then you’ll have six times as many animals as I’ve got here.’

No doubt this was a very primitive way of bartering animals, but  it is an interesting little puzzle to discover just how many animals Jaggu, Hari and Dinanath must have taken to the cattle market.

If you enjoy puzzles like this you may also enjoy math classes from an accredited online college.

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Puzzle 1

The square of 13 is 169.  Take the last digit of the square, 9, and place it in the middle, making 196.  This is the square of 14, the next number above 13.

What are the next numbers which also have this property?

Puzzle 2

The following multiplication example uses every digit from 0 to 9 at least once.  Letters have been substituted for the digits.  Can you replace the letters and make the original multiplication problem?

B O G
x     B O G
_______________
L Y L E
G G U L
T U O O
___________________
U N I T O E

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Try it out -

Mr. Moody grumbles about bad time-keeping of trains from morning till night!

On one particular morning he was quite justified.

His train left on time for the one hour journey, to Clarksville, and it arrived 5 minutes late.
However, Mr. Moody 's watch showed it to be 3 minutes early, so he adjusted his watch by putting it forward 3 minutes.

His watch kept time during the day, and on the return journey in the evening the train started on time, according to his watch, and arrived on time, according to the station clock.
If the train travelled 25 percent faster on the return journey than it did on the morning journey, was the station clock fast or slow, and by how much?

Leave your answers below.

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The next day the women decided to do business together, so they pooled their 60 apples and sold them at the rate of 5 for a dime (2 for a nickel plus 3 for a nickel). Upon counting their joint receipts at the end of the day they were dismayed to find that they had only $1.20. They searched all about them for that other nickel, and wound up by bitterly accusing each other of having taken it. Where was it? (1 Nickel = 5 Cents)

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Mathematics Age Puzzle

At a census there is the following dialog:

Field helper: number of children?

Citizen: three!

Field helper: age of Your children in whole numbers?

Citizen: The product of the years is 36.

Field helper: This not a sufficent answer!

Citizen: The sum of the ages equals the

number of the house of our next neighbour.

(Field helper acquires the number.)

Field helper: That is still not a sufficient answer!

Citizen: Our eldest child plays the piano.

Field helper: (after some mental calculations) – Fine, now I know the age of your three children. But it would not have been possible without the last clue.

How old are the three children?

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Once a professor was teaching mathematics in a college. He declared that, all the students who will score equal to more than the class average in his subject in the upcoming semester examination will be marked as PASS. Those who will score lesser than average will be marked as FAIL.

Actually the teacher was trying to infuse competition in the class by introducing relative grading system. But this professor was outsmarted by a very intelligent student, Mohit, who suggested to the class a solution to handle this crisis situation.  The class unanimously agreed.

This resulted in a very strange thing which never happened in the history of the college.

Can you guess what happened?

What did Mohit suggested and why?

Puzzle Contributed by - Virendra Pratap, Kolkata

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Apply your calculative skills to find out the answer to this maths puzzle.

Every man or woman alive today had 2 parents, 4 grand-parents, 8 great-grand parents, 16 great-great-grand parents, 32 great, great, great grand parents and so on.

Let us take the case of Ram. Two generations ago Ran had 2 x 2 or 2², or 4 ancestors. Three generations ago he had 2 x 2 x 2 or 2³ or 8 ancestors. For generations ago he had 2 x 2 x 2 x 2 or 2⁴ or 16 ancestors.

Assuming that there are 20 years t o a generation, can you tell 400 years back how many ancestors did Ram have?

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I met Sweety first time in a marriage party in Kolkata. We exchanged our phone numbers and decided to meet each other soon. When she rang up and invited me to her house, she decided to tease me.

This is how she gave me the number of her house on a particular street:

“I live in a long street. Numbered one the one side of my house are the houses one, two, three and so on.  All the numbers on one side of my house add up to exactly the same as all the numbers on the other side of my house. I know there are more than 50 houses on that side of the street, but not so many as 500”

Can you help me find Sweety’s House number?

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8/5 and -7/3

What is the absolute value of the coefficient of the x term, if the equation is written in standard form (ax² + bx + c = 0), and a = 1

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