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14 Questions for the topic Divisibility

08/22/18

Divisibility Rules

It is less than 100,000. It is an even number. It is divisible by 2 3 and 6. None of the digits are less than 4. None of the digits are used more than once. The sum of the digits is 30. The digit... more

03/08/18

What is the sum of the composite positive integers less than 100 that are not divisible by 2, 3 or 5?

The answer is 217 but I don't know the solution

03/08/18

Prove that the six-digit whole number abc,abc is divisible by 7?

I don't know how to prove this

09/22/17

Question is in the desciptions

Jay has 9 cupboards with the numbers 1 to 9 written. He has to form 3 three-digit numbers which are divisible by 9 with these cardboards and arrange them in ascending order. In how many different... more

04/30/17

Why can x only be a number in "35n + 17"

r => row of chairs x => total amount of chairs When you try to make 5 rows, there's 12 chairs left over. When you try to make 7 rows, there's 4 chairs too little. And that... more

02/02/17

among the numbers-0,1,2,3,4,5,6,7,8,9 how many teams can be made so that it contains four numbers and the sum of them are divisible by 3.

NOTE THAT,the sequence doesn't matter.such that (1,2,3,4) and (1,3,2,4) are same

01/18/17

one fork and five knives balance 4 spoons.also 3 knives balance 2 forks and 2 spoons.then how many forks balance 2 knives and 2 spoons

question is been relates to junior maths olympiad prectice test.for class 5

11/15/16

Divisibility

What is the least number that is divisible by 2, 3, 4, 5, 6, 8, 9 and 10?

01/24/16

Prove Divisibility:

Prove that (a + b + c)333 - a333 - b333 - c333 is divisible by (a + b + c)3 - a3 - b3 - c3 How can I start this? Thanks.

10/08/15

Properties of Divisibility

Let a, b, and c be integers with a≠0. Prove that if a|b and b|c then a|c.

02/06/15

How many numbers could it be?

I left my glasses at home so I couldn't quite see the number on the board. The first digit was a 7 and the last was a 4, but I couldn't make out the middle numbers. It was certainly a 4 digit... more

10/22/14

What is the largest positive six digit number using 1, 2,4,5,7,8 only once that is divisible by 11.

each digit can be used only once

10/21/14

Next year C will be half the age of G. G will be 6 years older than C next year. How old is G this year?

Next year Charlie will be half the age of Gwen. Gwen will be 6 years older than Charlie next year. How old is Gwen this year?

10/09/14

how much greater were his earnings with week than without?

Scott earned $35, $40, $40, $25, and $45 for 5 weeks of part-time work. During a school break, he worked-full-time for one week and earned $187. How much greater were his mean weekly earnings with... more

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