Multiple choice

What is the largest number which when divides 1475,3155 and 5255 leaves the same remainder in each case

  1. 220

  2. 420

  3. 350

  4. 540

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number must divide the differences: 3155-1475 = 1680, 5255-3155 = 2100, 5255-1475 = 3780. GCD(1680, 2100, 3780) = 420.

AI explanation

The greatest number that leaves the same remainder in each case is the highest common factor of the differences between the numbers. We calculate the differences as 3155 - 1475 = 1680 and 5255 - 3155 = 2100. Finding the HCF of 1680 and 2100 gives 420. The result is 420.