Question : 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:
Option 1: 126
Option 2: 64
Option 3: 137
Option 4: 149
Correct Answer: 149
Solution :
If the remainder in each case is the same.
7306 – 6454 = 852
8797 – 7306 = 1491
8797 – 6454 = 2343
HCF of 852, 1491, and 2343:
HCF = 213
So, the greatest number, $d$ = 213
Remainder, $r$ = 64
$\therefore d - r$ = 213 – 64 = 149
Hence, the correct answer is 149.
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