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

Question : What is the greatest number of six digits, which when divided by each of 16, 24, 72, and 84 leaves the remainder 15?

Option 1: 999981

Option 2: 999951

Option 3: 999963

Option 4: 999915

Question : When a certain number is divided by 65, the remainder is 56. When the same number is divided by 13, the remainder is $x$. What is the value of $\sqrt{5x-2}$?

Option 1: $2 \sqrt{7}$

Option 2: $\sqrt{13}$

Option 3: $2 \sqrt{2}$

Option 4: $3 \sqrt{2}$

Question : Find the greatest number which when divided 261, 853, and 1221, leaves a remainder of 5 in each case.

Option 1: 19

Option 2: 18

Option 3: 17

Option 4: 16

Question : The greatest number by which 2300 and 3500 are divided, leaving the remainder of 32 and 56 respectively, is:

Option 1: 136

Option 2: 168

Option 3: 42

Option 4: 84