Question 53

When 6892, 7105 and 7531 are divided by the greatest number x, then the remainder in each case is y. What is the value of (x - y)?

Solution

We have to find HCF of given numbers : 6892, 7105, 7531

7105 - 6892 = 213

7531 - 7105 = 426

426 - 213 = 213

So, Either the difference or the factor of difference is the HCF of those given number.

Here , 213 is the HCF.

When 6892, 7105, 7531 is divided by 213 we get 76 as an remainder

So, x = 213 and y = 76

According to Question :

x - y = 213 - 76 = 137

Hence, Option B is correct.

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