Knowee
Questions
Features
Study Tools

Select the correct answerA certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?Options5139111

Question

Select the correct answerA certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?Options5139111

🧐 Not the exact question you are looking for?Go ask a question

Solution

The remainder when a number is divided by 45 is 31. This means that the number is of the form 45n + 31, where n is the quotient.

Now, we need to find the remainder when this number is divided by 15.

We can rewrite the number as follows:

45n + 31 = 15(3n) + 31

When this number is divided by 15, the remainder is the same as when 31 is divided by 15.

31 divided by 15 gives a quotient of 2 and a remainder of 1.

So, the remainder when the original number is divided by 15 is 1.

Therefore, the correct answer is 1.

This problem has been solved

Similar Questions

Select the correct answer15.A certain number when successively divided by 3 and 5 leaves reminder 1 and 2. what is the reminder, if the same number be divided by 15?Options48675

NumbersA number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will beOptions51276

NumbersWhen a number is divided by 357 the remainder is 39. If that number is divided by 17, the remainder will be :Options30511

On dividing a certain number by 342, we get 47 as reminder. If the same number is divided by 18, what will be the remainder?Options :A.7B.9C.11D.13

Select the correct answerA number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will beOptions2, 31, 23, 24, 1

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.