Divisibility - practice problems
Number of problems found: 435
- Division with a remainder
Find the least number which when divided by 8, 12, and 20 leaves a remainder of 5 in each case. - The product 18
The product of two consecutive natural numbers which are multiples of 3 is equal to 810. Find the two numbers. - The remainder 3
The remainder is 31 when dividing a number by 45. What would the remainder be if the same number were divided by 15? - 4th digit Write a digit in place of X so that 85X634 is divisible by 11.
- The remainder
Find the remainder if 17²00 is divided by 18. - Tailors
Find the largest number of tailors who can share either 48m or 12m of fabric equally without a reminder? - Factorial divisible by 75 Find the least positive integer n such that n! is divisible by 75.
- Consecutive odd numbers
Find three consecutive odd numbers whose sum is 93. - Add five to lcm The least number, which, when diminished by 5, is divisible by each of 21, 28, 36, and 45.
- LCM and HCF 2 If the product of two numbers is 5780 and their HCF is 17, then what is their LCM?
- Remainder one Find the least number when divided by 2,3,4,5,6, and 7, leaving the remainder as 1 in each case.
- Divisible by three What least value must be assigned to the unknown x so that the number 789x563 is divisible by 3?
- Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - Relay teams
There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain. - A number 8 A number K is such that when it is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K
- Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - Two pieces 2
Two pieces of length 12/5 m and 23/9 m are cut from a rope of length 13 m. Find the length of the remaining rope. - Unknown number 35 I am a number between 121 and 149. I can be divided by both 3 and 5. What number am I?
- Beekeeper 2
The beekeeper has more than 190 kilos of honey and less than 200 kilos. If he divides it into 8-kilogram bottles, he rest 3 kilos. If he divides it into 7-kilogram bottles, he he rest kilos. How many kilos of honey does he have? - All zeros
How many zeros does the product of the numbers 10.11.12.13.14.15.20.21.22.23.24.25 end with?
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