A number when divided by 296 gives a remainder 75. The remainder when the same number is divided by 37 is
Question
A number when divided by 296 gives a remainder 75. The remainder when the same number is divided by 37 is
Solution
The number when divided by 296 gives a remainder of 75. This means the number is in the form of 296k + 75, where k is the quotient.
Now, we need to find the remainder when this number is divided by 37.
We know that 296 is a multiple of 37. In fact, 296 = 37 * 8.
So, we can rewrite the number as (37 * 8k) + 75.
When this number is divided by 37, the first term (37 * 8k) will not leave a remainder because it is a multiple of 37.
So, the remainder will be the remainder when 75 is divided by 37.
When 75 is divided by 37, the remainder is 1.
So, the remainder when the original number is divided by 37 is 1.
Similar Questions
A number when divided by 259 leaves a remainder 139. What will be the remainder when the same number is divided by 37?
A number when divided by 729 gives a remainder of 56. What will we get as remainder if the same number is divided by 27 ?
Find the smallest number that must be added to 1994 such that a remainder of 28 is left when the number is divided by 38, and 57?
On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will the remainder ?0123
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
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.