# PIN code

PIN on Michael credit card is a four-digit number. Michael told this to his friend:

• It is a prime number - that is, a number greater than 1, which is only divisible by number one and by itself.

• The first digit is larger than the second.

• The second digit is greater than the third.

• The third digit is greater than 6.

• The fourth digit is even.

• Three digits are odd.

What is Michael's PIN, if you know that five of the information he gave to a friend is true and one is false?

• It is a prime number - that is, a number greater than 1, which is only divisible by number one and by itself.

• The first digit is larger than the second.

• The second digit is greater than the third.

• The third digit is greater than 6.

• The fourth digit is even.

• Three digits are odd.

What is Michael's PIN, if you know that five of the information he gave to a friend is true and one is false?

**Result****Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):**

**Showing 0 comments:**

**Be the first to comment!**

#### To solve this example are needed these knowledge from mathematics:

## Next similar examples:

- Candies

In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ? - Three digits number

From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there? - Combinations

How many different combinations of two-digit number divisible by 4 arises from the digits 3, 5 and 7? - Numbers

Write smallest three-digit number, which in division 5 and 7 gives the rest 2. - Inverted nine

In the hotel,, Inverted nine" each hotel room number is divisible by 6. How many rooms we can count with three-digit number registered by digits 1,8,7,4,9? - Digits

How many five-digit numbers can be written from numbers 0.3,4, 5, 7 that is divided by 10 and if digits can be repeated. - Variations

Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition. - Basket of fruit

In six baskets, the seller has fruit. In individual baskets, there are only apples or just pears with the following number of fruits: 5,6,12,14,23 and 29. "If I sell this basket," the salesman thinks, "then I will have just as many apples as a pear." Which - Unknown number

Unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • Difference first and second prime number is half the difference between the third and second prime numbers. • The produ - Theorem prove

We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started? - Sum of two primes

Christian Goldbach, a mathematician, found out that every even number greater than 2 can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers. - Divisors

The sum of all divisors unknown odd number is 2112. Determine sum of all divisors of number which is twice of unknown numbers. - Amazing number

An amazing number is name for such even number, the decomposition product of prime numbers has exactly three not necessarily different factors and the sum of all its divisors is equal to twice that number. Find all amazing numbers. - Chebyshev formula

To estimate the number of primes less than x is used Chebyshev formula: ? Estimate the number of primes less than 30300537. - Elections

In elections candidate 10 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes. - Olympics metals

In how many ways can be win six athletes medal positions in the Olympics? Metal color matters. - Medals

In how many ways can be divided gold, silver and bronze medal among 21 contestant?