If r is the remainder when each of 6454, 7306, and 8797 is divided by the greatest number d (d > 1), then (d - r) is equal to:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 149
Firstly we will find the difference of the numbers = 7306 – 6454 = 852
And 8797 – 7306 = 1491
Factors of 852 = 2 × 2 × 213
Factors of 1491 = 7 × 213
Now the common factor of 852 and 1491 = 213
Greatest number d = 213
Now remainder left when we divide 6454 is divided by 213 = 64 = r
The value of ( d - r ) = 213 – 64 = 149