# Divisibility - practice problems

#### Number of problems found: 411

- 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 product of two numbers is 5780 and their HCF is 17, then what is their LCM is? - Remainder one

Find the least number, when divided by 2,3,4,5,6 and 7 leaves remainder 1 in each case. - Divisible by three

What least value must be assigned to the blank space so that the number 789_{563}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? - Composition 83241

You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w - Determine 82975

Determine the sum of all positive odd numbers less than 78 - Two-seventeenths 82639

Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch? - Performance_ 82318

The dance troupe has 24 members. How many equal-sized groups of dancers can he divide into during a performance_

- Probability 81964

Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4 - Multiple: 81896

Write the nearest smaller multiple: number 7 to number 23 number 5 to number 19 number 6 to number 23 number 10 to number 79 number 6 to number 41 number 3 to number 28 - Remainders 81569

If we divide numbers by a divisor of 15, we get several different remainders. Write the sum of all possible even remainders that we get this way. - Probability 81117

Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt. - Determines 80517

Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76

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