Question : Let $x$ be the least 4-digit number which when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If $x$ lies between 2800 and 3000, then what is the sum of the digits of $x$?

Option 1: 12

Option 2: 15

Option 3: 13

Option 4: 16

Question : Let $x$ be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but $x$ is divisible by 11. The sum of the digits of $x$ is

Option 1: 5

Option 2: 6

Option 3: 9

Option 4: 4

Question : What is the sum of the digits of the least number which when divided by 15,18, and 36 leaves the same remainder 9 in each case and is divisible by 11?

Option 1: 15

Option 2: 16

Option 3: 18

Option 4: 17

Question : Find the least number which when divided by 4, 9, 12, and 15, leaves the remainder 3 in each case.

Option 1: 360

Option 2: 183

Option 3: 193

Option 4: 180

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