Question : M is the largest 4-digit number which, when divided by 4, 5, 6, and 7, leaves the remainder as 2, 3, 4, and 5, respectively. What will be the remainder when M is divided by 9?

Option 1: 2

Option 2: 1

Option 3: 3

Option 4: 6

Question : The least number, which when divided by 5, 6, 7 and 8 leaves a remainder of 3, but when divided by 9, leaves no remainder, is:

Option 1: 1677

Option 2: 1683

Option 3: 2523

Option 4: 3363

Question : Let $x$ be the least number which, when divided by 5, 6, 7, and 8, leaves a remainder of 3 in each case, but when divided by 9, leaves no remainder. The sum of the digits of $x$ is:

Option 1: 21

Option 2: 22

Option 3: 18

Option 4: 24

Question : When positive numbers a,b, and c are divided by 13, the remainder are 9, 7, and 10, respectively. What will be the remainder when (a + 2b + 5c) is divided by 13?

Option 1: 8

Option 2: 9

Option 3: 5

Option 4: 10