Select the correct answerWhen 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?Options23171311
Question
Select the correct answerWhen 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?Options23171311
Solution
The problem can be solved by using the properties of remainders.
Step 1: The remainder when 242 is divided by the divisor is 8. This means that 242 - 8 = 234 is divisible by the divisor.
Step 2: The remainder when 698 is divided by the divisor is 9. This means that 698 - 9 = 689 is divisible by the divisor.
Step 3: The sum of the two numbers 242 and 698 is 940. The remainder when 940 is divided by the divisor is 4. This means that 940 - 4 = 936 is divisible by the divisor.
Step 4: The divisor must be a factor of 234, 689, and 936. The only number that is a factor of all three numbers is 17.
Therefore, the value of the divisor is 17.
Similar Questions
Select the correct answerTwo different numbers when divided by a divisor left reminder 11 and 21 respectively. When their sum was divided by the same divisor reminder was 4. what is the divisor?Options89351528
When a number is divided by a certain divisor, the remainder is 46. If another number is divided by same divisor, it leaves remainder 31. If the sum of both the numbers is divided by the same divisor, it gives remainder 19. Find divisor
When a number is divided by 13, the remainder is 10. When the same number is divided by 17, the remainder is 8. What is the number?
Select the correct answerA number when divided by a divisor left reminder 23. When twice of the number was divided by the same divisor, reminder was 11. what is the divisor?Options235122534
Find the sum of the remainders obtained when a number n is divided by 9 and 7 successively, if n is the smallest number that leaves respective remainders of 4, 6 and 9 when divided successively by 13, 11 and 15.4596
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.