# Z7-I-4 stars 4949

Write instead of stars digits so the next write of product of the two numbers to be valid:
∗ ∗ ∗
· ∗ ∗ ∗
∗ ∗ ∗ ∗
4 9 4 9
∗ ∗ ∗
∗ ∗ ∗ 4 ∗ ∗

Result

a =  707
b =  176
c =  124432

#### Solution:

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

Be the first to comment!

## Next similar examples:

1. MO Z6-6-1
Write integers greater than 1 to the blanks in the following figure, so that each darker box was product of the numbers in the neighboring lighter boxes. What number is in the middle box?
2. Digits of age
The product of the digits of Andrew age as 6 years ago and not equal to 0. Andrew age is also the smallest possible age with this two conditions. After how many years will be the product of the digits of Andrew age again the same as today?
3. Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7 and 8 just once. How many are they?
4. Pages counting
There are pages numbered from 2 to 104 in the book. How many digits have to be printed to number the pages?
5. MO 2016 Numerical axis
Cat's school use a special numerical axis. The distance between the numbers 1 and 2 is 1 cm, the distance between the numbers 2 and 3 is 3 cm, between the numbers 3 and 4 is 5 cm and so on, the distance between the next pair of natural numbers is always in
6. Summands
Find two summands of the number 42, so that its product is minimized.
7. Dinning room
How many different combinations can we choose if there are 3 soups, 5 kinds of main dish and 2 desserts in the dining room?
8. Class 9A
On the final certificate have one quarter of the class 9A mark "C" of mathematics, seventh mark "C" from the Czech language and two students failed in chemistry. How many students attend class 9A?
9. Raffle
In the pool is numbers from 1 to 115. What is the probability that a randomly selected number is not a prime number?
10. The florist
The florist had 200 roses in the morning. During the day, more than half sold it. From the remaining roses, it will tie the bouquet. If a bouquet of 3, 4, 5 or 6 roses are bound, one always remains. How many roses from the morning shipment sold?
11. The square
The square root of 25 times the square root of 81 is what number?
12. Sick
Sick Marcel already taken six tablets, which was a quarter of the total number of pills in the pack. How many pills were in the pack?
13. Christmas Day
In leap years was 53 Sundays. On what day of the week fell to Christmas Day?
14. Factory
In the factory workers work in three shifts. In the first inning operates half of all employees in the second inning and a third in the third inning 200 employees. How many employees work at the factory?
15. Tunnels
Mice had built an underground house consisting of chambers and tunnels: • each tunnel leading from the chamber to the chamber (none is blind) • from each chamber lead just three tunnels into three distinct chambers, • from each chamber mice can get to any
16. Double percent
What is 80% of 60% of 2800?
17. Percentages
Expressed as a percentage: