Divisibility - practice problems - page 9 of 21
Number of problems found: 407
- Divisible 9331
The number X is the smallest natural number whose half is divisible by three, a third is divisible by four, a quarter is divisible by eleven, and its half gives a remainder of 5 when divided by seven. Find this number. - Significant 9321
Only herbs with 5 and 7 leaves grow in the Old Forest. When the boar Vavřínec collects raw materials for herbal liquor, it always tears off the whole herb and puts it in a basket. What is the most significant number of letters he will ever manage to have - Notebooks 8651
I need to buy exercise books and covers. One notebook costs CZK 12, and one cover costs CZK 3. I have one fifty crown and one twenty crown. How many notebooks and covers can I buy for it? Come up with more options. - Determine 8611
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product.
- Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Justification 8468
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the - Banknotes
How many different ways can the cashier pay out € 310 if he uses only 50 and 20 euro banknotes? Find all solutions. - Digits
How many odd four-digit numbers can we create from digits: 0, 3, 5, 6, and 7? (a) the figures may be repeated (b) the digits may not be repeated
- Dance group
The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group? - Two cars on ring
There were two cars on the round track (ring) in the adjacent tracks, the first car on the inner track and the second on the outer track. Both cars started at the same time from one starting track. The first toy car drove four laps simultaneously, and the - Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five? - Consecutive 8004
The sum of five consecutive odd numbers is 35. What are these numbers? - Three-digit 8002
Find the largest three-digit number that gives the remainder 1 when divided by three, gives the remainder 2 when divided by four, gives the remainder 3 when divided by five, and gives the remainder 4 when divided by six.
- Different 7909
Kryštof sells 10 bells at different prices: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 euros. He needs to pack all the bells into 3 boxes so that the price of the bells in each box is the same. How many ways can he do this? A)1 b)2 c)3 d)4 e)cannot be divided in this - Three numbers
We have three different non-zero digits. We will create all three digits numbers from them to use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers? - Dozen
What is the product of 26 and 5? Write the answer in an Arabic numeral. Add up the digits. How many of this is in a dozen? Divide ; 114 by this - Probability 7812
We have 20 balls in the bag, numbered from 1 to 20. Determine the spring probability that I will pull a ball with a steam number and less than 13 from the bag. - Simultaneously 7748
The monitor screen is blank. Four new wheels appear on the screen every seven seconds when the beep sounds. On the contrary, three wheels disappear from the screen every eleven seconds. If both actions should take place simultaneously, the number of circl
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