Question : Find the least number which when divided by 12, 18, 24, and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

Option 1: 366

Option 2: 364

Option 3: 384

Option 4: 634

Question : If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the number is:

Option 1: 6

Option 2: 9

Option 3: 12

Option 4: 4

Question : The largest five-digit number which when divided by 7, 9, and 11, leaves the same remainder as 3 in each case, is:

Option 1: 95840

Option 2: 98685

Option 3: 96720

Option 4: 99795

Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?

Option 1: 3

Option 2: 1

Option 3: 4

Option 4: 2

Question : The sum of the digits of the least number which when divided by 36, 72, 80 and 88 leaves the remainder 16, 52, 60 and 68, respectively, are:

Option 1: 17

Option 2: 11

Option 3: 14

Option 4: 16