Divisibility + reason - practice problems
Number of problems found: 192
- Division with a remainder
Find the least number which when divided by 8, 12, and 20 leaves a remainder of 5 in each case. - 4th digit
Write a digit in place of X so that 85X634 is divisible by 11. - Remainder one Find the least number when divided by 2,3,4,5,6, and 7, leaving the remainder as 1 in each case.
- Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3.
- Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - Wardrobe code Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
- Determine 82975 Determine the sum of all positive odd numbers less than 78
- Performance_ 82318
The dance troupe has 24 members. How many equal-sized groups of dancers can he divide into during a performance_ - Determines 80517 Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76
- Number 80500 Which number does not belong in the number series and why? 11. . . 13 . . . 15 . . . 17 . . . 19
- Following: 80476
In the number 123 456 789, omit the following: a) one digit to create the largest possible number divisible by 3 b) one digit to create the largest possible number divisible by 9 - Symmetrical 80361
Complete the digits to create a symmetrical number divisible by 5 to the number 346. - Five-digit 80104 How many different five-digit numbers with different digits can be made from the digits 0, 2, 4, 6, 7, 8, and 9? How many of them are divisible by 4? How many of them are divisible by 10? How many of them are even?
- Divisible 79464 The teacher wrote a number less than 50,000 on the board. The first student said: This number is divisible by 2 The second student said: This number is divisible by 3 And so on, down to the last one who claimed it was divisible by 13. Two in a row lied. W
- What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Probability 71204 On ten identical cards, there are numbers from zero to nine. Determine the probability that a two-digit number randomly drawn from the given cards is: a) even b) divisible by six c) divisible by twenty-one
- Three-digit 69114 How many three-digit numbers have a digit sum of 6? Write the ratio of the number of created even and odd numbers and adjust it to the basic form.
- Two-digit 68654 List all compound positive two-digit numbers whose greatest common divisor with the number 51 is the number 17.
- Divisible 68644 List all divisible numbers by six and seven that are greater than 79 and less than 91.
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